Explore topic-wise InterviewSolutions in .

Figure 3.34 shows a
potentiometer circuit for comparison of two resistances. The balance
point with a standard resistor R = 10.0 Ω is
found to be 58.3 cm, while that with the unknown resistance X
is 68.5 cm. Determine the value of X.
What might you do if you failed to find a balance point with the
given cell of emf ε?

A hollow sphere of radius $2\text{m}$ is projected horizontally along a rough surface with velocity $v_0$ and angular velocity ${\omega }_0$. Find out their ratio so that the sphere stops moving after some time.

Let $\overrightarrow{a}=\overrightarrow{i}-\overrightarrow{j},\overrightarrow{b}=\overrightarrow{j}-\overrightarrow{k},\overrightarrow{c}=\overrightarrow{k}-\overrightarrow{i}$. If $\overrightarrow{d}$ is a unit vector such that $\overrightarrow{a}\cdot \overrightarrow{d}=\left[\overrightarrow{b}\overrightarrow{c}\overrightarrow{d}\right]=0,$ then $\overrightarrow{d}$ is equal to

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

Assertion (A) : Artificial satellites are always launched

from the earth in the eastward direction.

Reason (R) : The earth rotates from west to east and

so the satellite attains the escape velocity.

Refraction of light as it enters from water to air is due to________.

An uniform lamina in the shape of a right angled triangle is shown in the figure. Find the coordinates of $\text{COM}$ of the lamina. Assume the origin to be at the intersection of x and y axes.

The greatest and the least resultant of two forces acting at a point are $10\text{N}$ and $6\text{N}$, respectively. If each force is increased by $3\text{N}$ and are acting at a point making an angle of ${90}^o$ with each other. Find the resultant of new forces.

Interference fringes are produced by a double slit arrangement and a piece of plane parallel glass slab $(\mu =1.5)$ is placed in front of one of the slits. If the fringes are displaced through a distance equal to $30$ fringe widths for light of wavelength $6000\mathring{\text{A}}$, find the thickness of the glass slab.

A disc of mass $100g$ is kept floating horizontally in the air by firing bullets each of mass $5g$ with the same velocity at the same rate of $10$ bullets per second. The bullets rebound at the same speed in opposite direction. Then, the velocity of each bullet at the time of impact is: (Take $g=10m/s^2)$

Sinusoidal carrier voltage of frequency $1.5MHz$ and amplitude $50V$ is amplitude modulated by sinusoidal voltage of frequency $10kHz$ producing 50% modulation. The lower and upper side-band frequencies in $kHz$ are

A tunnel is dug across the earth of mass $M$ and radius $R$ at a distance $R/2$ from the centre $\text{O}$ of the Earth as shown. A body is released from rest from one end of the smooth tunnel. The velocity acquired by the body when it reaches the centre $\text{C}$ of the tunnel is

A projectile of mass $m$ is fired with a velocity $v$ from point $\text{P}$ at an angle ${45}^{\circ }$. Neglecting air resistance, the magnitude of the change in momentum leaving the point $\text{P}$ and arriving at $\text{Q}$ is,

A mars satellite moving in an orbit of radius $9.4\times {10}^3$ km takes 27540 s to complete one revoluton. calculate the mass of mars.

The potential energy for a force field $\overrightarrow{F}$ is given by $U(x,y)=\sin (x+y)$. The force acting on the particle of mass $m$ at $(0,\frac{\pi }{4})$ is

For the given U-tube, if water inside one of the arms is displaced slightly down, then the resulting oscillation has a time period of

Speed of sound in a gas at ${27}^{\circ }C$ is $360\text{m/s}$. Its speed at ${37}^{\circ }C$ is

1. 955

A simple microscope is rated $5\text{X}$ for a normal relaxed eye. What will be its magnifying power for a relaxed farsighted eye whose near point is $50\text{cm}$ ?

A
tank with a square base of area 1.0 m²
is divided by a vertical partition in the middle. The bottom of the
partition has a small-hinged door of area 20 cm².
The tank is filled with water in one compartment, and an acid (of
relative density 1.7) in the other, both to a height of 4.0 m.
compute the force necessary to keep the door close.

Find $\overrightarrow{A}\times \overrightarrow{B}$, if $\overrightarrow{A}=2\hat{i}-\hat{j}+3\hat{k}$ and $\overrightarrow{B}=-2\hat{i}+3\hat{j}+4\hat{k}$

A positive charge is moving towards a person. The direction of magnetic field lines will be in:

Focal length of the objective of a terrestrial telescope is $80\text{cm}$ and it is adjusted for parallel rays, then its magnifying power is $20$. If the focal length of erecting lens is $20\text{cm},$ then full length of telescope will be ( in $\text{cm}$)

In a tug of war one team gives way to the other what work is being done and by whom

In the arrangement shown below, a block of mass M is hung to a spring balance $S_2$ , which in turn is hung to another spring balance $S_1$.

If $T_1$, $T_2$ and $T_3$ represent the tensions, which of the following correctly represents the free body diagram of the three elements of this arrangement?

The maximum safe speed for a banked road is intended to be increased by $20$%. If the angle of banking is not changed, then the radius of curvature of the road should be changed from $30\text{m}$ to $x\text{m}$. The value of $x$ is

Two rods of different materials and of equal cross-sectional areas and length $1\text{m}$ are joined face to face at one end and their free ends are fixed to rigid walls. If the temperature of the surrounding is increased by $30{}^{\circ }\text{C}$, the magnitude of the displacement of the joint of the rods is :

$[{\alpha }_1=2\times {10}^{-5}{}^{\circ }{\text{C}}^{-1},{\alpha }_2=5\times {10}^{-5}{}^{\circ }{\text{C}}^{-1},$

$Y_1=2\times {10}^{10}{\text{N/m}}^2,Y_2={10}^{10}{\text{N/m}}^2]$