Two slits 0.1 mm apart with screen 2 m away produce fringe separation with 500 nm light. The separation is :

Identify the incorrect statements from the following.
(A) A charged particle of charge e is moving through a magnetic field, work will be done by the magnetic field on the charge.
(B) A conductor with free electrons is placed in a magnetic field. No current is flowing through the conductor. No magnetic force acts on the conductor.
(C) A charged particle is moving perpendicular to the magnetic field. The magnetic force does not change the speed of the particle but changes its direction.
(D) A charged particle is moving in a straight direction without any change of direction. It shows that no magnetic field is there.
Choose the correct answer from the options given below:

In a series LCR circuit an ac voltage source is connected. When inductor is removed from the circuit, the phase difference between the voltage and the current in the circuit is \( \frac{\pi}{3} \). If capacitor is removed from the circuit instead of inductor, the phase difference is again \( \frac{\pi}{3} \). What is the power factor of the circuit?

After 4 hours, \( \frac{1}{16} \) of the initial amount of a certain radioactive isotope remains undecayed. What is the half life of the isotope?

Calculate the Ratio of Range of Transmitting antenna of height 64 m to the receiving antenna of height 16 m :

The elements which may be considered for an ideal inductor as a solenoid,
(A) which is made of a thick wire
(B) which has negligible resistance
(C) which has a sufficiently large inductance
(D) which is made of a thin wire
Choose the correct answer from the options given below:

What is the particle X in the fusion reaction shown below ?
\({ }_1^2 H +{ }_1^2 H \rightarrow{ }_2^3 He + X +3.27 MeV\)

Match List-I with List-II

List-I (Terms)	List-II (Applications)
(A) RNA interference	(I) ADA deficiency
(B) Genetically engineered insulin	(II) \(\alpha\)-1-antitrypsin
(C) Gene therapy	(III) Meloidegyne incognitia
(D) Biological product	(IV) Eli Lilly

Choose the correct answer from the options given below:

Which will form the most stable complex ?

In Young's double slit experiment using monochromatic light of wavelength \(\lambda\) the intensity of light at a point on the screen is 20 units, where the path difference is \(\lambda\). The intensity of light at a point having the path difference \(\lambda / 4\) is

Given differential equation,
\(\left(1+y^2\right) d x=\left(\tan ^{-1} y-x\right) d y\)
then which of the following is/are true?
(A) Integrating factor \(=\tan ^{-1} x\)
(B) Integrating factor \(=\tan ^{-1} y\)
(C) Integrating factor \(=e^{\tan ^{-1} y}\)
(D) Degree \(=1\)
Choose the correct answer from the options given below :

A circular loop of 20 turns carries a current of 5.0 A. If the magnetic field at the centre of the loop is 1.57 mT, the radius of the loop would be :

Experimentally determined molar mass is always lower than the true value in case of: