JEE Main Physics Test- 3 - JEE MCQ

A ball is thrown vertically upward with a speed v from a height h meters above the ground. The time taken for the ball to hit ground is

A long spring is stretched by 2 cm. Its potential energy is U. If the spring is streched by 10 cm, its potential energy would be

A uniform flexible chain of mass m and length 2 l hangs in equilibrium over a smooth horizontal pin of negligible diameter. One end of the chain is given a small vertical displacement so that the chain slips over the pin.The speed of chain when it leaves pin is

A sphere A of mass m moving with constant velocity u hits another stationary sphere B of the same mass in a head on collision. if e is the coefficient of restitution, what is the ratio of velocities of sphere A to the sphere B after collision?

The radius of gyration of a uniform rod of length L about on axis passing through its centre of mass is 

In case of an orbiting satellite if the radius of orbit is decreased 

Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative

A system undergoes a cyclic process in which it absorbs Q₁ heat and gives out Q₂ heat. The efficiency of the process is η and work done is W. Select the correct statement

A cylinder of radius R, made of a material of thermal conductivity k_1,  is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The shell is made of a material of thermal conductivity k₂.  The two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is

In the arrangement shown coefficient of friction between the two blocks A and B is 0.6 and ground is frictionless. Force constant of spring is 900 N/m. Find the maximum elongation of spring (in cm) such that the blocks do not slip over each other when released.

Two particles A & B are projected from top of two towers of height 300 m and 600 m with velocity 50 m/s and 250 m/s respectively. The angular velocity of B wrt A is α rad/min. Fill the value of 10a in OMR sheet

A sphere of radius r is projected up an inclined plane for which  with a velocity v₀ and initial angular velocity . The total time of rise is found to be Find k.

A hemispherical bowl of radius R = 0.1m is rotating about its own axis (which is vertical) with an angular velocity ω. A particle of mass 10^–2 kg on the frictionless inner surface of the bowl is also rotating with the same ω. The particle is at a height h from the bottom of the bowl. It is desired to measure 'g' using this set up, by measuring h accurately. Assuming that R and ω are known precisely and that the least-count in the measurement of h is 10^–4 m, the numerical value of minimum possible error Δg in the measured value of g is given by α x 10^–2 m/s². Fill the value of α in OMR sheet.

A bimetallic strip consisting of a brass strip and a steel strip, each of length 1 m and each of thickness 0.5 cm is clamped at one end  as shown in figure. Calculate the depression to the nearest integer (in cm) of the free end when it is heated by 100ºC. 
[Take : α_iron = 11 × 10^–6 K^–1; α_brass = 19 × 10^–6 K^–1]