Explore topic-wise InterviewSolutions in .

A uniform rod of mass $m$ and length $l$ hinged at point $\text{H}$ can rotate in a vertical plane about a smooth horizontal axis. Find the force exerted by the hinge just after the rod is released from rest, from an initial position making an angle of ${37}^{\circ }$ with horizontal.

A test tube of cross-sectional area $a$ has some lead shots in it. The total mass is $m$. It floats upright in a liquid of density $d$. When pushed down a little and released, it oscillates up and down with a period $T$. Choose the correct relationship from the following.

In a common emitter transistor amplifier the audio signal voltage across the collector is 3V. The resistance of collector is $3k\Omega$. If current gain is 100 and the base resistance is $2k\Omega$, the voltage and power gain of the amplifier is

The angle which a vector $\hat{i}-\hat{j}+\sqrt{2}\hat{k}$ makes with x-axis is

The penetration of light into the region of geometrical shadow is caused due to______.

Two cars $A$ and $B$ are moving on two separate perpendicular roads approaching a crossing with uniform speed of $72\text{km/h}$ and $36\text{km/h}$ respectively. If the car $B$ blows horn of frequency $280\text{Hz}$ then the frequency of horn heard by the driver of the car $A$, when the line joining the cars make an angle of ${45}^{\circ }$ with the roads, will be,

[speed of sound $=330\text{m/s}$]

In a large room, a person receives direct sound waves from a source $120\text{m}$ away from him. He also receives the sound waves from the same source, which reaches him after being reflected from the $25\text{m}$ high ceiling at a point midway between them. The two waves interfere constructively for wavelengths (in $\text{m}$) of -

Which of the following graph best represents variation of photo current with respect to potential (for constant intensity)

The electric field in an electromagnetic wave is given by $E=\left(50N{C}^{-1}\right)\sin \omega (t-\frac{x}{c})$.

Find the electrical energy contained in a cylinder of cross-section 10 $c{m}^2$ and length 50 $cm$ along the x-axis.

A plate is moving with velocity $5\text{m/s}$ parallel to a plate that is held stationary at a distance of $10\text{mm}$ below the upper plate. If the space between the plates is filled with water having coefficient of viscosity $9\times {10}^{-4}$ Pa $s$, then the shear stress acting on the surface of the moving plate assuming linear velocity profile between plates will be

A police jeep is chasing with, velocity of $45\frac{km}{h}$ a thief in another jeep moving with velocity $153\frac{km}{h}$. Police fires a bullet with muzzle velocity of $180\frac{m}{s}$. The velocity it will strike the car of the thief is

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane in circular path with $O$ as centre. If the velocity of the outermost particle $v_0$, then the ratio of tensions in the three sections of the string is

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The $\text{displacement(S) - time (t)}$ graph that describes the motion of the particle is (graphs are drawn schematically and are not to scale):

1. 0.74

A body of mass $100\text{g}$ is at rest on a smooth surface. A force of $0.1\text{N}$ starts to act on it for $5\text{s}$. Calculate the distance travelled by the body during this time interval.

Two large plates are given the charges as shown in the figure. The left plate is now earthed. The amount of charge that will flow from earth to this plate is

Two point charges $q_1=-1\mu \text{C}$ and $q_2=+1\mu \text{C}$ are located on the $x-$ axis, at $x=0\text{m}$ and at $x=1\text{m}$ respectively. The work that must be done by an external force to bring a third point charge $q_3=+1\mu \text{C}$ from infinity to $x=2\text{m}$ is

A solid sphere falls with a terminal velocity of 20 m s^-1 in air. If it is allowed to fall in vacuum,

A small bar magnet is placed with its north pole facing magnetic north pole of earth. The neutral points are located at distance $r$ from its centre. If the magent is rotated by 180${}^{\circ }$, netural point shall be obtained at distance

An electron with a kinetic energy of $100\text{eV}$ enters the space between the plates of a parallel plate capacitor made of two dense metal grids at an angle of ${30}^{\circ }$ with the plates of capacitor and leaves this space at an angle of ${45}^{\circ }$ with the plates. What is the potential difference of the capacitor ?

A body of mass $1\text{kg}$ is projected with velocity $50\text{m/s}$ at an angle of ${30}^{\circ }$ with the horizontal. At the highest point of its path, a force $10\text{N}$ starts acting on body for $5s$ vertically upwards besides gravitational force. What is horizontal range of the body ? ($g=10{\text{m/s}}^2$):

A hollow sphere is placed on a rough horizontal surface. A sharp ipulse is given to the sphere horizontally towards its centre

The amplitude of a damped oscillator decreases to $0.9$ times its original magnitude in $5\text{s}$. In another $10\text{s}$, it will decrease to $\alpha$ times its original magnitude, where $\alpha$ equals

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $d_1$ and $d_2$ are filled in the tube. Each liquid subtends ${90}^{\circ }$ angle at centre. Radius joining their interface makes an angle $\alpha$ with vertical. Ratio of $\frac{d_1}{d_2}$ is

Two spheres of masses, $20\text{g}$ and $40\text{g}$ are moving on a straight frictionless path in the same direction with velocities of $3\text{m/s}$ and $2\text{m/s}$ respectively. They collide with each other and after collision, the sphere of mass $20\text{g}$ moves with a velocity of $2.5\text{m/s}$ in the same direction as before collision. Find the velocity of the second ball after collision.

A p-type semiconductor has acceptor level of $57\text{meV}$ above the valence band. Find the maximum wavelength of light which can create a hole

Find the force of interaction between $3kg$ and $2kg$ (Assume surfaces are frictionless )