Explore topic-wise InterviewSolutions in .

A thin rod has a length of $5\text{m}$. What is the ratio of the $\text{MI}$ of the rod about an axis perpendicular and passing through it's centre, to $\text{MI}$ of the rod about an axis perpendicular and passing through one of the edges of the rod?

A person $1.6\text{m}$ tall is standing at the centre between two walls three metre high. What is the minimum size of a plane mirror fixed on the wall in front of him, if he is to see the full height of the wall behind him?

A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is

Two forces whose magnitudes are in the ratio $3:5$ give a resultant of $28\text{N}$. If the angle of their inclination is ${60}^{\circ }$, find the magnitude of the larger force.

The focal lengths of the lens of an astronomical telescope are $50\text{cm}$ and $5\text{cm}$. The length of the telescope when the image is formed at the least distance of distance vision is ( in $\text{cm}$ )

The length of a strip measured with a meter rod is 10.0 $cm$. Its width mesasured with a vernier callipers is 1.00 $cm$. The least count of metre rod is 0.1 $cm$ and that of vernier calliipers is 0.01 $cm$. What will be the error in its area?

An automobile of mass m accelerates, starting from rest, with the engine supplying constant power 'P'. How the velocity of the automobile vary with time?

Equal current $I$ flowing in two wires $\text{PQ}$ and $\text{QR}$ according to figure, one end of both wire is at infinity. $\angle PQR$ equals $\theta .$ The magnetic field at point $\text{O}$ is





Here $\text{O}$ is at $r$ distance from $\text{Q.}$ Where $\text{QO}$ is bisector of angle $\angle PQR$

A sonometer wire of length $1.5\text{m}$ is made of steel. The tension in it produces an elastic strain of $1\%$. What is the fundamental frequency of steel if density and elasticity of steel are $7.7\times {10}^3{\text{kg/m}}^3$ and $2.2\times {10}^{11}{\text{N/m}}^2$ respectively?

When a $12\Omega$ resistor is connected with a moving coil galvanometer, then its deflection reduces from 50 divisions to 10 divisions. The resistance of the galvanometer is

In which of the following processes, the number of protons in the nucleus increase?

Suppose the particle of the previous problem has a mass m and a speed v before the collision and it sticks to the rod after the collision. The rod has a mass M. (a) Find the velocity of the centre of mass C of the system constituting " the rod plus the particle". (b) Find the velocity of the particle with respect to C before the collision. (c) Find the velocity of the rod with respect to C before the collision. (d) Find the angular momentum of the particle and of hte rod about the centre of mass C before the collision. (e) Find the moment of inertia of the system about the vertical axis through the centre of mass C after the collision. (f) Find the velocity of the centre of mass C and the angular velocity of the system about the centre of mass after the collision.

A simple pendulum of length $20\text{cm}$ and mass $5.0\text{g}$ is suspended in a race car travelling with constant speed $70\text{m/s}$ around a circle of radius $50\text{m}$. If the pendulum undergoes small oscillations about its equilibrium position, what is the frequency of oscillation?

Four identical particles of mass $M$ are located at the corners of a square of side ${}^{\prime }{a}^{\prime }$. What should be their speed if each of them revolves under the influence of the others' gravitational field in a circular orbit circumscribing the square?

The current in the given circuit when $t=\infty$ is

Given that the initial state $(Q_1,Q_0)$ is 00, the counting sequence of the counter shown in the following figure is, $Q_1,Q_0=$

Figure shows two conducting thin concentric shells of radii $r$ and $3r$. The outer shell carries $q$ while inner shell is neutral and is connected to earth by a switch $S$. Find the charge that will flow from earth to inner shell after the switch $S$ is closed.

Why energy of electron have negative sign?

The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of $x$ from it, is $I\left(x\right)$. which one of the graphs represents the variation of $I\left(x\right)$ with $x$ correctly?

An L-shpaed lamina is shown in the figure given below:





Both rectangular sheets are made of the same material of negligible thickness. Find the $y$ coordinate of $\text{COM}$ of the system.

An RTD is assumed to be represented in the range $0^{\circ }C$ to 100°C by a linear model as

$R_T=R_0(1+0.004T)$

where T is the temperature in $°C$. $R_0=100\Omega$ with a variation of $\pm 2\Omega$ The true model of the RTD is

$R_T=R_0(1+0.004T+6\times {10}^{-7}{T}^2)$ The worst-case error magnitude in the resistance value that will be introduced, if the linear model is used over a range of 0 to 100°C is