The self-inductance of solenoid of length \(31.4 \mathrm{~cm}\), area of cross section \(10^{-3} \mathrm{~m}^2\) having total number of turns 500 will be nearly \(\left[\mu_0=4 \pi \times 10^{-7}\right.\) SI unit \(]\)

The light of wavelength ' \(\lambda\) ' is incident on the surface of metal of work function \(\phi\) and emits the electron, The maximum velocity of electron emitted is [ \(\mathrm{m}=\) mass of electron and \(\mathrm{h}=\) Planck's constant, \(c=\) velocity of light]

The acceleration due to gravity on the planet \(A\) is 9 times the acceleration due to gravity on planet \(B\). A man jumps to a height of \(2 \mathrm{~m}\) on the surface of \(A\). What is the height of jump by the same person on the planet \(B\) ?

According to Boyle's law, the product PV remains constant. The unit of PV is same as that of

A potentiometer wire of length 1 m is connected in series with \(495 \Omega\) resistance and 2 V battery. If \(0.2 \mathrm{mV} / \mathrm{cm}\) is the potential gradient, then the resistance of the potentiometer wire is

Moving coil galvanometers \(\mathrm{M}_{1}\) and \(\mathrm{M}_{2}\) have resistance, number of turns, area of coil and magnetic field as follows.
\(\mathrm{R}_{1}=10 \Omega, \mathrm{R}_{2}=14 \Omega, \mathrm{N}_{1}=30, \mathrm{~N}_{2}=42\)
\(\mathrm{A}_{1}=3 \cdot 6 \times 10^{-3} \mathrm{~m}^{2}, \mathrm{~A}_{2}=1 \cdot 8 \times 10^{-2} \mathrm{~m}^{2},\) \(\mathrm{~B}_{1}=0 \cdot 25 \mathrm{~T}, \mathrm{~B}_{2}=0 \cdot 50 \mathrm{~T}\)
(Spring constants are same for both materials)
The ratio of (i) current sensitivity and (ii) voltage sensitivity for galvanometer
\(\left(\mathrm{M}_{2}\right.\) to \(\left.\mathrm{M}_{1}\right)\) is respectively

The logic gate combination circuit shown in the figure performs the logic function of

Which from following alloys is used to make statues?

A transverse wave \(\mathrm{Y}=2 \sin (0.01 \mathrm{x}+30 \mathrm{t})\) moves on a stretched string from one end to another end in 0.5 second. If \(x\) and \(y\) are in \(\mathrm{cm}\) and \(\mathrm{t}\) in second, then the length of the string is

A circular current carrying coil has radius \(\mathrm{R}\). At what distance from the centre of the coil on the axis, the magnetic induction will become \(\frac{1}{8}\) th of its value at the centre of the coil?

A vector \(v\) is equally inclined to the \(x\) -axis, \(y\) -axis and \(z\) -axis respectively, its direction cosines are

If $y={\mathrm{t}\mathrm{a}\mathrm{n}}^{-}\left(\frac{1-\mathrm{c}\mathrm{o}\mathrm{s}3x}{\mathrm{s}\mathrm{i}\mathrm{n}3x}\right)$ then $\frac{dy}{dx}=\dots$

A black body at a temperature of \(227^{\circ} \mathrm{C}\) radiates heat energy at the rate \(5 \mathrm{cal} / \mathrm{cm}^{2}-\mathrm{s} .\) At a temperature of \(727^{\circ} \mathrm{C}\), the rate of heat radiated per unit area in \(\mathrm{cal} / \mathrm{cm}^{2}\) will be