The zener diode has a \(V _{ z }=30\, V\). The current passing through the diode for the following circuit is \(\ldots \ldots \ldots \,mA.\)

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of \(10 \,m\) in \(t \;s ,\) the distance travelled by the toy in the next \(t s\) will be .........\(m\)

A plane electromagnetic wave is propagating along the direction \(\frac{\hat{i}+\hat{j}}{\sqrt{2}},\) with its polarization along the direction \(\hat{\mathrm{k}}\). The correct form of the magnetic field of the wave would be (here \(\mathrm{B}_{0}\) is an appropriate constant)

The electric current through a wire varies with time as \(I=I_0+\beta t\). where \(I_0=20 \mathrm{~A}\) and \(\beta=3 \mathrm{~A} / \mathrm{s}\). The amount of electric charge crossed through a section of the wire in \(20 \mathrm{~s}\) is :

The difference of speed of light in the two media \(A\) and \(B\,\left(v_{A}-v_{B}\right)\) is \(2.6 \times 10^{7}\,m / s\). If the refractive index of medium \(B\) is \(1.47\), then the ratio of refractive index of medium \(B\) to medium \(A\) is: (Given : speed of light in vacuum \(\left.c =3 \times 10^{8}\, ms ^{-1}\right)\)

If the total energy transferred to a surface in time \(t\) is \(6.48 \times 10^5 \mathrm{~J}\), then the magnitude of the total momentum delivered to this surface for complete absorption will be _______.

If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of earth will be _______ hours \(30\) minutes.

Given below are two statements: one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\) Assertion \(A\): The phase difference of two light waves change if they travel through different media having same thickness, but different indices of refraction. Reason \(R:\) The wavelengths of waves are different in different media. In the light of the above statements, choose the most appropriate answer from the options given below

A particle is moving in a circle of radius \(r\) under the action of a force \(F\, = \alpha r^2\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(= 0\) for \(r\, = 0\))

The maximum intensity in a Young's double slit experiment is \(I_0\). Distance between the slits (\(d\)) is \(5\lambda\), where \(\lambda\) is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at \(D = 10d\) is _______.

In a meter bridge, as shown in the figure, it is given that resistance \(Y=12.5\, \Omega \) and that the balance is obtained at a distance \(39.5\, cm\) from end \(A\) (by jockey \(J\)) . After interchanging the resistances \(X\) and \(Y\), a new balance point is found at a distance \(l_2\) from end \(A\). What are the values of \(X\)and \(l_2\) ?