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The escape speed of a projectile on the earth’s surface is 11.2 km s^(–1) . A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.

The atomic mass of carbon (diamond) is 12.01 U and density is 2.22xx10^(3)kg m^(-3),the raius of the carbon atom is

Find the angle between force vec(F) =(3hat(i)+4hat(j)-5hat(k)) unit and displacement vec(d)=(5hat(i)+4hat(j)+3hat(k)) unit , Also find the projection of F on d .

A ball whoes K.E is K is projected at an angle 45° to the horizental.The K.E of the ball at the hightest point of flight is

A travelling in a stretched string is described by the equation y-A sin (kx - omegat). The maximum practicle velocity is

A boat moves relative to water with a velocity which is a times less than the river flow velocity . At angle of the stream direction must the boat move to minimise drifting?

A ball rolls off the top of a stairway with a horizontal velocity of magnitude 150 cm/sec. The steps are 20 cm high and 20 cm wide. Which step will the ball hit first?

A loud of 10 kg stretches a wire 5 m long und 1 mm diameter by 0.3 mm. Find Young.s modulus of the material of the wire and energy stored in the wire.

A mass of 3.9kg suspended from a string of length 0.5m is at rest. Another body of mass 0.1 kg moving horizontally with a velcocity 200 ms^(-1) strikes and stricks to it. The maximum angle through which the system swings just before the tension in the string becomes zero is

What is meant by 'Molecular range' ?

Ratio of the radius of a planet A to that of planet B is 'r'. The ratio ofacceleration due to gravity on the surface of the two planets is x. The ratio of the escape velocities from the two planets is

A lead shot of 1 mm diameter falls through a long column of glycerin. The variation of its velocity v with distance covered s is represented by:

A pipe having an internal diameter 'D' is connected to another pipe of same size. Water flows into the second pipe through 'n' holes, each of diameter 'd'. If the water in the first pipe has speed 'v' the speed of water leaving the second pipe is

On a smooth inclined plane a body of mass M is attached between two springs. The other ends of the springs ar fixed to firm supports. If each spring has a force constant k, find the period of oscillation of the body.

If K and sigma respectively are the thermal and electrical conductivities of a metal absolute temperature T, then:

Bulk modulus is sometimes reffered to as

The displacement of a body moving along a straight line is given by : S = bt^(n),where 'b' is a constant and 't' is time. For what value of 'n' the body moves under the action of constant force ?

A satellite is revolving near the earth.s surface. Its orbital velocity depends on its mass .m. as

A person is standing on a platform rotating with an angular speed of rps. With streched hands carrying weights On drqwing his close to the body the M.I. of the system changes from 8 "kgm"^(2) to "4kgm"^(2) The increase in his energy nearly is

A mass of gas is first expanded isothermally and then compressed adiabatically to its original volume. What further simplest operation must be performed on the gas to restore it to its original state?

Pick out the two scalar quantities in the following list : force , angular momentum , work current , linear momentum , electric field, average velocity , magnetic moment , relative velocity.

A missile fired from a launcherr explode in mid air, its total

In old age arteries carrying blood in the human body become narrow resulting in an increase in the blood pressure. This follows from:

The velocity 'v' reached by a car of mass 'm' at certain distance from the starting point driven with contatant power 'P' is such that

The lines of forces act at a common point is called as

Consider a circular road of radius 20 meter banked at an angle of 15 degree. With what speed a car has to move on the turn so that it will have safe turn?

In a hydel power project, 2000kg of water passes through the turbine every second. Water is falling from a height of 240m above ground. If the power output is 6.4 Mw, the efficiency of the power house is (g= 10 ms^(-2))

A certain number of spherical drops of a liquid of radius R coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then:

A cyclist speeding at 18 km/h on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The co-efficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

At time t=0 one particle is at maximum positive amplitude and the other particle is at half of the positive amplitude. Their amplitudes and time periods T are same. If they are approaching, find the time by which they cross each other:

A thin square steel plate with each side equal to 10 cm is heated by a blacksmith. The rate of radiated energy by the heated plate is 1134 W. The temperature of the hot steel plate is (Stefan's constant sigma^(-) = 5.67 xx 10^(-8) watt m^(-2) k^(-4), emissivity of the plate=1 )

The M.I of a uniform thin circular ring about an axis through its centre and normal to the plane of ring is I. Its M.I about a tangent in its plane is equal to

A Carnot's engine extract 1.5 xx 10^(3) kilocalorie of heat from a reservoir at 627^(@)C and exhaust it to a sink maintained at 27^(@)C. How much work is performed by the engine ?

Of the following quantities, which one has dimensions different from the remaining three?

The respective speeds of five molecules are 2, 1.5, 1.6, 1.6 and 1.2 km/sec. The most probable speed in km/sec will be

Volume of the liquid flowing per second through a pipe of diameter d is V. At a point where the radius is d, the velocity of flow is

The two forces 2sqrt2Nand xN are acting at a point their resultant is perpendicular to hatx Nand having magnitude of sqrt6 N . The angle between the two forces and magnitude of x are

The set of quantities which cannot form a group of fundamental quantities in any system of measurement is

The magintude of velocity of projectile and time are related as(v^(2))/(a^(2))-(t- (b)/(a))^(2)=(c^(2))/(a^(2)) then {:(" Column-I","Column-II"),("A) Range","P) C"),("B) Height","Q) "2b//a),("C) Time of flight","R) " 2bc//a),("D) Velocity at maximum height","T) "ab//c):}

(A) : In summer, the pendulum clock runs slow. (R) : As temperature increases, length of the pendulum decreases and time period decreases

An iceberg of density 900 kg//m^(3) is floating in water of density 1000 kg//m^(3). The percentage of volume of ice cube outside the water is

How many disintegrations per second make up 1 curie ?

A long capillary tube of radius 0.2mm is placed vertically inside a beaker of waterIf the surface tension of water is 7.2 xx 10^(-7)N/m and the angle of contact between glass and water is zero. Then determine the height of the water column in the tube

If the ends of rod of length L have velocities barV_(A) and barV_(B), find the velocity of mid point of the rod.

A rod weight W is supported by two parallel knife edges A and B is in equilibrium in a horizontal position. The knives are at a dist once d from each other. The center of mass of the rod is at distance x from A. The normal reaction on A is

Two masses m_(1)kg and m_(2)kg passes over a pulley. Find the ratio of the masses m_(1) and m_(2) so that string passes over the pulley will just start slipping over is surface. The friction coefficient between the string and pulley surface is 0.2

Statement A: Energy is the cause for doing work and work is the effect Statement B: Energy is a scalar but power is a vector quantity