Laws of Motion & Friction · JEE Main previous year questions

2023 30 questions

1. Q402023 · 29 Jan 2023 · Shift 1

   A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if the coefficient of friction between tyres and road is 0.34. [take $g=10\mathrm{m}{\mathrm{s}}^{-2}$]

   1. A.$3.4\mathrm{m}{\mathrm{s}}^{-1}$
   2. B.$13\mathrm{m}{\mathrm{s}}^{-1}$
   3. C.$22.4\mathrm{m}{\mathrm{s}}^{-1}$
   4. D.$17\mathrm{m}{\mathrm{s}}^{-1}$
   Show answer

   Answer: B

2. Q392023 · 29 Jan 2023 · Shift 2

   The time taken by an object to slide down $45^{\circ }$ rough inclined plane is n times as it takes to slide down a perfectly smooth $45^{\circ }$ incline plane. The coefficient of kinetic friction between the object and the incline plane is :

   1. A.$1-\frac{1}{n^2}$
   2. B.$1+\frac{1}{n^2}$
   3. C.$\sqrt{1-\frac{1}{n^2}}$
   4. D.$\sqrt{\frac{1}{1-n^2}}$
   Show answer

   Answer: A

3. Q362023 · 25 Jan 2023 · Shift 2

   Consider a block kept on an inclined plane (incline at $45^{\circ }$) as shown in the figure. If the force required to just push it up the incline is 2 times the force required to just prevent it from sliding down, the coefficient of friction between the block and inclined plane$(\mu )$ is equal to :

   1. A.0.60
   2. B.0.33
   3. C.0.25
   4. D.0.50
   Show answer

   Answer: B

4. Q382023 · 25 Jan 2023 · Shift 2

   Every planet revolves around the sun in an elliptical orbit :- A. The force acting on a planet is inversely proportional to square of distance from sun. B. Force acting on planet is inversely proportional to product of the masses of the planet and the sun. C. The Centripetal force acting on the planet is directed away from the sun. D. The square of time period of revolution of planet around sun is directly proportional to cube of semi-major axis of elliptical orbit. Choose the correct answer from the options given below :

   1. A.C and D only
   2. B.B and C only
   3. C.A and D only
   4. D.A and C only
   Show answer

   Answer: C

5. Q322023 · 24 Jan 2023 · Shift 1
   
   1. A.$(4\sqrt{3}-1)\mathrm{N}$
   2. B.$(4\sqrt{3}+1)\mathrm{N}$
   3. C.$4(\sqrt{3}-1)\mathrm{N}$
   4. D.$4(\sqrt{3}+1)\mathrm{N}$
   Show answer

   Answer: D