Class 12th

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\frac{4}{3}$ $\frac{}{}$ for this wavelength, will be

In a building there are 15 bulbs of $45\mathrm{W},15$ bulbs of $100\mathrm{W},15$ small fans of $10\mathrm{W}$ and 2 heaters of $1\mathrm{k}\mathrm{W}$ . The voltage of electric main is $220\mathrm{V}$ . The minimum fuse capacity (rated value) of the building will be

A particle of mass $m$ and charge $q$ has an initial velocity $\vec{v}=v_0\hat{j}$ . If an electric field $\vec{E}=E_0\hat{i}$ and magnetic field $\vec{E}=E_0\hat{i}$  act on the particle, its speed will double after a time:

A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelength of light used is ‘x’ nm. The value of ‘x’ to the nearest integer is----------.

The first three spectral of H-atom in the Balmer series are given λ₁ , λ₂ , λ₃ considering the Bohr atomic model, the wave lengths of first and third spectral lines (λ₁/ λ₂)  are related by a factor of approximately 'x' *10^-1. The value of x, to the nearest integer, is-----------.

An emf of  $20\mathrm{V}$ is applied at time $\mathrm{t}=0$ to a circuit containing in series $10\mathrm{m}\mathrm{H}$ inductor and $5\mathrm{\Omega }$ resistor. The ratio of the currents at time $t=\mathrm{\infty }$ and at $t=40\mathrm{s}$ is close to: (take $\left.{\mathrm{e}}^2=7.389\right)$

A sinusoidal voltage of peak value 250V is applied to a series LCR circuit, in which R = 8Ω, L = 24mH andC = 60μF. The value of power dissipated at resonant condition is ‘x’ kW. The value of x to the nearest integer is-----------.

In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, then output at Y would be ‘x’.

The value of x is ----------.

In the figure given, the electric current flowing through the 5 k Ω resistor is ‘x’ mA. The value of x to the nearest integer is --------.

The value of power dissipated across the Zener diode ( Vz = 15V) connected in the circuit as shown in the figure is x x10-1 watt. The value of x, to the nearest integer, is--------.