The displacement current through the plates of a parallel plate capacitor of capacitance \(30 \mu \mathrm{F}\) is \(150 \mu \mathrm{A}\). The capacitor is charged by a source of varying potential at the rate of

A particle is moving in a circle of radius \(5 \mathrm{~cm}\) with uniform speed and completes the circle in \(5 \mathrm{~s}\). What is the magnitude of linear acceleration?

The displacement-time graphs of two moving particles make angles of \(30^{\circ}\) and \(45^{\circ}\) with the time axis. The ratio of their velocities is

Normally a capacitor is connected across the output terminals of a rectifier to

Two rods whose lengths are $l_1$ and $l_2$ with heat conductivity co-efficients $k_1$ and $k_2$ are placed end to end. The heat conductivity coefficient of a uniform rod of length $l_1+l_2$ whose conductivity is same as that of the system of these two rods is

A beam of light propagating at an angle \(\alpha_1\) from a medium 1 through to another medium 2 at an angle \(\alpha_2\). If the wavelength of light in medium 1 is \(\lambda_1\), then the wavelength of light in medium \(2,\left(\lambda_2\right)\), is

5 logic gates are connected as shown in the figure. If \(\mathrm{A}\) and \(\mathrm{B}\) are the inputs, \(\mathrm{Y}\) is the output then the truth table of the circuit is

Statement (I) : The slope of kinetic energy-displacement curve of a body in motion will be directly proportional to its acceleration. Statement (II) : From a height of \(15 \mathrm{~m}\) a ball is projected vertically upwards with a velocity of \(30 \mathrm{~m} / \mathrm{s}\). If the ball rises to the same height after hitting the ground, the loss of its energy on hitting the ground is \(30 \%\). Statement (III) : The velocity acquired by a body of mass ' \(m\) ' after travelling a fixed distance from rest under the action of a constant force is directly proportional to mass ' \(\mathrm{m}\) '. Which of the following is correct?

Photons of energy \(2.4 \mathrm{eV}\) and wavelength \(\lambda\) fall on a metal plate and release photoelectrons with a maximum velocity \(v\). By decreasing \(\lambda\) by \(50 \%\), the maximum velocity of photoelectrons becomes \(3 v\). The work function of the material of the metal plate is

The ratio of specific heats of a gas is \(\gamma\). The change in internal energy of one mole of the gas, when the volume changes from \(V\) to \(2 V\) at constant pressure \(p\) is

A convex lens of focal length 25 cm and made of glass with refractive index 1.5 is immersed in water. The absolute change in focal length of the glass is [Use refractive index of water = \(\frac{4}{3}\) ]

A small square loop of wire of side \(l\) is placed inside a large square loop of side \(L(L>>l)\). If the loops are coplanar and their centres coincide, the mutual induction of the system is directly proportional to :

An observer moves towards a stationary source of sound, with a speed of one-fifth of the speed of sound. The apparent increase in the frequency heard by the observer is