Explore topic-wise InterviewSolutions in Current Affairs.

A given sample of an ideal gas occupies a volume $V$ at a pressure $P$ and absolute temperature $T$. The mass of each molecule of the gas is $m$. Which of the following gives the density of the gas ?

A particle of mass $3m$ is projected from the ground at some angle with horizontal. The horizontal range is $R$. At the highest point of its path it breaks into two pieces $m$ and $2m$. The smaller mass comes to rest and larger mass finally falls at a distance $x$ from the point of projection, where $x$ is equal to

Dielectric slab of area A passes between the capacitor plates of area 2A with a constant speed v. The variation of current (i) through the circuit as function of time (t) can be qualitatively represented as (the length of dielectric slab is half the length of the capacitor plates)

A charged particle with some initial velocity is projected in a region where non-zero uniform electric and/or magnetic fields are present. In column I, information about the existence of a electric and/or magnetic field and direction of initial velocity of charged is mentioned. Match the entries of Column I with the entries of Column II (Consider all possibilities)

$\begin{array}{cccc}& \text{Column I}& & \text{Column II}\\ \text{(a)}& \overrightarrow{E}=0,\overrightarrow{B}\ne 0\text{and initial velocity may be at any angle with}\overrightarrow{B}\text{including}{0}^{\circ }& \text{(p)}& \text{Straight line}\\ \text{(b)}& \overrightarrow{E}\ne 0,\overrightarrow{B}=0\text{and initial velocity may be at any angle with}\overrightarrow{E}\text{including}{0}^{\circ }& \text{(q)}& \text{Parabola}\\ \text{(c)}& \overrightarrow{E}\ne 0,\overrightarrow{B}\ne 0\overrightarrow{E}||\overrightarrow{B}\text{and initial velocity is}\perp \text{to both}\overrightarrow{E}\text{and}\overrightarrow{B}& \text{(r)}& \text{Circular}\\ \text{(d)}& \overrightarrow{E}\ne 0,\overrightarrow{B}\ne 0,\overrightarrow{E}\text{is perpendicular to B and initial velocity is perpendicular to both}\overrightarrow{E}\text{and}\overrightarrow{B}& \text{(s)}& \text{Helical path}\end{array}$

Two tuning forks when sounded together produce $6$ beats per sec. The first fork has the frequency $3$% higher than a standard one and the second has the frequency $2$% less than the standard fork. The frequency of the forks are

The equivalent resistance between A and B in the circuit shown in figure is

A pendulum clock loses 12 s a day if the temperature is 40⁰ C and gains 4s a day if the temperature is 20⁰C. The temperature at which the clock will show correct time, and the co – efficient of linear expansion (a) of the metal of the pendulum shaft are respectively

A projectile projected from the ground has its direction of motion making an angle $\frac{\pi }{4}$ with the horizontal at a height $40m$. If initial velocity of projection is $50m/s$, the angle of projection is (take $g=10m{s}^{-2}$)

A semi-circular current carrying wire having radius R is placed in x-y plane with its centre at origin O. There is a position dependent non-uniform magnetic field $B=\frac{B_{0}x}{2R}\hat{k}$ (here, $B_0$ is positive constant) existing in the region. The force due to magnetic field acting on the semi-circular wire will be along

In a series LCR circuit the voltage across the resistance, capacitance and inductance is 10V each. If the
capacitance is short circuited, the voltage across the inductance will be

A ray parallel to $x$ - axis is incident at a point $P$ on a parabolic reflecting surface, and the reflected ray becomes parallel to $y$ - axis as shown in the figure. If the equation of parabola is given by $y^2=2x$, then the coordinates of point $P$ are

A coil of Cu wire (radius-r, self inductance-L) is bent in two concentric turns each having radius $\frac{r}{2}$ The self inductance now

A metallic sphere of mass $3\text{kg}$ is held by a string and is completely immersed in a liquid of relative density $0.8$. The relative density of the metallic sphere is $10$. What is the tension in the string?
Take $g=10{\text{ms}}^{-1}$

A steel wire of cross section area $0.5m{m}^2$ is held between two fixed supports. If the tension in the wire is negligible, and it is just taut at a temperature of ${20}^{\circ }C$ determine the tension when the temperature falls to $0^{\circ }C$. Assume the distance between supports to be the same,Young's modulus of steel $Y=2.1\times {10}^{12}$ dynes and coefficient of linear expansion for steel $\alpha =12\times {10}^{-6}{}^{\circ }{C}^{-1}$

A conducting circular loop of radius $2.2cm$ is placed in a uniform magnetic field of magnitude $0.04T$ with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at $2mm/s$. The induced emf in the loop when the radius is $2cm$ is

A bent wire AB carrying a current I is placed in a region of uniform magnetic field $\overrightarrow{B}$. The force on the wire AB is

A particle is moving in a circular path with an angular velocity of $2\text{rad/s}$ and angular acceleration of $\alpha =\frac{5}{2}\omega$, where $\omega$ is the angular velocity at any particular instant. Find the angular velocity after the particle has moved through an angle of $3\pi$.

A force $\overrightarrow{F}=(3\hat{i}+4\hat{j})\text{N}$ acts on a particle moving in $x-y$ plane . Starting from origin, the particle first goes along $x$ - axis to the point $(4\text{m, 0)}$ and then parallel to the $y$ - axis to the point $(4\text{m},3\text{m})$. The total work done by the force on the particle is

A copper ball of mass $100gm$ is at a temperature $T$. It is dropped in a copper calorimeter of mass $100gm$, filled with $170gm$ of water at room temperature. Subsequently, the temperature of the system is found to be ${75}^{o}C$. $T$ is equal to

(Given : Room temperature $={30}^{o}C$, specific heat of copper $=0.1cal/g{m}^{o}C$)

If velocity of a particle is $v\left(t\right)=8-2t\text{m/s}$, the average speed and magnitude of average velocity of the particle in $5\text{sec}$ respectively are

A block of mass $4kg$ is pressed against the wall by a force of $80N$ as shown in figure. Determine the value of friction force and acceleration of block respectively. (Take coefficient of static friction $0.2$, coefficient of kinetic friction $0.15$)

A solid sphere of radius $R$ is surrounded by a liquid in a cylindrical container. A massless piston of area $A$ floats on the surface of the liquid. Find the value of bulk modulus, if the fractional decrease in the radius of the sphere is $\kappa$ when a mass $M$ is placed on the piston to compress the liquid. [Neglect the pressure variation between the piston and sphere and consider $\kappa$ as positive]

A horizontal constant force $F$ is applied at the top point of uniform solid cylinder so that it starts pure rolling. Acceleration of cylinder is

A particle moves from $(2,3)\text{m}$ to $(4,2)\text{m}$. The magnitude of displacement is

A projectile is thrown from a point to horizontal plane such that its horizzontal and vertical velocity component are 9.8 m/s and 19.6 m/s respectively. Its horizontal range is ______.

A force $F$ acting on a body depends on its displacement $x$ as $F\propto x^{\frac{-1}{3}}$. The power delivered by $F$ will depend on displacement as

A bus starts from rest accelerating uniformly with 4m/s2 at t = 10s a stone is dropped out of a window of the bus 2m high what are the

1. magnitude of velovity

2.acceleraton of the stone at 10.2s

A magnetic field exists in a smoke chamber shown perpendicular to the plane of paper (inwards). A beam coming out of a radioactive material [consisting of $\alpha ,{\beta }^{-},\gamma$ particles, proton $\left(H^{+}\right)$, Neutron] enters into the chamber through a fine hole, the four rays are named as $A,B,C$ and $D$.
[Assume $\alpha ,{\beta }^{-},$ Neutron and proton have nearly the same velocity.]
$\begin{array}{cccc}& \text{Column-I}& & \text{Column-II}\\ \text{(A)}& A& \text{(P)}& \alpha \\ \text{(B)}& B& \text{(Q)}& {\beta }^{-}\\ \text{(C)}& C& \text{(R)}& \gamma \\ \text{(D)}& D& \text{(S)}& H^{+}\\ & & \text{(T)}& \text{Neutron}\end{array}$
Which of the following option has the correct combination considering column-I and column-II.

In a situation shown in figure, if the length of the minute's hand is $\frac{10}{\pi }\text{cm}$, find the magnitude of change in velocity of the tip of the minute's hand.

The depth d at which the value of acceleration due to gravity becomes 1/n times the value at the surface, is [R = radius of the earth]

The kinetic energy acquired by a mass m in travelling a certain distance d, starting from rest, under the action of a force F such that the force F is directly proportional to t is

Three S.H.M's of equal amplitude A and equal time period in the same direction combine. The difference in phase between each pair is ${60}^{\circ }$ ahead of the other. The amplitude of the resultant oscillation is :

Which at these can never represent a body in free fall?

A small particle of charge q is displaced from the centre of a uniformly charged solid sphere of radius R and charge Q to an outside point at a distance R from the surface of sphere... Find the word done.

What are the different forces of attraction ? Arrange the in order of least attractive to the most attractive.

name a non metal which shows decrease in resistance and increase in temperature

The distance between the polars of the foci of the Ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$ w.r.to itself is

Both roots of the equation (x- b)(x - c) + (x - a)(x - c) + (x - a)(x - b) = 0 are always :

A particle with charge q and mass m is projected with kinetic energy K into the region between two plates of a uniform magnetic field B as shown below.

If the particle is to miss collision with the opposite plate, the maximum value of B is