Explore topic-wise InterviewSolutions in Current Affairs.

In the circuit shown in Fig., $I_2=3A$ in the steady state. The potential difference across the $4\Omega$ resistor is

Uniform electric and magnetic fields with strength E and induction B, respectively, are along $y$ -axis as shown in the figure. A particle with specific charge $q/m$ leaves the origin 0 in the direction of $x$ -axis with an initial non relativistic velocity $v_0.$ The coordinate $y_n$ of the particle when it crosses the $y$ -axis for the $n^{\text{th}}$ time is

The approximate depth of an ocean is 2700m. The compressibility of water is $45.4\times {10}^{-11}P{a}^{-1}$ and density of water is ${10}^{3}kg/m^3$. What fractional compression of water will be obtained at the bottom of the ocean?

Concentric conducting shells are shown in figure. Potential drop between spheres is
$V_0$. If charge on outer shell is tripled and charge on inner shell is doubled, then new potential drop between spheres is

If the terminal speed of sphere $A$ $(\text{density}=19.5{\text{kg/m}}^3)$ is $0.2\text{m/s}$ in a viscous liquid $(\text{density}=1.5{\text{kg/m}}^3)$, find the terminal speed of a sphere $B$ $\text{density}=10.5{\text{kg/m}}^{-3})$ of the same size in the same liquid.

In the figure shown below, two particles have masses $2\text{kg}$ each and they are moving with velocities $4\text{m/s}$ and $2\text{m/s}$ respectively towards each other. Assume the collision between the particles is perfectly elastic. Find their respective magnitudes of velocities after the collision.

A car is travelling at a speed of $20\text{m/s}$. Evaluate the value of speed in $\text{km/hr}$.

A ball of mass $4\text{kg}$ is moving in 3 dimensional plane and velocity of ball w.r.t an observer is ${\overrightarrow{V}}_1=-3\hat{i}+4\hat{j}+5\hat{k}$ and velocity of observer w.r.t ground is given as ${\overrightarrow{V}}_2=2\hat{i}+2\hat{j}-4\hat{k}$. Find out kinetic energy of ball w.r.t ground.

The potential field of an electric field $\overrightarrow{E}=(y\hat{i}+x\hat{j})$ is

A uniform rod of mass M and length L hinged about top point is rotating at angular velocity $\omega$ in such a way that it carves out conical shape while moving as shown in figure. Magnitude of angular momentum of rod about hinge point is

A point transversed $3/4^{th}$ of the circle of radius $R$ in time $T$ .The magnitude of the average velocity of the particle in this time interval is

[CPMT 1988; KCET 1998; UPSEAT 2001]

A stone is hung in air from a wire which is stretched over a sonometre. The bridges of the sonometre are $L\text{cm}$ apart when the wire is in unison with a tuning fork of frequency $N$. When the stone is completely immersed in water, the length between the bridges is $l\text{cm}$ for re-establishing unison, the specific gravity of the material of the stone is

Pipes are arranged as shown in the figure below. ${\rho }_1,{\rho }_2$ and ${\rho }_3$ are the densities of the fluids in these pipes where ${\rho }_3=2{\rho }_1$ and ${\rho }_1={\rho }_2$. Find the angle $\theta$ shown in the figure below.

Given a circular disk of radius R = 0.4 m and containing uniformly distributed charge with surface charge density, $\sigma =1C/m^2$. The electric field at a point P which is 0.3m along the axis of the disc from the centre is $\frac{1}{\eta {\epsilon }_0}$ where n is a natural number whose value is equal to _____

If velocity $v$, force $F$ and energy $E$ are taken as fundmental units, then dimensional formula for mass will be

For a certain body, the velocity-time graph is shown in the figure. The ratio of applied forces for intervals AD and DC are

The temperature at which the reading of Fahrenheit thermometer will be double that of a centigrade thermometer is

A ball is thrown vertically upward with a velocity u frif the top of the tower .if it strikes the ground with a velocity 3u the time taken by the ball to reach the ground is and in terms of u is required

A block rides on a piston that is moving vertically with simple hormonic motion. The maximum speed of the piston is $2\text{m/s}$. If maxmium acceleration of block during its motion is$a=10{\text{m/s}}^2$, then the amplitude of motion at which the block and piston separates is

A short electric dipole is oriented along $+vex$ - direction at origin. At which of following point the electric field have no $x$ component ?

A particle moves in a circle of radius 20cm with a linear speed of 10 m/s. Find the angular velocity, in rad/sec is ______

Ammonia under a pressure of $15\text{atm}$ at $27{}^{\circ }\text{C}$ is heated to $347{}^{\circ }\text{C}$ in a closed vessel in the pressure of a catalyst. Under these conditions $N{H}_3$ is partially decomposed according to the equation,
$2N{H}_3\rightleftharpoons N_2+3H_2$
The vessel is such that the volume remains effectively constant whereas pressure increases to $50\text{atm}$. Calculate the percentage of $N{H}_3$ actually decomposed.

An early model for an atom considered it to have a positively charged point Nucleus of charge Ze, surrounded by a uniform density of negative charge up to radius R.the atom as a whole is neutral.for this model what is the electric field at a distance r from the nucleus?

A glass flask of volume one litre at $0{}^{\circ }\text{C}$ is filled, level full of mercury at this temperature. The flask and mercury are now heated to $100{}^{\circ }\text{C}$. Find the amount of mercury that will spill out, if the coefficient of volume expansion of mercury is $1.82\times {10}^{-4}{/}^{\circ }\text{C}$ and the coefficient of linear expansion of glass is $0.1\times {10}^{-4}{/}^{\circ }\text{C}$ respectively.

Avinash travels half the distance from his home to office at speed of 15 km/hr and rest of the journey at 30 km/hr. Find the average speed of Avinash on his way to office.

Let $A_1,A_2,$ and $A_3$ be the regions on $R^2$ defined by
$A_1=\left\{\right(x,y):x\ge 0,y\ge 0,2x+2y-x^2-y^2>1>x+y\},A_2=\left\{\right(x,y):x\ge 0,y\ge 0,x+y>1>x^2+y^2\},A_3=\left\{\right(x,y):x\ge 0,y\ge 0,x+y>1>x^3+y^3\}.$
Denote by $|A_1|,|A_2|,$ and $|A_3|$ the areas of the regions $A_1,A_2$ and $A_3$ respectively. Then

A plane is in level flight at constant speed and each of its two wings has an area of $25m^2$. If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane’s mass. (Take air density to be $1kg{m}^{–3})$.

Water is taken in a metal container and is heated at its bottom. The arrangement is placed in a freely falling elevator. Now water is heated up by

a)conduction b)convection c)radiation

1)a,b,c. 2)a,b only

3)b,c only 4)a,c only

Which of the following is true for photon

The needle of a dip circle shows an apparent dip of ${45}^0$ in a particular position and ${53}^0$ when the circle is rotated through ${90}^0$. Find the true dip.

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, $A$ is the point of contact, $B$ is the centre of the sphere and $C$ is its topmost point. Then,

A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of $0.5\text{m/s}$. What is the height of the plane of circle from vertex of the funnel? (take $g=10{m/s}^2$)

An X-ray tube operates at 40 kV. Suppose the electron converts 70 % of its energy into a photon at each collision. Find the lowest three wavelengths emitted from the tube. Neglect the energy imparted to the atom with which the electron collides.

Consider the situation in figure. The bottom of the pot is a reflecting plane mirror, S is a small fish and T is human eye. Refractive index of water is $\mu$.

(a) At what distance(s) from itself will the fish see the image(s) of the eye ?

(b) At what distance(s) from itself will the eye see the image(s) of the fish.

The condition of air in a closed room is described as follows. Temperature = ${25}^0$ C, relative humidity = 60 %, pressure = 104 kPa. If all the water vapour is removed from the room without changing the temperature, what will be the new pressure ? The saturation vapour pressure at ${25}^0$ C = 3.2 kPa.

Two large glass plates are placed vertically and parallel to each other inside a tank of water with separation between the plates equal to 1 mm. find the rise of water in the space between the plates. Surface tension of water = 0.075 N m^-1.

A single slit of width $b$ is illuminated by a coherent monochromatic light of wavelength $\lambda$. If the second and the fourth minima in the diffraction pattern at a distance $1\text{m}$ from the slit are at $3\text{cm}$ and $6\text{cm}$ respectively from the central maximum, what is the width of the central maximum?

Three equal masses m are placed at the three corners of an equilateral triangle of side a. Find the force exerted by this system on another particle of mass m placed at (a) the mid-point of a side, (b) at the centre of the triangle.