A double-slit apparatus is immersed in a liquid of refractive index \(\mu=\frac{4}{3}\). It has slit separation of \(10^{-3} m\) and distance between the plane of slits and screen is 133 cm . The slits are illuminated by a parallel beam of light of wavelength 630 nm in air. What is the fringe width?

A proton and a deuteron execute circular orbits having same radii of 0.5 m in a plane perpendicular to a uniform magnetic field B. If the kinetic energy of the deuteron is 50 keV, the K.E. of the proton will be

You are sitting in a parked car and you notice a boy running towards the car in the side view mirror of the car. If the boy is running at a constant speed towards you, which option according to you is correct

Three identical resistors are connected first in series to an electrical voltage V. Let I be the total current flowing in the circuit. These resistors are disconnected and again connected in parallel with the same source. Which of the following statements are true?
(A) The potential difference across each resistor is V/3 in series connection
(B) The potential difference across all three resistors in parallel connection is 3V
(C) The current flowing in each resistor in series connection is the same as I
(D) The current flowing through each resistor in parallel combination is equal to 31
Choose the correct answer from the options given below:

The loss of strength of a signal while propagating through a medium is called-

The electromagnetic radiation used to kill germs in water purifiers is

A proton is moving in a circular path of radius R in a uniform magnetic field B. It carries a kinetic energy of 2 MeV. What should be the energy of an \(\alpha\)-particle to move in a circle of same radius in the same field ?

The force between two electric charges is expressed by the equation : \( F = \frac{kq_1q_2}{r^2} \).
Which of the following is a correct statement ?

The greater range of oxidation states in actinoids is partly attributed to the fact that the following set of levels have comparable energies.

Among the following compounds, which will not undergo oxidation reaction?

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 List - I with List - II.

List I	List ll
(A) Haemophilia	(I) Increase in a whole set of chromosomes in an organism
(B) Turner's Syndrome	(II) Autosome linked recessive trait
(C) Polyploidy	(III) Absence of one of the 'X' chromosome
(D) Sickle cell anaemia	(IV) Sex linked recessive disease

Choose the correct answer from the options given below:

The area included between \(y^2=4 x, y=x+1\) and x-axis is :