The velocity of a particle at an instant is 10ms-1. After 5 s, the velocity of the particle is 20ms-1. The
velocity at 3 s before the given instant is -
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A monkey can jump a maximum horizontal distance of 20 m. Then the velocity of the monkey is -
The velocity of projection of an oblique projectile is : The speed of the projectile at the highest
point of the trajectory is -
A source and a listener are moving towards each other with a speed (1/20)th of the speed of sound. If n is the frequency of the note emitted by the source, the frequency of the note heard by the listener will be nearly -
The frequencies of which one of the following overtones of an open organ pipe and a closed organ pipe of equal lengths are in the ratio 10 : 9.
A thermodynamic system undergoes from state 1 to 2 for which Q12 = 10 J and W12 = – 5 J. The system
is further returned to its initial state 1 by a different path for which Q21 = – 3 J. The total change in internal energy for the cycle is -
Two vessels of different materials are similar in size in every respect. The same quantity of ice filled in
them gets melted in 20 minutes and 40 minutes respectively. The ratio of their thermal conductivities is -
Figure shows cyclic process. From c to b, 40 J is transferred as heat from b to a, 130 J is transferred as heat, and work done is 80 J from a to c, 400 J is transferred as heat then -
(i) work done in process a to c is 310 J
(ii) Net work done in cycle is 230 J
(iii) Net change in internal energy in cycle is 130 J
(iv) Thermal efficiency is 57.5%
In the cyclic process shown on the V-P diagram, the magnitude of the work done cannot be equal to
A system undergoes a cyclic process in which it absorbs Q1 heat and gives out Q2 heat. The efficiency of the process in h and the work done is W. Then, which of the following statements are correct ?
(iv) η =
A closed vessel contains a mixture of two diatomic gases A and B. Molar mass of A is 16 times that of B and mass of gas A contained in the vessel is 2 times that of B. Which of the following statements are correct ?
(i) Average kinetic energy per molecule of A is equal to that of B
(ii) Root mean square value of translational velocityof B is four times that of A
(iii) Pressure exerted by B is eight times of that exerted by A
(iv) Number of molecules of B, in the cylinder, is eight times that of A
A ball of mass 10 kg is moving with a velocity of 10 m/s. It strikes another ball of mass 5 kg which is moving in the same direction with a velocity of 4 m/s. If the collision is elastic, their velocities after the collision will be respectively -
Three weights A, B & C are connected by string as shown in figure. The system moves over a frictionless pulley. The tension in the string connecting A & B is - (where g is acceleration due to gravity )
In which of the following cases forces may not be required to keep the -
One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to
rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is -
Two point masses of 0.3 kg & 0.7 kg are fixed at the ends of a rod of length 1.4 m and of negligible mass.The rod is set rotating about an axis perpendicular to its length with a uniform angular speed. The point on the rod through which the axis should pass in order that the work required for rotation of the rod is minimum is located at a distance of -
A car is moving along a straight horizontal rood with a speed v0. If the coefficient of friction between the tyres and the road is μ, the shortest distance in which the car can be stopped is -
A block of mass 5 kg is on a rough horizontal surface and is at rest. Now a force of 24 N is imparted to it with negligible impulse. If the coefficient of kinetic friction is 0.4 and g = 9.8 m/s2, then the acceleration of the block is -
A car is moving at a speed of 72 km/hr. The diameter of its wheels is 0.5 m. If the wheels are stopped in 20 rotations by applying brakes, then angular retardation produced by the brakes is -
If system is in limiting equilibrium (fL = 400 N)
(i) m = 30 kg
(ii) T = 500 N
(iii) m = 40 kg
Correct options are -
In an ac circuit the potential difference V and current I are given respectively by V = 100 sin (100 t) volt and I = . The power dissipated in the circuit will be -
A current I is flowing through the sides of an equilateral triangle of side a. The magnitude of the magnetic field at the centroid of the triangle is -
A 100 mH coil carries a current of 1 ampere. Energy stored in its magnetic field is -
There are 27 drops of a conducting fluid. Each has a radius r and they charged to a potential V0. These
are combined to form a bigger drop. Its potential will be -
If M (A, Z), Mp and Mn denote the masses of the nucleus A/Z, X, proton and neutron respectively in units of u (1u = 931.5 MeV / c2) and BE represents its bonding energy in MeV, then -