The speed of an electromagnetic wave in a medium of dielectric constant 2.25 and relative permeability 4 is:

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

A 10 V battery of negligible internal resistance is connected with a 200 V battery and a set of parallel resistances as shown in the figure. The value of current in the circuit.

Many features of the nuclear binding force are summarised below : Choose the correct statement.
(A) Coulomb force acting between two protons inside the nucleus is much weaker than Nuclear force between them
(B) Between proton-proton inside nucleus gravitational force is stronger than nuclear force
(C) Nuclear force between two nucleons falls rapidly to zero as their distance is more than a few femtometer
(D) Nuclear forces between proton-proton, neutron - proton and neutron-neutron is approximately same when distance between them is same.
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Read the following statements regarding energy levels, and identify the correct statements.
(A) The energy of an atom is least when its electron is revolving in an orbit closest to the nucleus
(B) the energy levels of the excited states come closer and closer together as principal quantum number increases
(C) ionisation energy of the hydrogen atom is the minimum energy required to free the electron from the ground state of the hydrogen atom
(D) as the excitation of hydrogen atom increases, the value of minimum energy required to free the electron from the excited atom decreases.
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A proton of charge \(1.6 \times 10^{-19} C\) is moving with a velocity of \(5 \times 10^3 m / s\) in a magnetic field of 4 T. The work done by the magnetic field on the proton is :

Two slits are kept 1 mm apart and the screen is placed 1.0 m away. What is the fringe separation when blue-green light of wavelength 500 nm is used ?

Arrange the following compounds towards increasing \(S_{N}2\) reaction?
(A) n-Butyl bromide
(B) Isobutyl bromide
(C) Tertiary butyl bromide
(D) Sec-Butyl bromide
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The annual depreciation of an asset is independent of:-

If \(\left|\begin{array}{ll}2 & 4 \\ 5 & 1\end{array}\right|=\left|\begin{array}{cc}2 x & 4 \\ 6 & x\end{array}\right|\), then \(x\) is equal to:

Which one of the following is not true for a molecule that can act as a genetic material?

The integral \(\int_0^1 x(1-x)^n d x\) is equal to :

"Match List-I with List-II.

List-I	List-II
(Complexes)	(Hybridisation)
(A) \([\text{Ni(CO)}_4\text{]}\)	I. \(\text{sp}^3\)
(B) \([\text{Ni(CN)}_4\text{]}^{2-}\)	II. \(\text{dsp}^2\)
(C) \([\text{Fe(CN)}_6\text{]}^{4-}\)	III. \(\text{d}^2\text{sp}^3\)
(D) \([\text{MnF}_6\text{]}^{4-}\)	IV. \(\text{sp}^3\text{d}^2\)

Choose the correct answer from the options given below:"