MEDIUM
JEE Main
IMPORTANT
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A ball of mass 1 kg moving along x-direction collides elastically with a stationary ball of mass m. The first ball (mass =1 kg) recoils at right angle to its original direction of motion. If the second ball starts moving at an angle 30° with the X-axis, then the value of m must be,

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Important Questions on Engineering Entrance Solved Papers 2018 JEE Main & Advanced/BITSAT/KCET/Andhra Pradesh & Telangana (EAMCET)/VIT/MHT CET

EASY
JEE Main
IMPORTANT
A machine gun can fire 200 bullets min-1. If 35 g bullets are fired at a speed of 750 m s-1, then the average force exerted by the gun on the bullets is,
HARD
JEE Main
IMPORTANT
A solid sphere of radius R makes a perfect rolling down on a plane which is inclined to the horizontal axis at an angle θ. If the radius of gyration is K, then its acceleration is,
MEDIUM
JEE Main
IMPORTANT

A particle of mass m is attached to four springs with spring constant k, k, 2k and 2k as shown in the figure. Four springs are attached to the four corners of a square and a particle is placed at the centre. If the particle is pushed slightly towards any sides of the square and released, the period of oscillation will be,

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MEDIUM
JEE Main
IMPORTANT
The ratio of the height above the surface of earth to the depth below, the surface of earth, for gravitational accelerations to be the same (assuming small heights) is
EASY
JEE Main
IMPORTANT
A steel rod has radius 50 mm and length 2 m. It is stretched along its length with a force of 400 kN. This causes an elongation of 0.5 mm. Find the (approximate) Young's modulus of steel from this information.
MEDIUM
JEE Main
IMPORTANT
Consider a vessel filled with a liquid upto height H. The bottom of the vessel lies in the XY-plane passing through the origin. The density of the liquid varies with Z-axis as ρz=ρ02-zH2. If p1 and p2 are the pressures at the bottom surface and top surface of the liquid, the magnitude of p1-p2 is,
HARD
JEE Main
IMPORTANT
A one mole of ideal gas goes through a process in which pressure p varies with volume V as p=3-gVV02, where V0 is a constant. The maximum attainable temperature by the ideal gas during this process is (all quantities are is SI units and R is gas constant),
HARD
JEE Main
IMPORTANT
The internal energy of the air in a room of volume V at temperature T and with outside pressure p increasing linearly with time varies as,