A plane is indined at an angle of 30° with horizontal. The magnitude of component of a vector \(\overset\rightarrow{A}\)=-10\(\hat{k} \) perpendicular to this plane is (here z-direction is vertically upwards

A boy aims a gun at a target from a point, at a horizontal distance of 100 m. if the gun can impart a horizontal velocity of 500 ms^-1 to the bullet, the height above the target where he must aim his gun, in order to hit it is (Take g = 10 ms=^-2)

A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is

According to kinetic theory of gases the r.m.s. velocity of the gas molecules is directly proportional to

The displacement of an object at any instant is given by x = 30 + 20 t², where x is in metres and t in seconds. The acceleration of the object will be

Two bodies of masses m and 4 m are moving with equal kinetic energy. The ratio of their linear momenta is

Two particles P and Q describe SHM of same amplitude a and frequency v along the same straight line. The maximum distance between two particles is √2 a. The phase difference between the particles is

A particle executing simple harmonic motion along y-axis has its motion described by the equation y = A sin (ωt) + B. The amplitude of the simple harmonic motion is

A simple pendulum of frequency n is taken upto a certain height above the ground and then dropped along with its support so that it falls freely under gravity. The frequency of oscillations of the falling pendulum will

'Parsec' is the unit of _____.

The SI units of the universal gravitational constant G are _____.

The scale on a steel meter rod is calibrated at 20°C. What will be the error in the reading of 50 ern at 27°C? Take, a = 1.2 x 10.5 °C^-1

If there are no heat losses, the heat released by the condensation of x gram of steam at 100°C into water at 100 °C can be used to convert y gram of ice at 0 °C into water at 100 ⁰C. Then the ratio y : x is nearly

A spring of force constant k is cut into two equal parts. The force constant of each part is

A wire suspended vertically from one end, is stretched by attaching a weight 200 N to the lower end. The weight stretches the wire by 1 mm. The energy gained by the wire is

If a particle is fired vertically upwards from the surface of earth and reaches a height of 6400 km, the initial velocity of the particle is (assume R = 6400 km and g = 10 ms^-2)

Application of Bernaull's Theorem can be seen in

A cylindrical vessel is filled with water upto height H. A hole is bored in the wall at a depth h from the free surface of water. For maximum range, h is equal to

The mass of water rises in capillary tube of radius R is M. The mass of water that rises in tube of radius 2R is

A block of mass m is placed on a smooth inclined plane of inclination \(\theta\) with the horizontal. The force exerted by the plane on the block has a magnitude _______.

An engine has an efficiency of 1/6 when the temperature of sink is reduced by 62°C, its efficiency is doubled, temperature of the source is _______.

The S.l. unit of mechanical equivelent of heat is _______.

An ideal heat engine exhosting heat at 27°C is to have 25%efficiency. It must take heat at: _______.

The internal energy of an ideal gas depends on: _______.

The range of strong nuclear force is about