Quest of Physics(JEE Main)(Easy Level)

Three bodies A, B and C have equal kinetic energies and their masses are 400 g, 1.2 kg and 1.6 kg respectively. The ratio of their linear momenta is :

• 1:√3:2

• √3:√2:1

• 1:√3:√2

• √2:√3:1

In the given arrangement of a doubly inclined plane two blocks of masses 𝑀 and 𝑚 are placed. The blocks are connected by a light string passing over an ideal pulley as shown. The coefficient of friction between the surface of the plane and the blocks is 0.25. The value of 𝑚, for which 𝑀=10 kg will move down with an acceleration of 2 m/s2, is: (take g=10 m/s2 and tan 37=3/4)

• 4.5 Kg

• 5.5 Kg

• 6.5 Kg

• 9 Kg

A light unstretchable string passing over a smooth light pulley connects two blocks of masses 𝑚1 and 𝑚2. If the acceleration of the system is 𝑔/8, then the ratio of the masses 𝑚2/𝑚1 is :

• A. 5:3

• B. 8:1

• C. 9:7

• D. 4:3

All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass     2 kg is :

• g

• g/2

• g/3

• g/4

A 1 kg mass is suspended from the ceiling by a rope of length 4 m. A horizontal force '𝐹' is applied at the mid point of the rope so that the rope makes an angle of 45∘ with respect to the vertical axis as shown in figure. The magnitude of 𝐹 is :

• 1 N

• 10 N

• 10/√2 N

• 1/10√2 N

A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time 𝑡. Which of the following curve best describes acceleration of the block with time :

• 
• 
• 
• 

A block of mass 𝑚 is placed on a surface having vertical crossection given by 𝑦=𝑥²/4. If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

• 1/2

• 1/3

• 1/4

• 1/6

A block of mass   5 kg is placed at rest on a table of rough surface. Now, if a force of   30 N is applied in the direction parallel to the surface of the table, the block slides through a distance of   50 m in an interval of time   10 s. Coefficient of kinetic friction is (given,   𝑔=10 ms⁻²):

• 0.25

• 0.50

• 0.60

• 0.75

A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:

• 40 N

• 20 N

• 5 N

• 10 N

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

• 1 - (1/n^2)

• 1 + (1/n^2)

• √(1 - (1/n^2))

• √(1/(1 - n^2))