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A quartz vessel contains dry air with pressure 750 mm of Hg at 251 K. The vessel can withstand up to a pressure of 1150 mm of Hg without breaking. To which temperature the air can be heated without breaking the vessel. (Pressure coefficient of air is 0.0036l^(0)C).

The work done against friction in moving a body from A to B is 200 J. If the body is again brought back to A along the same path, the total work done for the trip against friction is

The dimensional formula for heat capacity..............

The measured mass and volume of a body are 22.42g and 4.7cm^3respectively with errors 0.01g and 0.1cc. The maximum error in density is

Three point masses m_(1) =4 kg, m_2 = 3 kg and m_3 = 2 kg,are placed along a straight line along the y-axis as shown in Fig. What is the moment of inertia pf:the system about the x - axis ?

Two particles execute SHM of same amplitude along the same straight line. They cross each other when going in opposite directions, each time their displacement is half of their amplitude. Calculate the phase difference between them.

What should be the velocity of a source of sound so that the apparent frequency to a listener will be twice the actual frequency of the source? Velocity of sound in air = v .

At what speed will the velocity of a stream of water be equal to 20 cm of mercury column? (Taking, g =10 ms^(-2))

A solid sphere of radius r r is rolling on a horizontal surface. The ratiobetween the rotational kinetic energy and total energy.

When the axis of rotation passes through its centre of gravity, then the moment of inertia of a rigid body is .......

A satellite is orbiting the earth lose to its surface. Aparticle is to be projected from the satellite to just escape from the earth. The escape speed from the earth is v_(e). Its speed with respect to the respect to the satellite

A vertical glass capillary tube, open at both ends, contains some water. Which of the following shapes may be taken by the water in the tube?

Air expands from 5 litres to 10 litres at 2 atm pressure. External workdone is

Two wires of different materials, each 2m long and of diameter 2mm, are joined in series to form a composite wire. What force will produce a total extension of 0.9mm. (Y_(1) - 2 xx 10^(11) "pa" & Y_(2) = 6 xx 10^(11) "Pa" )

Assertion : A projectile should have two component velocities in two mutually perpendicular directions . Reason : A body is said to be projectile if it has motion in two dimensions.

A closed organ pipe has length l. The air in it is vibrating in 3rd overtone with a maximum amplitude of A. Find the amplitude at a distance of l//4 from closed end of the pipe

A solid sphere rolls down without slipping from rest on a 30^(0) incline. Its linear acceleration is

A balloon starts from rest, moves vertically upwards with an acceleration g//8ms^(-2). A stone falls from the balloon after 8s from the start. Find the time taken by the stone to reach the ground (g=9.8ms^(-2))

Locate ,the centre of mass of the uniform then L-shaped body as shown in Fig. Assume its thickness to be t and density rho.

From a uniform disc of radius R, a circular disc of radius R/2 is cut out. The centre of the hole is at R/2 from the centre of original disc. Locate the centre of gravity of the resultant flat body.

A body is projected with a velocity 50 "ms"^(-1). Distance travelled in 6th second is [g=10 ms^(-2)]

Which of the following quantities are always negative

Calculate pressure inside a small air bubble of radius 10^(-4)m radius found just below the surface of water (given S.T. of water =0.072 Nm^(-1) and" 1 atm "=1.013 xx 10^(5)Pa).

The root mean square velocity of molecules of a gas whose density is 1.4 kg m^(-3) at a pressure of 76 cm of mercury (specific gravity of mercury=13.6 and g=9.81 ms^(-2) ) is

Two identical hollow sphere roll two inclined planes of same height but of different angles of inclination. Then they reach the bottom

A solid sphere of radius 2.45m is rotating with an angular speed of 10 rad//s. When this rotating sphere is placed on a rough horizontal surface then after sometime it starts pure rolling. Find the linear speed of the sphere after it starts pure rolling.

A particle of mass 200g is attached to an ideal string of length 1.30 m whose upper end is fixed to ceiling. The particle is made to revolve in a horizontal circle of radius 50 cm. The tension in the string is (g = 10 m/s^2)

The length of a vector is _______

Let vec(A) = (hat(i) + hat(j)) and, vec(B) = (2hat(i) - hat(j)). The magnitude of a coplanar vector vec(C) such that vec(A)vec(C) = vec(B)vec(C) = vec(A)vec(B), is given by :

A body is thrown vertically upward from a point 'A' 125 m above the ground. It goes up to a maximum height of 250 m above the ground and passes through 'A' on its downward journey. The velocity of the body when it is at a height of 70 m above the ground is

A body 'x' with a momentum 'p' collides with another identical stationary body 'y' one dimensionally. During the collision 'y' gives an impulse 'J' to the body 'x'. Then the coefficient of restitution is

By sucking through a straw a student can reduce the pressure in his lungs to 750 mm of Hg (density =13.6g//cm^(3)).Using the straw , he can drink water from a glass upto a maximum depth of ……

A bullet fired into a fixed targe loses half of its velocity in penetrating 15 cm. How much further it will penetrate before coming to rest?

(A): Air quickly leaking out of a baloon becomes cool (R ): The leaking air undergoes adiabatic expansion.

Arrange the following liquids in increasing order of surface tension .Water ,Mercury ,Soap solution.

How much will the length of a simple pendulum be if its time period is 3s?

Equation of a projectile is given by y = Px - Qx^(2) where P, Q are constants, the ratio of maximum height to Range of the projectile is

The velocity acquired by a body in falling to the surface of earth from a point at a height equal to the radius of the earth is approximately:

The gravitational potential energy of the Moon with respect to Earth is

A body stetches a spring by a certain amount at the equator, Assuming earth to be a perfect sphere of radius R, g the acceleration due to gravity on the surface of the earth and omega, the angular speed of the earth, the height at which it will stretch the spring by the same amount at the poles is

In oblique projection, maximum height attained by the projectile is

What will be acceleration due to gravity at the earth's surface of latitude 30^(@) ?

In he process PV^2= constant, if temperature of gas is increased