Ch-8 Uniform Circular Motion Class-11 Nootan ISC Physics Solutions of Kumar and Mittal Physics of Nageen Prakashan. Chapter 13: Kinetic Theory. Rate of heat flow (5 hour) 12. me/ZAZB/widie96h 📲 PW App/W Answer. Complex topics are explain point-wise in step by step manner so that students can learn this topics very easily. The tension in the string at this position is. In this type of motion, the object continuously changes its direction as it moves around the circle, while its speed remains constant. When a roller coaste For PDF Notes and best Assignments visit http://physicswallahalakhpandey. A car is moving on a horizontal curved road with radius 50 m. 21 m/s. 56 N. The position of the particle P at a given instant may be described by the angle q between OP and OX. 2 7 πt + 0. , mg acting vertically downwards. B. At highest point, the linear momentum is mu cos θ and the kinetic energy is (1/2)m(u cos θ)2. The size of the Interactive can be scaled to fit the device that it is displayed on. Example 1. Centripetal Force and Centrifugal Force. 2. HOPE IT HELPS. Since the body is rotated in a circular motion therefore, Energy of the system at point A = Energy of the system at point B. (a) impulse, pressure and area. Circular Motion and Rotational Kinematics. Jun 17, 2023 · Question 4. Now, when the object reaches at the point where string becomes horizontal, its speed is given by v2 = u2 + 2gh The velocity of a Body Moving in a Vertical Circle is an expression of the speed with which a body moves in a vertical circle. This video Aug 31, 2020 · Vertical Circle class 11 physics | Class 11 physics all derivation blue sky 🏆Instagram-- https://www. PDF Link :Shobhit Nirwan Class 11 Physics Laws of Motion Notes PDF. (d) its motion is linear. Answer: (c) Q. A small body attached at the end of an inextensible string completes a vertical circle, then its (a) angular momentum remains constant 4) One end of a string of length is tied to a mass of It is whirled in a vertical circle with initial angular frequency Find the tension in the string when the ball is at the lowermost point of its motion. Question 1. The vertical displacement of the projectile after t seconds y = (u sin θ) t — (1/2)gt2. The compatibility with iPads, other tablets, and Chromebooks make it a perfect tool for use in a 1:1 classroom. 3 days ago · Hint: So, at first by seeing the question we should be drawing the pictorial image of the question for easy understanding. Chapter 3 Motion in a Straight Line. Motion is an important concept in Physics, which basically describes the change in the Dec 15, 2020 · Motion in a Vertical Circle Class 11 Physics | Newton's Laws of Motion | CBSE JEE NEETIn this video lecture I have discussed the concept of motion in a verti Jun 24, 2024 · Consider an object of mass m, wrapped at one end in a stretchable string whirled in a vertical circle of radius r. 5ms –1 . 11. = 75 x 109-Nm2. =75 x 1010-Nm2. This will act as initial speed for when the string becomes horizontal. May 1, 2021 · 2. (a)Yield strength of a material is the maximum stress that the material can sustain and retain its elastic property. The simulation allows you to explore four different scenarios. Chapter 5 Laws of Motion. The approximate maximum speed of car will be, if friction between tyres and road is 0. A car is moving on a circular path and takes a turn. Imagine watching the summer Olympics, specifically the gymnastics competitions. Jan 23, 2024 · Question 10. Our NCERT Physics Class 11 solutions make it simple, reducing stress and boosting understanding. The formula V = 2πr/t helps determine an object's velocity with respect to another object in a linear motion. 1 solutions Simple Harmonics Motion exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. Understanding the concept of banking, used in road design and other scenarios to ensure safe circular motion without skidding. May 26, 2024. PHYSICSClass XI-XII (Code No. ↪ This is a maximum tension in the string. D. Then, the chapter discusses energy. Jul 20, 2022 · Answer: (d) Projectile motion. Using HC Verma Class 11, Class 12 Concepts of Physics Vol. Therefore, f c = m R ω2. A ball is travelling with uniform translatory motion. A mass of 0. ↪ Thus tension is a maximum when the object is at the lowest point of the vertical circle. #workenergytheorem #workdonebyworkenergytheorem #ConceptSeries Work Energy Theorem | Vertical Circular Motion L6 | Class 11 Physics JEE, NEET 𝗚𝗲𝘁 𝗦𝗵𝗼 Answer: (a) Given: Mass of the block = m Friction coefficient between the ruler and the block = μ Let the maximum angular speed be ω1 for which the block does not slip Now, for the uniform circular motion in the horizontal plane, we have: μ m g = m ω 1 2 L ∴ ω 1 = μ g L (b) Let the block slip at an angular speed ω2. courses. 1 N B. (Take . The process of solving a circular motion problem is much like any other problem in physics class. 5 π) in SI units. Show Answer. (a) its acceleration is constant. A projectile is projected with a linear momentum p making angle θ with the horizontal. 0 kg is whirled round in a vertical circle of radius 2m with a constant speed of 6 ms-1. Download the App from Google Play Store. u = √gl. 5\,{\text{m}}{{\text{s}}^{ - {\text{1}}}}\]. 5 days ago · Class 11 Physics, Chapter 6 - “Work, Energy and Power” deals with the foundational Physics concepts. https://amzn. Examples of circular motion include a car moving around a roundabout or a planet orbiting the sun. A small body attached at the end of an inextensible string completes a vertical circle, then its. Answer. Due to the influence of gravitational force on Earth (g = 9. (d) total mechanical energy remains constant. Read More. Dec 24, 2020 · Watch Ad Free Videos ( Completely FREE ) on Physicswallah App(https://bit. Class 11 - Circular Motion. (b) a cork of mass 10 g floating on water. Jun 27, 2022 · JEE Main 2023 (Online) 29th January Morning Shift. 3 N Circular motion uniform ya non-uniform ho sakta hai. Class 11 Notes: Those students who are studying in class 11th can check the important topics, question paper and notes from the links given on this page. (c) all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant. Get Physics Circular motion comprehensive notes, detailed Q&As, and past question papers solutions and video tutorials. We know that, v= R ω. The scenarios are: A ball attached to a light rod and moving in a vertical circle. Revise easily with PDF solutions. The time period of oscillation is (a) 10 s (b) 1 s (c) 0. (c) its velocity is constant. Yo-yo in vertical circle example (Opens a modal) Bowling ball in vertical loop Jul 11, 2021 · Q2. 2 Convection Chapter 7, Circular Motion, deals with circular motion. Class 11 Physics NCERT Book Part 1 PDF Download. 2. A range of input parameters can be altered and their impact upon the acceleration, net force, and force components can be Jun 18, 2021 · Here we have given NCERT Solutions for Class 11 Physics Chapter 5 Laws of Motion. 8 m/${s^2}$), The object's velocity and stress vary due to earth gravity in maximum magnitude form at the lowest to the smallest at the highest location. Jan 21, 2019 · Here's the video on VERTICAL CIRCULAR MOTION which contains Derivation & Numericals on Vertical Circular Motion. Class 11 Physics NCERT Book Part 2 PDF Download. So the minimum velocity needed at the highest point to complete a vertical circle is expressed as √ (gr) Multiple Choice Questions. (d) none of these. Chapter 15: Ray Optics and Optical Instruments. 6 Triple point. Students will be able to get crystal clear Concepts of Physics Class 11. When a ball is swung on a string in a vertical circle, the tension is greatest at the bottom of the circular path. Consider a small body with mass m whirled in a vertical circle with radius t by one end of a string. 1 day ago · Therefore, the speed of the object at the topmost point = √gl where, g is acceleration due to gravity, and l is radius of the vertical circle. Sep 21, 2017 · Critical velocity formula is expressed as V1 = √ (gr) where g is the acceleration due to gravity and r is the radius of the vertical circular path being traversed by the object. 05 x 10 = 0. Unit 2. 2 N. As the students of Class 11 need the books for their regular studies, we have provided all NCERT book for Motion In A Vertical Circle in pdf here for free download. A ball moving along the wall of a vertical (and circular) loop. Class 11. Physics notes pdf class 11 cannot be download in PDF, but can NCERT Solutions Class 11 Physics Chapter 7 – Free PDF Download *According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 6. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Motion in a Vertical Circle Consider the motion of a stone tied to a string and whirled in a vertical circle. 5 s Answer: (a) 10 s Solution: Comparing with the standard equation y = A sin (ωt + φ) Question 11. The angular velocity depends upon the rate of change of the? (a) Angular acceleration (b) Angular Distance (c) Angular Displacement (d) torque. 190 m Q. Class 11 shapes your future. (d) a car moving with a constant velocity of 30 km/h on a rough road. Chapter 1 Physical World. 5 units. . Case Study Based Questions on Class 11 Physics Chapter 7 System of Particles and Rotational Motion. Physical world. In this example, the body’s acceleration increases as it descends the vertical circle and drops as it ascends it. Nov 6, 2023 · Chapter 11: Thermal Properties of Matter. Motion in a Vertical Circle. Under this, the concepts covered are kinetic energy and potential energy. A body starting from rest has an acceleration of 20 m/s2. 4 Specific latent heat of fusion and vaporization. in 11th Class. 002 = 150 x 106/2 x 10-3. SL Arora Physics Class 11 PDF Free Download Chapter wise. C. (b) its motion is circular. Select and buy. com/Live Classes, Video Lectures, Test Series, Lecturewise notes, topicwise DPP, dyn NCERT Solutions for Class 11 Physics Chapter 9 Mechanical Properties of Solids. In this video, we will derive the circular motion equations for vertical circular motion situations by considering the centripetal force. It should make sense that the tension at the bottom is the greatest. The resultant of two forces P and Q is R. When the string makes an angle 30 o with the vertical, the speed of the mass is 1. 1 solutions Circular Motion exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. A ball attached to a light string and moving in a vertical circle. Chapter 12: Thermodynamics. 0 m away. Law 3. All pdf NCERT books available here for Class 11 will help them to read on their mobile or computers. (c) The pebble is not at rest at highest point but has horizontal component of velocity. Motion in a vertical circle. Give two examples for motion in a vertical circle? Aug 27, 2019 · 11th Physics Concept Explanationcircular motion,vertical circular motion,vertical circular motion physics,motion in a vertical circle class 11,motion in a ve This video explains concept of circular motion of a particle executing vertical circle like a bell tied to string and rotated in vertical circle. Consider the mass of a body m and the magnitude of the centripetal force f c, f c = mass × acceleration. The tension in the string at this position is: A. m #verticalcircle#physics#centripetalforce#motion#force#lawsofmotion#class11#circluarmotionWelcome to youtube Channel of Radhika Classes first of all like this Apr 3, 2024 · 11. Circular motion can be defined as the rotational movement of an object along a circular path. This is where the rope is most likely to break. It follows that. Now analyze the force acting on the particle at each point then we can see that at the topmost position when the particle is attaining a certain velocity that it can complete one round of the circle without giving any force then the equation of tension will give the Feb 24, 2023 · Angle of friction and repose. The displacement equation of an oscillator is y = 5 sin (0. Jun 1, 2024 · Book contents –. Assertion : For the motion of electron around nucleus, Newton’s second law is used. The angle made by the position vector with given line (reference line) is called angular position Circular motion is a two dimensional motion or motion in a plane. The process involves a careful reading of the problem, the identification of the known and required information in variable form, the selection of the relevant equation(s), substitution of known values into the equation, and finally algebraic Apr 14, 2023 · The motion takes place in a plane. This means that. The corresponding acceleration is denoted by g and is called acceleration due to gravity. Applications of Banking. Uniform circular motion me, rotation aur speed ka angular rate constant hota hai aur non-uniform motion me, rotation ka rate change hote rehta hai. 4 units. The horizontal displacement of the projectile after t seconds x = (u cos θ)t 3. PHYSICS. NCERT Solutions for Class 11 Physics Chapter 7 System of Particles and Rotational Motion, are important study materials that will help students understand the topic more deeply, thereby guiding them in scoring good marks in the Class 11 exam Motion in Vertical Circle. Answer: (b) Motion in two dimensions. Bending of cyclist. (e) a high-speed electron in space Maximum CBSE Physics Class 11 students prefer NCERT Exemplar Textbook Solutions to score more in exams. com/adbhut-batch-english-medium-live-classes🔴👉For Batch Enquiry Fill This Form:- https://www. Download Lecture Notes From Phy Jul 12, 2024 · If the motion of a particle is taking place in a vertical circle, the motion will be non-uniform. 2 mins mins read. Work Power and Energy. NCERT Answers Part 1. Motion in a plane is called (a)Motion in one dimension (b)Motion in two dimensions (c)Motion in three dimensions (d)Motion in four dimensions. (c) angular velocity remains constant. A 2 kg stone is swung in a vertical circle by attaching it at the end of a string of length 2m. If a substance is fixed to a cord and moved in a vertical circle as This simulation allows the user to explore the motion of three different objects moving in a horizontal circle. 5 N. Solution) d. 42) (2022-23)Senior Secondary stage of school education is a stage of transition from general educat. When a disc containing mercury and water is rotated rapidly about a vertical axis, then the outermost place in the disc will be taken by: (a) water. The tangential acceleration of the mass at that instant is. (b) mercury. Example – 02: A stone weighing 1 kg is whirled in a vertical circle at the end of a rope of length 0. Subject wise notes are provided in PDF format for the ease of the candidates. Solution: Young’s modulus, Y =Stress/Strain =150 x 106/0. Answer: (c) The resultant of any three vectors will be cancel out by Fourth vector. Science. 3 Change of phases: Latent heat. Jun 13, 2023 · 📣 For Physics, Chemistry & Bio Handwritten Notes for 11th, 12th, NEET & IITDownload our Apphttps://dhxel. Hope the information shared regarding the NCERT MCQ Questions for Class 11 Physics Chapter 4 Motion in a Plane with Answers Pdf free download is true and genuine as far Class 11 Physics (India) 19 units · 193 skills. Work done on inclined plane. (a) a drop of rain falling down with a constant speed. A. magnetbrains. 12. Que-28: A ball is fixed to the end of a rod and is revolved in a horizontal circle of radius 5 m with a speed of 10 m/s. Centripetal force is not something new. 0 m/s at an angle of \ (66. A body weighing 04 kg is whirled in a vertical circle making 3 rps If the radius of the circle is 12 m find the tension in the string at i top of the circle ii bottom of the circle. 5. CBSE Sample Papers for Class 11 Physics Set 2 with Solutions Time Allowed : 3 hours Maximum Marks : 70 General Instructions: There are 33 questions in all. Ans. Consider the quantities pressure, power, energy, impulse, gravitational potential, electric charge, temperature and area. Give the magnitude and direction of the net force acting on. Access the answers to NCERT Solutions for Class 11 Physics Chapter 5 Laws of Motion. The velocity of anybody undergoing motion in a vertical circle is given by v = u2 − 2gh− −−−−−−√. Thermal expansion (Conceptual numerical problems) Practice set 18: https://youtu. Firstly, suppose a cricket player hit a ball, guiding it away from the bat at a velocity of 45. ↪ The object is moving with a uniform velocity v. Jun 29, 2022 · Answer. This is the result of the gravitational force that is exerted by the earth. i. Today we are going to study about Motion In A Vertical Circle with Sarim Khan. Learn the concepts of Class 11 Physics Work, Energy and Power with Videos and Stories. In this video, we will discuss the motion in a vertical circle. A particle has a displacement of 2 units along the x -axis, 1 unit along the y – axis and 2 units along the z – axis. This force is known as centripetal force. The present updated syllabus keeps in view the rigor and depth of disciplinary approach as. Chapter 14: Oscillations and Waves. 2 Measurement of specific heat capacity of solids and liquids. The questions involved in HC Verma Solutions are essential questions that can be asked in the final exam. 8:32mins. ly/3ru9Agh). Circular motion refers to the movement of an object along a circular path. (b) the path can be a straight line or circular and the ball travels with uniform speed. This the CBSE Exam, class 12. NCERT Answers Part 2. 4. 7. When an external force is applied to a body of constant mass the force produces an acceleration, which is directly proportional to the force and inversely proportional to the mass of the body. In this lesson, we shall learn Bending of Cyclist n Motion along a vertical Circle. Susmita Mahapatra. May 24, 2021 · To download lecture notes,practice sheet & practice sheet video solution visit Umeed Batch in Batch Section of PW App(http://bit. ISC PHYSICS; ISC Class 11; ISC Class 12; Online Classes; Login; Register; Join EduCour Classroom; August 2, 2022 by Sudipto Bose. Q. Get the free view of Chapter 6, Work, Energy and Power Physics Class 11 additional questions for Mathematics Physics Class 11 CBSE, and you can use Shaalaa. Reason : Acceleration does not depend on force. Jul 12, 2024 · The motion of a body in a vertical circle when it is released from an altitude, travels vertically downwards towards the earth’s surface. Vertical circular motion with the equation, velocity, and tension is described hereunder: Vertical Circular Motion Equation. Important Points & Formulae of Projectile Motion. Chapter 2 Units and Measurements. (c) sometimes water and sometimes mercury. Aug 18, 2021 · Q. Case Study Based Questions on Class 11 Physics Chapter 9 Mechanical Properties of Solids. 1 kg is rotated in a vertical circle using a string of length 20 cm. Calculate the distance travelled by it in 10th second. (b) In this case also F = mg = 0. Calculate the maximum tension in the string. Moreover, if the direction of travel of the ball is towards the end of the field which is 140. Jan 19, 2024 · Law 2. e. Chapter 7 System of Practice and Rotational. 1. A car travelled the first third of a distance x at a speed of 10 km/h, … Continue reading Numerical Problems Based on Class 11 Physics Chapter 3 Motion In A Straight Line Dec 19, 2023 · Motion in a Vertical Circle; CBSE Class 11 Physics Notes Chapter 7 – Systems of Particles and Rotational Motion. instagram. 95 m/s, The velocity of stone when the string is horizontal = 3. Ans: 76 N. If at any time (t), the body is at the angular position θ, the forces acting are: tension (T) in the string along the radius (r) towards the centre and the weight (w) of the body, i. Be great at concepts for higher classes and tough exams. (a) angular momentum remains constant. 4. 05 kg x 10 ms -2 = 0. (c) a kite skillfully held stationary in the sky. (b) impulse and area. Unit 1. All questions […] Motion in a Vertical Circle | Uniform Circular Motion Physics Class 11 Nootan#Nootan #KumarMittal #NCERT #2IITians #MLAggarwal Jul 27, 2022 · Numerical Problems Based on Class 11 Physics Chapter 3 Motion In A Straight Line Q. Then the resultant displacement of the particle is. Some of the examples are roller coasters, cars on hilly roads, etc. 3 N Answer: (a) When the pebble is moving upward, the acceleration g is acting downward, so the force is acting downward is equal to F = mg = 0. Oct 6, 2020 · In mechanics for jee main as well as in NEET every year questions are asked on different cases of Vertical Circular Motion of simple pendulum. By offering the Class 11 HC Verma Solutions Circular Motion PDF for free, Vedantu aims to A particle of mass 200 g, is whirled into a vertical circle of radius 80 cm using a massless string. Banking of roads. Physics class 11 has a Seventh Chapter named Systems of Particles and Rotational Motion based on the Syllabus. Acceleration of body down the plane. 5 Measurement of specific latent heat of fusion and vaporization. The speed of the particle when the string makes an angle of 60 ° with the vertical line is 1. EMI starts from ₹1,925 per month. Similarly, circular motion comes into play in the case of a circular path. ly/2SHIPW6). Motion In A Vertical Circle NCERT Book Class 11 Physics. Let B is the point where the mass is tied to the string and A is the top most point of the circle. 3. 4^ {\circ}\) in relation to the field. GeeksforGeeks provide detailed knowledge of how the system of particles moves in our daily lives. 1 Conduction: Thermal conductivity and measurement. 🔴👉 For Adbhut Batch Registration: https://www. 2 s (d) 0. on to discipline-based focus on curriculum. 5 m. Jan 16, 2020 · Solution: Ans: Velocity of stone at the lowermost point = 4. com/bluesky_pcm/?hl=enClass 11 Physics revis Feb 13, 2021 · Hello everyone. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Aug 16, 2023 · 🔰Click Here To Enroll in NEXUS ENGLISH Batch for Free & Get Access to Class Notes & Other things: https://physicswallah. Our curated NCERT Physics Class 11 solutions, made by experts, guide you to Jul 3, 2024 · A particle of mass 200 g, is whirled into a vertical circle of radius 80 cm using a massless string. (c) a kite skilfully held stationary in the sky. ↪ When the object arrives at point A, its weight mg and the tension T A in the string act in the opposite direction. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Q3. “To every action there is equal and opposite reaction force”. onelink. This means that you can access it anytime and from anywhere, making it easily accessible for your studying needs. The law of conservation of energy is discussed next. Case Study Based Questions on Class 11 Physics Chapter 8 Gravitation. If the centripetal force is absent then the circular motion is not possible. Isliye, non-uniform acceleration ke liye, angular acceleration zero nahi hota hai. 83 m/s, The velocity of stone at the topmost point = 2. The chapter begins with the concept of work in Physics. CBSE class 11 Physics notes contain all derivations and easiest diagrams for better explanation. 3 units. So it is classified as non-uniform circular motion. Sep 12, 2019 · #sachinsirphysicsin this video lectureI have explained the following topic circular motion in vertical circletension at any pointvelocity at any pointconditi Case Study Based Questions on Class 11 Physics Chapter 6 Work, Energy, and Power. An object of mass 8. com to keep it handy for your exam preparation. A ball rolling down an incline as it enters a vertical (and circular Sep 25, 2023 · NEET. ₹ 25,410 (9% Off) ₹ 23,100 per year. 3 days ago · Maths. When a body A exerts a force on another body B, B exerts an equal and Physics, all about matter, is key for science. (downwards). store/ or 📞Call / WhatsApp at - 9785944225 Mar 28, 2024 · Numericals on Motion in a Vertical Circle. (b) linear momentum remains constant. 2 N D. 1 N. Note: This batch The NCERT Exemplar Class 11 Physics Chapter 4 PDF provides solutions to questions in the chapter Motion in a Plane Class 11, along with NEET questions and other important questions from the NCERT book, sample papers and previous years’ question papers. 1 day ago · Hint: To this thing we assume a particle which is moving in vertical circular path when any object moving in vertical circular path then it has both type of acceleration radial acceleration as well as tangential acceleration by the radial acceleration object change its direction regularly means it helps to maintain the motion in a circular path Which provided by the centripetal Force and Jan 5, 2024 · Students must start practicing the questions from CBSE Sample Papers for Class 11 Physics with Solutions Set 2 are designed as per the revised syllabus. 5 ms-1. Question 5. (a) it is at rest. These include, a ball on a string, an airplane, and a car on a banked turn (without the need for friction). An object of mass 4 kg is whirled round a vertical circle radius 1 m with a constant speed of 3 ms-1. 56 N C. Class 11 Physics Chapter 4 MCQ Question 2. Chapter 6 Work, Energy, and Power. 6 lessons • 56m. In JEE Advance Complete step by step answer. Candidates can download the same and prepare accordingly. to/32gdK0lsee this alsohttps://youtu. 1. 1 day ago · Complete step by step solution: Step I: Let A and B be the two end points of a vertical circle. Out of these, the vector quantities are. Jul 13, 2024 · The PDF of HC Verma Solutions for Class 11 Physics Part-1 Chapter 7 - Circular Motion is conveniently available for free on Vedantu. Assertion : I f the net external force on the body is zero, then its acceleration is zero. Suppose a particle P is moving in a circle of radius r and centre O. Join / Login Motion in a Vertical Circle With String. The speed of the particle when the string makes an angle \[60^\circ \] with the vertical line is \[1. 1 units. Given, Mass, Radius, (indicates the centripetal force) FAQs. (d) a car moving with a constant velocity of 30 2 days ago · The motion in a vertical circle is considered nonuniform as the influence is observed the most at the lowest and the least at the highest point of the path. Chapter 4 Motion in a Plain. 34 View Question. Question 8. Practice MCQ Questions for class 11 Physics Chapter-Wise. May 26, 2024 · by Anwesha Bose. Calculate the maximum and the minimum tensions in the string. Reason : Newton’s second law can be used for motion of any object. be/VnEL9nd7h The Vertical Circle Simulation is an adjustable-size file that displays nicely on tablets such as the iPad, on Chromebooks, and on laptops and desktops. nn aa jz bt xt he pl qn lf xk