A moving coil galvanometer has 100 equal divisions. Its current sensitivity is 20 divisions per mA and voltage sensitivity is 4 divisions per mV. To convert it into a voltmeter in which each division reads 1 V, the resistance needed to be connected in series with the coil will be :

For a transistor, which of the following statement is true ?

Which of the following statements are correct ?
A. The saturation current is constant with collector plate potential for different frequencies of incident radiation.
B. The saturation current is different with collector plate potential for different frequencies of incident radiation.
C. The saturation current is different with collector plate potential for different intensity of incident radiation.
D. The saturation current is constant with collector plate potential for different intensity of incident radiation.
E. Below threshold frequency no photo electrons are emitted.
Choose the correct answer from the options given below :

An unchanged capacitor is connected to a battery. How much amount of energy supplied by the battery is lost as heat while charging the capacitor ?

The internal resistance of a cell of emf 2 V is 0.1 \( \Omega \). It is connected to an external resistance of 3.9 \( \Omega \). The terminal potential difference across the cell will be

A beam of electrons move horizontally from South to North in the region of the magnetic field acting vertically downward. The force acting on the electron due to the magnetic field is :

If the electric field is given by \((6\hat{i} + 3\hat{j} + 4\hat{k}) \text{ V/m}\). The electric flux through a surface of area \(20 \text{ m}^2\) lying in Y-Z plane would be (in V-m).

The rate of change of current which produces an induced emf of 100 V in an inductor of inductance 10 H is

A cell supplies a current of 0.6 A through a 3 \( \Omega \) resistor and a current of 0.2 A through a 10 \( \Omega \) resistor. The internal resistance of the cell is :

The value of the constant \(\lambda\), so that the function given below is continuous at \(x=-1\) is :
\(f(x)=\left\{\begin{array}{ll}\frac{x^2-2 x-3}{x+1}, & x \neq-1 \\\lambda, & x=-1\end{array}\right.\)

The value(s) of K, for which the system of linear equations 2x + y + x = 1, x + Ky - x = \(\frac{3}{2}\) and 3y - 5x = 9 does not possess a unique solution is

Match the ions given in List - I with number of unpaired electrons given in List - II

List - I (Ion)	List-II (Number of unpaired electrons)
(A) \(V ^{ 2 + }\)	(I) 1
(B) \(Cr ^{2+}\)	(II) 4
(C) \(Ti ^{2+}\)	(III) 3
(D) \(Cu ^{2+}\)	(IV) 2

Choose the correct answer from the options given below:

If \(\theta\) is an acute angle and the vector \(\vec{a}=(\sin \theta) \hat{i}+(\cos \theta) \hat{j}\) is perpendicular to the vector \(\vec{b}=\hat{i}-\sqrt{3} \hat{j}\) then \(\theta\) is equal to: