A transparent sphere of refractive index ' $\mu$ ' and radius of curvature ' $R$ ' is kept in air. A point object is placed at a distance ' d ' from the surface of the sphere so that the real image is formed at the same distance ' $d$ ' from exactly opposite side of the sphere. The distance ' $d$ ' is
The instantaneous value of current in an a.c. circuit is $I=2 \sin \left[100 \pi t+\frac{\pi}{3}\right]$ A. The current will be maximum for the first time at $\left(\sin 90^{\circ}=1\right)$
A fixed mass of gas at constant pressure occupies a volume ' $V$ '. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecule is doubled. The new volume will be
The Boolean expression for $\mathrm{X}-\mathrm{OR}$ gate $C=(A \oplus B)$ is equivalent to