A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m. The wire Y carries a current of 3 A. The distance between two wires is 5 cm and currents flow in the same direction. The force acting on the wire Y is

A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m

The refracting angle of prism is A and refractive index of material of prism is $\cot \frac{A}{2}$ The angle of minimum deviation is

Water falls from a 40 m high dam at the rate of $9 \times 10^4$ kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydroelectric energy number of 100 W lamps, that can be lit, is: (Take g=10ms^-2)

When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on:

A vertical electric field of magnitude $ 4.9 \times 10^5 \, {N/C} $ just prevents a water droplet of a mass $ 0.1 \, {g} $ from falling. The value of charge on the droplet will be: (Given $ g = 9.8 \, {m/s}^2 $)

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

The self-induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10A to 25 A in 1s, the change in the energy of the inductance is:

The magnetic field of a plane electromagnetic wave is given by: \[ \vec{B} = 2 \times 10^{-8} \sin \left(0.5 \times 10^3 x + 1.5 \times 10^{11} t \right) \hat{j} \, {T}. \] {The amplitude of the electric field would be:}

The root mean square speed of smoke particles of mass $ 5 \times 10^{-17} $ kg in their Brownian motion in air at NTP is approximately. (Given $ k = 1.38 \times 10^{-23} \, {JK}^{-1} $)

If a charge $ q $ is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a

Alternating current cannot be measured by a D.C. ammeter because

An ideal gas is expanding such that $ P T^3 = {constant} $. The coefficient of volume expansion of the gas is:

The de Broglie wavelength of a proton and $ \alpha $-particle are equal. The ratio of their velocities is:

If $ E $ and $ H $ represent the intensity of electric field and magnetizing field respectively, then the unit of $ \frac{E}{H} $ will be:

If two soap bubbles of different radii are connected by a tube:

In the circuit shown in the figure, the total charge is $ 750 \, \mu C $ and the voltage across capacitor $ C_2 $ is $ 20 \, {V} $. Then the charge on capacitor $ C_2 $ is: