n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is
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The first line of Balmer series has wavelength 6563 Å. What will be the wavelength of the first member of Lyman series
A galvanometer of 10 ohm resistance give full scale deflection with 0.01 ampere of current. It is to be converted into an ammeter for measuring 10 ampere current. The value of shunt resistance required will be
The electrical conductivity of the earth's atmosphere increases with altitude due to
A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is
A body takes 1 1/3 times as much time to slide down a rough inclined plane as it takes to slide down an identical but smooth inclined plane. If the angle of inclination of the inclined plane is 45o, the coefficient of friction is
If a liquid is heated in weightlessness, the heat is transmitted through
A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The strength of magnetic field far away is
Which of the following instruments is used to measure magnetic field ?
A square plate of 0.1 m side moves parallel to another plate with a velocity of 0.1 m-s⁻1, both plates being immersed in viscous liquid. If the viscous force is 0.02 N and the coefficient of viscosity is 1 poise, then distance between the plates is
Raindrops are falling from a certain height. Assume all raindrops are spherical and have same drag coefficient. The impact speed of large raindrops compared to that of small raindrops is
A uniform plank of Young's modulus Y, is moved over a smooth horizontal surface by a constant horizontal force F. The area of cross-section of plank is A. The compressive strain on the plank in the direction of the force is
A ball is dropped downwards. After 1 second another ball is dropped downwards from the same point. What is the distance between them after 3 seconds
Two quantities A and B have different dimensions. Which of the following operation is correct?
A bullet is fired from a gun with a velocity of 1000 m−s⁻1 in order to hit a target 100 m away. At what height above the target should the gun be aimed? (Resistance of air is negligible and g = 10 m−s⁻2)
If the tension in the cable of 1000 kg elevator is 1000 kg weight, the elevator
If a simple pendulum oscillates with an amplitude 50 mm and time period of 2 s, then its maximum velocity, is
A train is moving with a constant velocity.If a pendulum is hanging from its roof, then its time period will
If a solid spherical ball is rolling on a horizontal table, the ratio of its rotational kinetic energy to the total energy is
Three rods each of length L and mass M are placed along X, Y and Z axes in such a way that one end of each of the rod is at the origin. The moment of inertia of this system about Z axis is
A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolutions/sec about a vertical axis through the centre of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The combined moment of inertia of the systam is 1 kg*metre2. The boy now stretches his arms so as to hold the masses far from his body. In this situation the moment of inertia of the system increases to 2 kg*metre2. The kinetic energy of the system in the latter case as compared with that in the previous case will