Explore topic-wise InterviewSolutions in .

What is the average velocity of the coin?

The minimum possible energy loss for an electron transition from ground state to next excited state in hydrogen atom is

The rms velocity of gas molecules of a given amount of a gas at ${27}^{\circ }\text{C}$ and $1.0\times {10}^5{\text{N m}}^{-2}$ pressure is $200{\text{m sec}}^{-1}$. If temperature and pressure are respectively ${127}^{\circ }\text{C}$ and $0.5\times {10}^5{\text{N m}}^{-2}$, the rms velocity will be:

The electrostatic energy of $Z$ protons uniformly distributed throughout a spherical nucleus of radius $R$ is given by

$E=\frac{3}{5}\frac{Z(Z-1)e^2}{4\pi {\epsilon }_{0}R}$

The measured masses of the neutron, ${}_1^{1}H,{}_7^{15}N$ and ${}_8^{15}O$ are $1.008665u,1.007825u,15.000109u$ and $15.003065u$ respectively. Given that the radii of both the ${}_7^{15}N$ and ${}_8^{15}O$ nuclei are same, $1u=931.5MeV/c^2$ ($c$ is the speed of light) and $e^2/\left(4\pi {\epsilon }_0\right)=1.44MeVfm$. Assuming that the difference between the binding energies of ${}_7^{15}N$ and ${}_8^{15}O$ is purely due to the electrostatic energy, the radius of either of the nuclei is $(1fm={10}^{-15}m)$

A plane monochromatic light wave falls normally on a diaphragm with two narrow slits separated by $2.5\text{mm}$. The fringe pattern is formed on a screen $100\text{cm}$ behind the diaphragm. By what distance will these fringes be displaced, when one of the slits is covered by a glass plate $(\mu =1.5)$ of thickness $10\mu \text{m}$?

Two bodies have their moments of inertia $I$ and $2I$ respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio:

A particle moves, along a straight line OX. At a time $t$ (in second), the position $x$ (in metre) of the particle from $O$ is given by $x=40+12t-t^3$. How much distance particle covers before coming to rest?

A metal plate is exposed to light with wavelength $\lambda$. It is observed that electrons are ejected from the surface of the plate. When a retarding uniform electric field $E$ is applied, no electron can move away from the plate farther than a certain distance $d$. Then the threshold wavelength ${\lambda }_0$ for the material of plate is ($e$ is the electronic charge, $h$ is the Plank’s constant and $c$ is the speed of light.)

How to memorize the colour order of colour coded resistor??

The de-Broglie wavelength of a particle with mass 1 gmand velocity 100m/sec is

Consider the circuit shown in the figure below:



The op-amp is having an open loop finite gain $A_0$. Rest of the parameters of op-amp are ideal. Then value of pole for the above circuit is located at

The critical angle of light going from medium A to medium B is θ, The speed of light in medium A is v. The speed of light in medium B is

A ball is moving with a velocity of $8\text{m/s}$ towards a surface which is also moving in a downward direction with velocity of $2\text{m/s}$ as shown in figure. After collision with the surface, ball rebounds back. If the coefficient of restitution is $e=0.5$, find the rebound velocity of the ball. (Given:Velocity of surface will be same even after collision and all other external forces are absent.)

Let $\left[{\in }_0\right]$ denote the dimensional formula of the permittivity of the vacuum and $\left[{\mu }_0\right]$ that of the permeability of the vacuum. If $M=$ mass, $L=$ length, $T=$ time and $I=$ electric current, then:
Given $F=\frac{1}{4\pi {\in }_0}.\frac{q_1{q}_2}{r^2}$, where $q_1$ and $q_2$ are charges and r is the distance. Also,
$c=\frac{1}{\sqrt{{\in }_0{\mu }_0}}$, where $c$ is speed.

A small block slides down on a smooth inclined plane, starting from rest at time $t=0.$ Let $S_n$ be the distance travelled by the block in the interval, $t=n-1$ to $t=n$, then, the ratio $\frac{S_n}{S_{n+1}}$ is

The bearings of a shaft at A and B are 5 meters apart. The shaft carries three eccentric masses C, D and E which are 160 kg, 170 kg and 85 kg respectively. The respective eccentricity of each mass measured from the axis of rotation, is 0.5 cm, 0.3 cm and 0.6 cm and the distance from A is 1.3m, 3m and 4m respectively.



The angular position of mass 'D' with respect to C so that no dynamic force is exerted at B

A charged particle is projected in a magnetic field $\overrightarrow{B}=(3\hat{i}+4\hat{j})\times {10}^{-2}\text{T}$. The acceleration of the particle is found to be $\overrightarrow{a}=(x\hat{i}+2\hat{j})\text{m/s}$. The value of $x$ is :

Figure shown plane waves refracted from air to water using Huygen's principle $a,b,c,d,e$ are lengths on the diagram. The refractive index of water with respect to air is equal to

A sphere of radius $R$ has electric charge uniformly distributed in its entire volume. At a distance $x$ from its centre for $x<R$, the electric field is directly proportional to

Two discs of moments of inertia I₁ and I₂
about their respective axes (normal to the disc and passing through
the centre), and rotating with angular speeds ω₁
and ω₂ are
brought into contact face to face with their axes of rotation
coincident. (a) What is the angular speed of the two-disc system? (b)
Show that the kinetic energy of the combined system is less than the
sum of the initial kinetic energies of the two discs. How do you
account for this loss in energy? Take ω₁
≠ ω₂.

A thermodynamic cycle is comprised of four processes $1\to 2$ , $2\to 3$ , $3\to 4$ and $4\to 1$ . Heat & work interactions of these processes are given as

Two blocks A and B of masses $m$ & $2m$ placed on smooth horizontal surface are connect with a light spring. The two blocks are given velocities as shown when spring is at natural length. Find maximum extension in the spring.