Explore topic-wise InterviewSolutions in Current Affairs.

A and B were partners in a firm sharing profits in 3 : 2 ratio. They admitted C for $\frac{3}{7}$ share which he took $\frac{2}{7}$ from A and $\frac{1}{7}$ from B. Calculate new profit sharing ratio.

A uniform metal sphere of radius a and mass M is surrounded by a thin uniform spherical shell of equal mass and radius 4a (figure 11-E2). The centre of th shell on the surface of the inner sphere. Find th egravitational field at the points $P_1$ and $P_2$ shown in the figure.

A shell of mass $M$ and radius $R$ has a point mass $m$ placed at a distance $r$ from its centre. The gravitational potential energy $U\left(r\right)$ vs $r$ will be

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperture of ${27}^{o}C$, two successive resonances are produced at $20cm$ and $73cm$ of column length. If the frequency of the tuning fork is $320Hz$, the velocity of sound in air at ${27}^{o}C$ is approximately

A particle is projected from the ground at t = 0 so that on its way it just clears two vertical walls of equal height on the ground. If the particle passes just grazing top of the wall at time $t_{1}and{t}_2$ then calculate

the height of the wall

$co{s}^3\frac{r\pi }{3}$ =

From given figure find charge flown through $A$ to $B$ when switch $S$ is closed.

Work done in time t on a body of mass m which is accelerated from rest to a speed v in time $t_1$ as a function of time t is given by

A projectile is given an initial velocity of ($\hat{i}$+2$\hat{j}$) $\frac{m}{s}$, where $\hat{i}$ is along the ground and $\hat{j}$ is along the vertical. If g = 10 $\frac{m}{s^2}$, the equation of its trajectory is:

An object of specific gravity ρ is hung from a thin steel wire. The fundamental frequency for
transverse standing waves in the wire is 300 Hz. The object is immersed in water so that one
half of its volume is submerged. The new fundamental frequency in Hz is

Four springs are attached to a mass m as shown. The time period will be $2\pi$ times:

A dielectric slab of area A and thickness d is inserted between the plates of a capacitor of area 2A with constant speed v as shown in fig. Distance between the plates is d.

The capacitor is connected to a battery of e.m.f E. The current in the circuit varies with time as

For a parallel beam of monochromatic light of wavelength ${}^{\prime }{\lambda }^{\prime }$, diffraction is produced by a single slit whose width ‘a‘ is of the order of the wavelength of the light. If ‘D‘ is the distance of the screen from the slit, the width of the central maxima will be :

A particle of mass $1kg$ is projected with velocity $20\sqrt{2}m{s}^{-1}\text{at}{45}^{\circ }$ with ground. Considering the moment when particle is at highest point, match the statements in Column -$1$ with results in Column-$2$
$(\text{Assume}g=10m/s^2)$

$\begin{array}{cc}\text{Column -1}& \text{Column -2}\\ \text{(A)Net torque on the particle}& \text{(P) 200 SI unit}\\ \text{about point of projection}& \\ \text{(B)Angular momentum of the}& \text{(Q) 400 SI unit}\\ \text{particle about point of}& \\ \text{projection}& \\ \text{(C)Angular velocity of the}& \text{(R)1.0 SI unit}\\ \text{particle about point of}& \\ \text{projection}& \\ & \text{(S)None}\end{array}$

Two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed, after some time.

A coil having a resistance of 20 ohm and inductance 20 H is connected to 120 V battery. Find the value of energy stored in the magnetic field when the steady state is reached?

In young’s double slit experiment, the fringe width with light of wavelength ${\lambda }_1$ is ${\beta }_1$ and with light of wavelength ${\lambda }_2$ is ${\beta }_2$. Using light of wavelength ${\lambda }_1$ , the fringe width becomes ${\beta }_3$ if the entire apparatus is immersed in a transparent liquid of refractive index $\mu$. Then,

A ray of light is incident on air glass interface from air to glass. Which of the given angles can not be Brewster's angle ${\theta }_B$?

Two rods of same mass and same length l_o but having different coefficient of expansions a and 3a are joined at P (see figure). System is placed on frictionless surface. If temperature of whole system is changed by DT, the displacement of junction point is

A particle undergoing SHM has the equation $x=A\sin (\omega t+\varphi )$, where $x$ represents the displacement of the particle. The kinetic energy oscillates with time period

Find the height of the center of mass of a semi-circular disk of radius $R=20\text{cm}$ from point $\text{O}$ (base center).

Find the equivalent capacitance of the combination.

Newton's law of gravitation is applicable for which type of bodies?

The dimension of $a$ in Van der Waals equation $(P+\frac{a{n}^2}{V^2})(V-nb)=nRT$ is

Explain why
a) The blood pressure in humans is greater at the feet than at the brain.

b) Atmospheric pressure at a height of about 6 km decreases to nearly half of its value at the sea level, though the height of the atmosphere is more than 100 km.

c) Hydrostatic pressure is a scalar quantity even though pressure is force divided by area.

The bob of a simple pendulum has mass $2g$ and a charge of $q\mu C$. It is at rest in a uniform horizontal electric field of intensity $2000\text{V/m}$. At equilibrium, if the angle that the pendulum makes with the vertical is ${\tan }^{-1}\left(0.5\right)$, find $q$ (assuming $g=10m/s^2$)

Two prisms A and B are in contact with each other.The dispersive powers of A and B are 0.04 and 0.03 respectively.The angular dispersion produced by A is $8^{\circ }$. The net angular dispersion produced by the combination, if the combination does not produce a net deviation is

A conducting loop carrying a current I is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to

The range of a projectile, which is launched at an angle of ${15}^o$ with the horizontal, is $150m$. What is the range for an angle of projection of ${45}^o$ to the horizontal?

Superman is going on a vacation to his home planet krypton from earth via. Sun. (Let's assume for a moment that Krypton is not destroyed). His energy v/s distance travelled graph is as shown below:

Find the number of positions where $\frac{dE}{ds}$=0. Based on this find out the number of stars that Super man crossed on his way home from earth. (I hope you know that superman's source of energy is sunlight or star light so the more closer he goes to a star the more energy he has)

In a car race, car $A$ takes $20$ seconds less than car $B$ to finish and passes the finishing point with speed $v$ more than that of car $B$. Assuming that both cars start from rest and travel with a constant acceleration of $50{\text{m/s}}^2$ and $40{\text{m/s}}^2$ respectively, what is the value of $v$ ?

A circuit draws 330W from a 110V, 60Hz AC line. The power factor is 0.6 and the current lags the voltage. The capacitance of a series capacitor that will result in a power factor of unity is equal to:

A radioactive sample undergoes decay as per the following graph. Dotted line represents the slope of the curve at t = 0. If this dotted line intersects the time axis at t = T, choose the correct alternative (Given $t_{\frac{1}{2}}$ = half life, $t_{avg}$ = mean life)

As shown below, a uniform disc is mounted to a fixed axle and is free to rotate without friction. A thin uniform rod is rigidly attached to the disc so that it will rotate with the disc. A block is attached to the rod.

Disc : mass = 3m, radius = R, moment of inertia about center $I_D=\frac{3}{2}m{R}^2$

Rod : mass = m, length = 2R, moment of inertia about one end $I_R=\frac{4}{3}m{R}^2$

Block : mass 2m

The system is held in equilibrium with the rod at an angle ${\theta }_0$ to the vertical, as shown above, by a horizontal string of negligible mass one end attached to the disc and the other to a wall.

The tension in the string is

A projectile is fired with a constant speed at two different angles of projection, say $\alpha$ and $\beta$, that give it the same range. Then, $\alpha$ and $\beta$ are such that,

Find the angle between the net acceleration vector and tangential acceleration vector for a particle moving in a circle of radius $4m$ with its speed increasing at $3m/s$ every second, when the speed of the particle is $4m/s$.

A screw gauge has pitch of $1.0mm$ & $80$ divisions on its circular scale. When a coin is fitted between its studs, it reads $8$ main scale divisions & $48$ divisions on circular scale, with no zero error. The reading of screw gauge is

According to de Broglie, the electron in n=3 of Hydrogen atom will look like

Two point charges $q_A=3\mu C$ and $q_B=–3\mu C$ are located 20 cm apart in vacuum. What is the electric field at the midpoint O of the line AB joining the two charges?

If a negative test charge of magnitude $1.5\times {10}^{–9}C$ is placed at this point, what is the force experienced by the test charge?

A mass is at a distance $a$ from one end of a uniform rod of length $l$ and of mass $M$. The magnitude of gravitational force on the mass $m$ due to the rod is

A car is moving with a speed of $30{\text{ms}}^{-1}$ on a circular path of radius $225\text{m}$. If its speed is increasing at the rate of $3{\text{ms}}^{-2}$, the net acceleration of the car is

Young’s modulus of a perfectly rigid body is

A block rides on a piston that is moving vertically with simple harmonic motion. The maximum speed of the piston is 2 m/s. At what minimum amplitude of motion will the block and piston separate? $(g=10m/s^2)$

An object is dropped from a height of $20\text{m}$. If a plane mirror is lying on the floor with the reflecting surface facing the object. The speed of image of the ball with respect to the ball just before striking the mirror will be
$($Take $g=10{\text{m/s}}^2)$

A vertical capillary tube is brought in contact with the water surface (coefficient of surface tension T). The radius of the capillary is r and the angle of contact $0^{\circ }$ is . If $\rho$ is the density of water, the increase in the potential energy of the water due to capillary rise is

A symmetric star shaped conducting wire loop is carrying a steady state current $I$ as shown in the figure. The distance between the diametrically opposite vertices of the star is $4a$. The magnitude of the magnetic field at the center of the loop is