Explore topic-wise InterviewSolutions in Current Affairs.

A particle experiences a constant acceleration for $20\text{s}$ starting from rest. If it travels a distance $S_1$ in the first $10\text{s}$ and a distance $S_2$ in the next $10\text{s}$, then:

When pressure of a gas (at ${20}^{\circ }\text{C}$ temperature) is changed from $P_1=1.01\times {10}^5\text{Pa}$ to $P_2=1.165\times {10}^5\text{Pa}$, the volume changes by $10$%. Then the bulk modulus of the gas is

1. 608.5

The current passing through the choke coil of 14 H is decreasing at the rate of 0.32 ampere per second. The e.m.f developed across the coil is

A river is flowing at a speed of $10\text{m/s}$. A man standing on the bank of the river wants to reach the opposite side of the river through the shortest path. Find the shortest angle with the bank of the river, at which the man should swim in order to reach the opposite side. Speed of man with respect to river water is $20\text{m/s}$.

Two uniform circular thin rods of mass $m$ and length $l$ are connected with each other at their mid points and perpendicular to each other. A ring is also connected to both of the rods as shown in figure. Masses of the ring and both rods are the same. Find the moment of inertia of the system about the axis passing through the mid point of the rods and perpendicular to the plane of ring.

A spring and block are shown in figure. When the block is pulled out to $x=+4cm$, we must apply a force of magnitude $360N$ to hold it there. We pull the block to $x=11cm$ and then release it. How much work does the spring do on the block as the block moves from $x=+5cm$ to $x=+3cm$?

An ideal gas with adiabatic exponent $\gamma$ is heated at constant pressure. It absorb Q amount of heat. Determine the fractions of heat absorbed in raising the internal energy and performing the work.

A pump motor is used to deliver water at a certain rate from a given pipe to a certain height. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to

Power factor of an $L-R$ series circuit is $0.6$ and that of a $C–R$ series circuit is $0.5$. If the elements $(L,C,$ and $R)$ of the two circuits are joined in series, the power factor of this circuit is found to be $1$. The ratio of the resistance in the $L-R$ circuit to the resistance in the $C-R$ circuit is

In a triangle $ABC$ if $\cot \frac{A}{2}\cot \frac{B}{2}=c,\cot \frac{B}{2}\cot \frac{C}{2}=a\text{and}\cot \frac{C}{2}\cot \frac{A}{2}=b$ then $\frac{1}{s-a}+\frac{1}{s-b}+\frac{1}{s-c}=$

All electrons ejected from a metallic surface by the incident light of wavelength $200\text{nm}$ can be stopped before just travelling $1\text{m}$ in the direction of uniform electric field of $4{\text{NC}}^{-1}$. The work function of the surface is:

The figure shows a network of currents. The current $i$ will be

1. 4.6

Find the average velocity of the position function $s\left(t\right)=3t^2-6t$ on the interval from $t=0\text{sec}$ to $t=4\text{sec}$.

If $A=(3,1,-2),B=(-1,0,1)$ and $l,m$ are the projections of $AB$ on the $y$-axis, $zx$ plane respectively then $3l^2-m+1$=

A point object is moving with speed $v$ in front of the arrangement of two perpendicular plane mirrors as shown in the figure. The magnitude of velocity of image in mirror $M_1$ with respect to image in mirror $M_2$ will be

A system comprises of a solid non conducting sphere of charge $Q$ and radius $R$. A point charge $q$ is placed at a distance $r$ from the centre of sphere. Find the total energy of the system

$[k=\frac{1}{4\pi {\epsilon }_0}]$

Two identical balls of masses $5\text{kg}$ each are kept on a frictionless surface as shown in the figure below. One of the balls moving at $4\text{m/s}$ makes a head-on collision with the other at rest initially. It is observed that final kinetic energy of the balls is half of the initial kinetic energy. Find the coefficient of restitution.

A force $\overrightarrow{F}=2x\hat{j}$ acts on a particle. The particle starts from point $(0,0)$ and moves to the point $(3,9)$ following the path $y=x^2$. The total work done by the force $\overrightarrow{F}$ on the particle is

The metallic bob of a simple pendulum has the relative density $\rho$. The time period of this pendulum is $T$. If the metallic bob is immersed completely in water, then the new time period is given by:

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross-sectional area. If the end A is maintained at 60${}^{\circ }$C and the junction E at 10 ${}^{\circ }$ C, calculate the temperature of the junction B. The thermal conductivity of x is 800 W/M- ${}^{\circ }$ C and

that of y is 400 W/M- ${}^{\circ }$ C

A particle of mass $10\text{kg}$ is dropped from tower of height $10\text{m}$. Find the ratio of workdone by gravity from point ${}^{\prime }{A}^{\prime }$ to ${}^{\prime }{B}^{\prime }$ and change in potential energy from ${}^{\prime }{A}^{\prime }$ to ${}^{\prime }{B}^{\prime }$

Three closed vessels, A, B and C at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only $O_2$, B only $N_2$ and C a mixture of equal quantities of $O_2$ and $N_2$. If the average speed of the $O_2$ molecules in vessel A is $v_1$, that of the $N_2$ molecules in vessel B is $v_2$, the average speed of the $O_2$ molecules in vessel C is

A horizontal rod is hit at one end. What kind of wave propagates in the rod if

(i) the hit is made vertically

(ii) the hit is made horizontally?

The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume?
(The volume elasticity of the cube is $\beta$ and the coefficient of volume expansion is $\alpha$)

1. 8.18

Figure shows a capillary tube of radius $r$ dipped into water. The atmospheric pressure is $P_0$ and the capillary rise of water is $h$. $s$ is the surface tension for water-glass.


The pressure inside water at the point $A$ (lowest point of the meniscus) is

A closed vessel contains $8\text{g}$ of oxygen and $7\text{g}$ of nitrogen. The total pressure is $10$ atm at a given temperature. If now, oxygen is absorbed by introducing a suitable absorbent, the pressure of the remaining gas in atm will be

If $\int {\cos }^{4}xdx=Ax+B\sin 2x+C\sin 4x+D$, then $\{A,B,C\}$ equals

(a) Three resistors 2 Ω,
4 Ω and
5 Ω are
combined in parallel. What is the total resistance of the
combination?

(b) If the combination is connected to a battery of emf 20 V
and negligible internal resistance, determine the current through
each resistor, and the total current drawn from the battery.