Explore topic-wise InterviewSolutions in Current Affairs.

Suppose the GDP at the market price of a country in a particular year was Rs. 1,100 crores. Net Factor Income from Abroad was Rs. 100 crores. The value of Indirect taxes - Subsidies were Rs. 150 crores and National Income was Rs. 850 crores. Calculate the aggregate value of depreciation.

An iron rod of length $1\text{m}$ is fixed between two walls as shown in figure. Find thermal stress and thermal strain developed in the rod if it is heated by $\Delta T={20}^{\circ }C$
(Given: Coefficient of linear expansion of iron is $1.2\times {10}^{-5}{}^{\circ }{C}^{-1}$; Young's modulus of iron is $2\times {10}^{11}{\text{N/m}}^2$).

Two inclined planes OA and OB having inclination (with horizontal) ${30}^{\circ }$ and ${60}^{\circ }$ respectively , intersect each other at O as shown in figure.A particle is projected from point P with velocity along a direction perpendicular to plane OA. if the particle strickes planne OB perpendicularly at Q, calculate ,

(i) Velocity with which particle strikes the plane OB. (u) 16.25

(ii) Time of flight (v) 20

(iii) Verticla height h of P from O (w) 10

(iv) Maximum height from the ground (x)5

(v) Distance PQ (y)2

In a hydraulic jack as shown, mass of the car is $W=800\text{kg},A_1=10{\text{cm}}^2,A_2=10{\text{m}}^2$. The minimum force $F$ required to lift the car is: [Take $g=10{\text{m/s}}^2$]

A wave is propagating along x axis. The displacement of the particles of the medium in z direction at t = 0 is given by $z=e^{-(x+2{)}^2}$ "x" is in metres. At t=1s, the same disturbance is given by $z=e^{-(x-2{)}^2}$. Find magnitude and direction of wave propagation velocity.

A car travels with the speed of $15\text{m/s}$ for $0<t\le 5\text{sec}$, $20\text{m/s}$ for $5<t\le 10\text{sec}$ and $5\text{m/s}$ for $10<t\le 15\text{sec}$. The total distance travelled by the car is

Do we have to change the given quantity in to SI system to find the order of magnitude ?

Like in the case of kilometres and grams

Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity $v_1$. The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is

One mole of an ideal gas at ${25}^{\circ }C$ expands in volume from 1.0 L to 4.0 L at constant temperature. What work (in J) is done if the gas expands against a vacuum $(P_{external}=0)$?

A particle is thrown up with initial speed $V_0$ inside a stationary lift of sufficient height and the time of flight is $T$. Now it is thrown again with same initial speed $V_0$ with respect to the lift. At the time of second throw, lift is moving up with speed $V_0$ and uniform acceleration $g$ upwards (where $g$ is the acceleration due to gravity). The new time of flight will be

A person standing on the top of a cliff 171 ft. High has to throw a packet to his friend standing on the ground 228 ft. Horizontal away. If he throws the packet directly aiming at the friend with speed of 15 ft/s. How short the packet fall??

Find the double derivate of y if $y=x^2$

Does electric current (both dc and ac) flow through the surface of a conductor or through the space in the conductor??

A transverse harmonic wave on a string is described by $y(x,t)=3.0sin(36t+0.018x+\frac{\pi }{4})$
Where x and y are in cm and t in s. The positive direction of x is from left to right.
(a) Is this a travelling wave or a stationary wave?
If it is travelling, what are the speed and direction of its propagation?
(b) What are its amplitude and frequency?
(c) What is the initial phase at the origin?
(d) What is the least distance between two successive crests in the wave?

What is the acceleration of the block?

If ${ϵ}_0$ and ${\mu }_0$ represent the permittivity and permeability of vacuum and $ϵ$ and $\mu$ represent the permittivity and permeability of medium, then refractive index of the medium is given by

A cold soft drink is kept on the balance. When the cap is open, then the weight

A screw gauge with a least count of 0.01 mm is used to measure the diameter of a lead shot. The reading on the pitch scale is found to be 1 mm and the reading on the head scale is 20 divisions. If the screw gauge is free of zero error, what is the volume of the lead shot?

Internal resistance of a $2.1V$ cell which gives a current of 0.2 A through an external resistance of $10\Omega$ is

What information about the nature of image (i) real or virtual, (ii) erect or inverted, do you get from the sign of magnification + or - ?

Two particles having masses $m_1$ and $m_2$ are situated in a plane perpendicular to line AB at a distance of $r_1$ and $r_2$ respectively as shown. Find the moment of inertia of the entire setup about an axis passing through system's centre of mass and perpendicular to line joining $m_1$ and $m_2$.

Angle of glass prism is ${60}^{\circ }$ and refractive index of the material of the prism is 1.414,then what will be the angle of incidence, so that ray should pass symmetrically through prism

Two identical cylindrical vessels with their bases at same level each contains a liquid of density d. The height of the liquid in one vessel is $h_1$ and that in the other vessel is $h_2$. The area of either bases is A. The work done by gravity in equalizing the levels when the two vessels are connected, is

In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be ($g=10m{s}^{-2}$ and radius of earth is 6400 kms)

When radiation of wavelength $\lambda$ is incident on a metallic surface, the stopping potential is 4.8 volts. If the same surface is illuminated with radiation of double the wavelength, then the stopping potential becomes 1.6 volts. Then the threshold wavelength for the surface is

The radius of curvature for a convex lens is 40 cm, for each surface. Its refractive index is 1.5. The focal length will be

[MP PMT 1989]

x - axis is a tangent and y - axis is normal to a parabola whose focus is (2, 3)
The vertex of the parabola is

A light ray from air is incident (as shown in figure) at one end of a glass fiber (refractive index $\mu =1.5$) making an incidence angle of ${60}^{\circ }$ on the lateral surface, so that it undergoes a total internal reflection. How much time would it take to traverse the straight fiber of length 1 km

Show that $AB+\overline{AB}$ is always 1.

A ray incident at an angle of incidence ${60}^{\circ }$ enters a glass sphere of refractive index $\mu =\sqrt{3}$. This ray is reflected and refracted at the farther surface of the sphere. The angle between reflected and refracted rays at this surface is

An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential)energy $E_o$. Its potential energy is

A train approaching a platform at a speed of 54 km/h sounds a whistle. An observer on the platform finds its frequency to be 1620 Hz. The train passes the platform keeping the whistle on and without slowing down. What frequency will the observer hear after the train has crossed the platfrom ? The speed of sound in air = 332 m/s.

A uniform chain of mass M and length L lies on a horizontal table such that one third of its length hangs from the edge of the table. The work done is pulling the hanging part on the table will be

A particle is projected with a velocity of $30m/s$ at two angles of ${30}^{\circ }$and ${60}^{\circ }$ respectively. Then the ratio of their times of flight is

A rod of mass m and length L is kept on two connection points a and b in a uniform magnetic field B. As soon as switch S is closed rod jumps to height H. Charge flown through the battery is

A body stretches a spring by a particular length at the earth's surface at equator. At what height above the south pole will it stretch the same spring by the same length ? Assume the earth to be spherical.

Determine the escape velocity of a rocket on the far side of a moon of a planet. The radius of the moon is $2.64\times {10}^6$m and its mass is $1.495\times {10}^{23}$. The mass of the planet is $1.9\times {10}^{27}$kg, and the distance between planet and the moon is $1.071\times {10}^9$m. Include the gravitational effect of planet and neglect the motion of the planet and the moon as they rotate about their CM.

One gram of ice is mixed with one gram of steam. At thermal equilibrium the temperature of mixture is

A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t = 0 it is at position x = 5 cm going towards positive x-direction. Write the equation for the displacement x at time t. Find the magnitude of the acceleration of the particle at t = 4 s.