List of top Physics Questions

The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is __________ N.
(take g=10 ms$^{-2}$)
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The maximum range of a gun on horizontal plane is 16 km. If g = 10ms^-2 , then muzzle velocity of a shell is

The trajectory of projectile is

For a projectile motion, the angle between the velocity and acceleration is minimum and acute at

The motion of a particle of mass $ m $ is described by $ y = ut + g t^2 $. The force acting on the particle will be

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked $A , B , C , D$ and $E$. The transitions $A, B$ and $C$ respectively represent :

Four identical particles of equal masses $1 kg$ made to move along the circumference of a circle of radius $1 m$ under the action of their own mutual gravitational attraction. The speed of each particle will be :

Match List -I with List -II

List - I		List -II
a	Isothermal	i	Pressure constant
b	Isobaric	ii	Temperature constant
c	Adiabatic	iii	Volume constant
d	Isobaric	iv	Heat content is constant

Choose the correct answer from the options given below

Each side of a box made of metal sheet in cubic shape is 'a' at room temperature 'T', the coefficient of linear expansion of the metal sheet is ' $\alpha^{\prime}$. The metal sheet is heated uniformly, by a small temperature $\Delta T ,$ so that its new temperature is $T +\Delta T$. Calculate the increase in the volume of the metal box.

A cube of side 'a' has point charges $+ Q$ located at each of its vertices except at the origin where the charge is $-Q$. The electric field at the centre of cube is:

Consider the potential $ U(r) $ defined as
\[ U(r) = -U_0 \frac{e^{-\alpha r}}{r} \] where $ \alpha $ and $ U_0 $ are real constants of appropriate dimensions. According to the first Born approximation, the elastic scattering amplitude calculated with $ U(r) $ for a (wave-vector) momentum transfer $ q $ and $ \alpha \to 0 $, is proportional to
(Useful integral: $ \int_0^\infty \sin(qr) e^{-\alpha r} \, dr = \frac{q}{\alpha^2 + q^2} $)

A system of two atoms can be in three quantum states having energies 0, $\epsilon$ and $2\epsilon$. The system is in equilibrium at temperature $ T = (k_B\beta)^{-1} $. Match the following Statistics with the Partition function.

Consider a single one-dimensional harmonic oscillator of angular frequency $ \omega $, in equilibrium at temperature $ T = \left( k_B \beta \right)^{-1 }$. The states of the harmonic oscillator are all non-degenerate having energy $ E_n = \left( n + \frac{1}{2} \right) \hbar \omega $ with equal probability, where $ n $ is the quantum number. The Helmholtz free energy of the oscillator is

Consider a particle in a one-dimensional infinite potential well with its walls at $ x = 0 $ and $ x = L $. The system is perturbed as shown in the figure. The first order correction to the energy eigenvalue is

The transition line, as shown in the figure, arises between $ 2D_{3/2} $ and $ 2P_{1/2} $ states without any external magnetic field. The number of lines that will appear in the presence of a weak magnetic field (in integer) is $\underline{\hspace{2cm}}$.

The normalized radial wave function of the second excited state of hydrogen atom is \[ R(r) = \frac{1}{\sqrt{24}} \left( \frac{a^{-3/2}}{r} \right) e^{-r/2a} \] \text{where $ a $ is the Bohr radius and $ r $ is the distance from the center of the atom. The distance at which the electron is most likely to be found is $ y \times a $. The value of $ y $ (in integer) is $\underline{\hspace{2cm}}$.}

Consider a system of three distinguishable particles, each having spin $ S = \frac{1}{2} $ such that $ S_z = \pm \frac{1}{2} $ with corresponding magnetic moments $ \mu_z = \pm \mu $. When the system is placed in an external magnetic field $ H $ pointing along the z-axis, the total energy of the system is $ \mu H $. Let $ x $ be the state where the first spin has $ S_z = \frac{1}{2} $. The probability of having the state $ x $ and the mean magnetic moment (in the +z direction) of the system in state $ x $ are

Consider a spin $ S = \hbar/2 $ particle in the state $ | \phi \rangle = \frac{1}{\sqrt{3}} | 2 \rangle + i | 2 \rangle $. The probability that a measurement finds the state with $ S_x = + \hbar/2 $ is

The spacing between two consecutive S-branch lines of the rotational Raman spectra of hydrogen gas is 243.2 cm$^{-1}$. After excitation with a laser of wavelength 514.5 nm, the Stoke's line appeared at 17611.4 cm$^{-1}$ for a particular energy level. The wavenumber (rounded off to the nearest integer), in cm$^{-1}$, at which Stoke's line will appear for the next higher energy level is $\underline{\hspace{2cm}}$.

For a finite system of Fermions where the density of states increases with energy, the chemical potential

If one cell is connected wrongly in a series combination of four cells each of e.m.f. 1.5 V and internal resistance of 0.5 Ω, then the equivalent internal resistance of the combination is

A carbon resistor is marked with the rings coloured blue, black, rcd and silver. lts rcsistance in ohm is