Zener breakdown occurs in a \(p-n\) junction having \(p\) and \(n\) both :

Two vectors \(\overrightarrow{ A }\) and \(\overrightarrow{ B }\) have equal magnitudes. If magnitude of \(\overrightarrow{ A }+\overrightarrow{ B }\) is equal to two times the magnitude of \(\overrightarrow{ A }-\overrightarrow{ B }\), then the angle between \(\overrightarrow{ A }\) and \(\overrightarrow{ B }\) will be .......................

The electric field in an electromagnetic wave is given as \(\vec{E}=20 \sin \omega\left(t-\frac{x}{c}\right) \vec{j} NC ^{-1}\) Where \(\omega\) and \(c\) are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of \(5 \times 10^{-4}\, m ^3\) will be \(.....\times 10^{-13}\,J\) (Given \(\varepsilon_0=8.85 \times 10^{-12}\,C ^2 / Nm ^2\) )

Match List\(-I\) with List\(-II\)

List \(-I\)	List \(-II\)
\((A)\) Moment of inertia of solid sphere of radius \((R)\) about any tangent	\((I)\)  \(\frac{5}{3} MR ^{2}\)
\((B)\) Moment of inertia of hollow sphere of radius \((R)\) about any tangent	\((II)\) \(\frac{7}{5} MR ^{2}\)
\((C)\) Moment of inertia of circular ring of radius \((R)\) about its diameter.	\((III)\) \(\frac{1}{4} MR ^{2}\)
\((D)\) Moment of inertia of circular disc of radius \((R)\) about any diameter.	\((IV)\) \(\frac{1}{2} MR ^{2}\)

Question: Choose the correct answer from the options given below

\(5\, beats/ second\) are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either \(0.95\,m\) or \(1\,m\) . The frequency of the fork will be ... \(Hz\)

The ratio for the speed of the electron in the \(3^{ rd }\) orbit of \(He ^{+}\)to the speed of the electron in the \(3^{\text {ad }}\) orbit of hydrogen atom will be

The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation

The balancing length for a cell is \(560 \;\mathrm{cm}\) in a potentiometer experiment. When an external resistance of \(10 \;\Omega\) is connected in parallel to the cell, the balancing length changes by \(60\; \mathrm{cm} .\) If the internal resistance of the cell is \(\frac{\mathrm{N}}{10} \;\Omega,\) where \(\mathrm{N}\) is an integer then value of \(\mathrm{N}\) is

In a semiconductor, the number density of intrinsic charge carriers at \(27^{\circ} {C}\) is \(1.5 \times 10^{16} \,/ {m}^{3}\). If the semiconductor is doped with impurity atom, the hole density increase to \(4.5 \times 10^{22}\, / {m}^{3}\). The electron density in the doped semiconductor is \(.....\,\times 10^{9} / {m}^{3}\)

For the circuit shown above, equivalent GATE is :