Physics Test 29...

The amount of heat energy required to freeze the given water to ice at 0^∘C

Two containers P and Q of similar size and shape is made of different material. If same quantity of ice takes t₁ and t₂ time to melt in the containers P and Q respectively.

The ratio of their thermal conductivities.

A ball of thermal capacity 10cal/ ^∘C is heated to the temperature of the furnace.

The ball is then transferred into a vessel containing water. The water equivalent of the vessel and the contents is 200g.

The temperature of the vessel and its contents rises from 10^∘C to 40^∘C.

What is the temperature of the furnace?

The pressure at the bottom of a tank of water is 3P where P is the atmospheric pressure.

The pressure at the bottom of the tank if the water is drawn out till the level of water is lowered by one-fifth.

A 10 kg object is pushed with a net force of 50 N . What is its acceleration?

Bulk modulus of water, 2100MPa

Density of water, ρ = 1000kgm⁻³

Speed of sound in water

A current I = 10sin⁡ (100πt) A is passed in first coil, which induces a maximum EMF of 5πV in second coil.

The mutual inductance between the coils is

The binding energy of a satellite of mass m in an orbit of radius r is (R = radius of the earth, g = acceleration due to gravity)

An infinitely long thin cylindrical shell of radius R carries a uniform surface mass density σ. It is surrounded by a coaxial, infinitely long, solid cylinder of radius 2R whose volume mass density varies with radial distance as ρ(r) = αr for R ≤ r ≤ 2R (α is a positive constant). A particle of mass m is released from rest at a point P located at r = 3R (outside both). If the particle just grazes the outer surface of the solid cylinder (i.e., reaches r = 2R with zero speed), find the required value of σ in terms of α and R.

A point mass is placed at a distance a from one end of a rod of mass M and length l on the line which passes through the central axis of the rod. The potential energy of the system.