Two bar magnets oscillate in a horizontal plane in earth’s magnetic field with time periods of 3 s and 4 s respectively. If their moments of inertia are in the ratio of 3 : 2, then the ratio of their magnetic moments will be :
A logic gate circuit has two inputs A and B and output Y. The voltage waveforms of A, B and Y are shown below.
The logic gate circuit is :
In a meter bridge experiment, for measuring unknown resistance ‘S’, the null point is obtained at a distance 30 cm from the left side as shown at point D. If R is 5.6 kΩ, then the value of unknown resistance ‘S’ will be ___Ω.
To light, a W, 100 V lamp is connected, in series with a capacitor of capacitance \(\frac{50}{π\sqrt{x}}\mu F\) with \(200 V\), 50 Hz AC source.The value of x will be ___.
Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as\(v_2=\frac{n}{m^2}v_1\) and \(a_2=\frac{a_1}{mn}\)respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :
A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The work done by the gas during the part CA is: