The capacitance of a parallel plate capacitor is \(400 \mathrm{~pF}\). It is connected to an ac source of \(100 \mathrm{~V}\) having an angular frequency \(100 \mathrm{~rad~s}^{-1}\). If the rms value of the current is \(4 \mu \mathrm{A}\), the displacement current is:

The value of alternating emf \(E\) in the given circuit will be

Joule second is the unit of

A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remains same, the stress in the leg will change by a factor of

\(\mathrm{H-}\)polaroid is prepared by

If a clear liquid has a refractive index of 1.45 and a transparent solid has a refractive index of 2.9, then for total internal reflection to occur at the interface between the two media; which of the following is correct?

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of \(2 \times 10^{10} \mathrm{~Hz}\) and amplitude \(48 \mathrm{~V} / \mathrm{m}\). The wavelength of the wave is

A concave mirror forms an enlarged, erect, virtual image of an object, only when the object is placed

The following results were obtained during study of the reaction \(2 \mathrm{NO}(\mathrm{g})+\mathrm{Cl}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NOCl}(\mathrm{g})\). Determine the value of \([\mathrm{X}]\) in \(\mathrm{mol} / \mathrm{L}\)
\(\begin{array}{|c|c|c|c|} \hline \text{Experiment} & \text{[NO] mol/L} & \left[\mathrm{Cl}_2\right] \text{ mol/L} & \text{Initial rate of formation. [NOCl] mol/L/min} \\ \hline \text{I} & 0.2 & 0.2 & 6.0 \times 10^{-3} \\ \hline \text{II} & 0.2 & 0.4 & 2.4 \times 10^{-2} \\ \hline \text{III} & 0.4 & 0.2 & 1.2 \times 10^{-2} \\ \hline \text{IV} & X & 0.6 & 1.35 \times 10^{-1} \\ \hline \end{array}\)

Two capacitors \(C_{1}\) and \(C_{2}\) are charged to \(120 \mathrm{~V}\) and \(200 \mathrm{~V}\), respectively. When they are connected in parallel, it is found that potential on each one of them is zero. Therefore,

If \(a=\cos 2 \alpha+i \sin 2 \alpha, b=\cos 2 \beta+i \sin 2 \beta\), then \(\sqrt{\frac{a}{b}}+\sqrt{\frac{b}{a}}=\)

A string of length \(25 \mathrm{~cm}\) and mass \(10^{-3} \mathrm{~kg}\) is clamped at its ends. The tension in the string is \(2.5 \mathrm{~N}\). The identical wave pulses are generated at one end and at regular interval of time, \(\Delta \mathrm{t}\). The minimum value of \(\Delta \mathrm{t}\), so that a constructive interference takes place between successive pulses is

Identify the catalyst used in the reaction between Iodide and persulphate ions.
\(2 \mathrm{I}^{-}+\mathrm{S}_2 \mathrm{O}_8{ }^{2-} \rightarrow \mathrm{I}_2+2 \mathrm{SO}_4{ }^{2-}\)