A moving coil galvanometer has a resistance of 40 \( \Omega \). It gives a full scale deflection with a current of 2 mA. How is to be modified to convert it to a voltmeter of 5 V range?

In the nuclear decay given below, the particles emitted in the sequence are:

In a silicon intrinsic semiconductor, the forbidden energy gap between the valence band and the conduction band is approximately equal to

Which of the following statements are correct for a transistor action ?
(A) The input resistance depends upon the current \( I_e \) in the transistor
(B) Collector currents is equal to the sum of base current and emitter current
(C) The emitter junction is forward biased
(D) The collector junction is reverse biased
(E) Both the emitter junction as well as the collector junction are forward biased
Choose the correct answer from the options given below :

Figure shows a coil C connected to a galvanometer G. When the North-pole of a bar magnet is pushed towards the coil, the pointer in the galvanometer deflects. Regarding this set up, the following statements are given:
(A) It indicates the presence of electric current in the coil.
(B) The deflection is found to be smaller when the magnet is pushed towards the coil faster.
(C) There is repulsion in the moving magnet and the magnetic pole induced in the coil facing towards the N pole of the magnet.
(D) If the bar magnet does not move, there is no induced current in the coil.
Choose the correct answer from the options given below:

A proton has double the kinetic energy of an \( \alpha \)- particle. The ratio of the de-Broglie wavelength of the proton to that of \( \alpha \)- particle will be

The armature coil of a generator has 20 turns and its area is \( 0.127 \, \text{m}^2 \). How fast approximately should it be rotated in a magnetic field of \( 0.2 \, \text{Wb m}^{-2} \) so that the peak value of induced emf is 160 V?

Which of the following matrices is symmetric as well as skew-symmetric?

The value of \(\tan ^{-1} \frac{2}{11}+\tan ^{-1} \frac{7}{24}\) is :

Let \(P=\left[a_{i j}\right]\) be a \(3 \times 3\) matrix and let \(Q=\left[b_{i j}\right]\) be a \(3 \times 3\) matrix,
where \(b_{i j}=2^{i+j} a_{i j}\) for \(1 \leq i, j \leq 3\).
If the determinant of \(P\) is 2 , then the determinant of the matrix \(Q\) is ___________ .

The two closely linked genes HBA1 and HBA2 are associated with

Identify the statements true for RNA.
(A) RNA acts as a genetic material for some viruses.
(B) RNA also functions as an adapter molecule.
(C) RNA has hexose sugar as its backbone.
(D) RNA also acts as catalyst in some cases.
Choose the correct answer from the options given below :

The electric field of a plane electromagnetic wave in a medium is given by
\( E = 100 \sin(300z - 6 \times 10^{10}t) \text{ V/m} \).
The velocity of the electromagnetic wave in this medium will be: