If power dissipated in the 9 Ω resistor in the circuit shown is 36 W, the potential difference across the 2 Ω resistor is
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Two white dots are 1 mm apart on a black paper. They are viewed by the pupil of the eye of diameter 3 mm3 mm. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [Take wavelength of light = 500 nm]
The threshold energy for a metallic surface corresponds to an energy of 6.2 eV and the stopping potential for a radiation incident on this surface 5 V. The incident radiation lies in
A car moves at 80 km h-1 in the first half of total time of motion and at 40 km h−1 in the later half. Its average speed is
In a p-n-p transistor biased in the active region, in the base, holes
A flask of mercury is sealed off at 20 °C and is completely filled with mercury. If the bulk modulus for mercury is 25000 MPa and the coefficient of volume expansion of mercury is 1.82 × 10−4 °C−1 and the expansion of glass is ignored, the pressure of mercury within the flask at 100 °C will be
A common emitter amplifier has a voltage gain of 50, an input impedance of 100 Ω and an output impedance of 200 Ω. The power gain of the amplifier is
A long metallic bar is carrying heat from one of its ends to the other end under steady-state. The variation of temperature θ along the length x of the bar from its hot end is best described by which of the following figure?
A body of mass m is resting on a wedge of angle θ as shown in figure. The wedge is given an acceleration a. What is the value of a such that the mass m just falls freely?
The magnetic dipole moment of a current loop is independent of
Two springs of spring constants 1500 N m-1 and 3000 N m-1 respectively are stretched with the same force. They will have potential energy into ratio
A current of 10 A in the primary coil of a circuit is reduced to zero. If the coefficient of mutual inductance is 3 H and emf induced in the secondary coil is 30 kV, time taken for the change of current is
A thief stole a box full of valuable articles of weight w and while carrying it on his head jumped down from a wall of height h from the ground. Before he reaches the ground, he experienced a load
A body floats in a liquid contained in a beaker. If the whole system falls under gravity, then the upthrust on the body due to liquid is
The 9th division of vernier scale coincides with 6th division of main scale in a vernier calliper. If one main scale division is 0.01 mm, then the least count of instrument is
In covering a certain distance, the time decreases by 20%, if speed (uniform) increases by 20 m/s. Find the original speed.
The relation between acceleration and velocity for a body moving in straight line is a ∝ v3. Choose correct option, (x is position and t is time)
A particle moves in x-y plane according to the law The equation of trajectory is
A block of mass m is constrained to move inside a ring of radius R which is fixed on a horizontal smooth table. At time t = 0, block is moving along the inside of the ring (i.e., in the tangential direction) with velocity v0. The coefficient of friction between the block and the ring is μ. Then the speed of the block at time t is
A body of radius R and radius of gyration K (about axis of rotation) is rolling without slipping. The fraction of its kinetic energy is in form of rotational kinetic energy is
If linear density of a rod of length 4 m varies as λ = 4 + x, then the position of the centre of gravity of the rod is
A and B are two loops made from same wire. The radii of A and B are r1, and r2 and their moment of inertia about same axes are I1 and l2.
If I1/I2 = 1/4 then the value of r2/r1 is
A wheel having moment of inertia 3 kg-m2 about its vertical axis, rotates at the rate of 30 rpm about this axis. The torque which can stop the wheel’s rotation in one minute would be
The velocity of four gas molecules are given by 1 km/s, 2 km/s, 6 km/s and 8 km/s respectively. The rms velocity is
The ratio of the density and pressure of a fixed mass of an ideal gas is “5” at 10°C. Then this ratio at 110°C is
A particle of mass 0.2 kg executes SHM under a force of F = - 20x N. If speed of particle at mean position is 12 m/s then the amplitude of oscillations is
If two SHMs are represented by equations
then the ratio of their amplitudes is
Moment of inertia of a ring about its diameteric axis is I. Two such rings are welded as shown in figure. The new moment of inertia about XX’ axis is
A string is hanging from a rigid support. A transverse pulse is excited at its free end. The speed at which the pulse travels a distance x is proportional to
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1 videos|26 docs|111 tests
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