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A wooden block of cross sectional area 10cm^(2) remains floating upright in water. The volume of the immersed part of the block is 200cm^(3). If the block is depressed slightly and then released, determine the time period of its oscillation.

1 kg m^(2)s^(-2) =………. g cm^(2) s^(-2)

Using the information given in example 2, find (i) the greatest height reached by the stone above the ground. (ii) the velocity with which it strikes the ground (iii) time taken to reach the maximum height

A bullet moving with speed 150 m/s strikes a tree and penetrates 3.5 cm before stopping. Find the magnitude of its acceleration and the time taken to stop.

The linear density of a wire is 0 . 0 5g * cm^(-1) . The wire is stretched with a tension of4 . 5 xx 10^(7)dyn between two rigid supports . A drivingfrequency of 420 Hzresonatesthe wire. At the next higherfrequency of 490 Hz , another resonance is observed. Find out the length of the wire .

Magnetic confinement of plasma is the basis of ………..

In what time after its motion began, will a particle oscillating according to the equation x = 7 sin (0.5 pit)move from the mean position to the maximum displacement ?

If the centre of mass of three particles of masses of 1kg, 2kg, 3kg is at (2,2,2), then where should a fourth particle of mass 4kg be placed so that the combined centre of mass may be at (0,0,0).

On a planet a body is left freely from a height 2m reaches the ground sqrt(2) seconds. If the length of a simple pendulum is 2m on that planet, its time period is

Temerpature of a furnace is more than 500^(@)C. Discuss a method of measuring the temperature of the furnace with the help of a thermometer graduated up to 100^(@)C.

An object released near the surface of the earth is said to be in free fall. (Neglect the air resistance) Area under velodty-time graph gives………..

An object released near the surface of the earth is said to be in free fall. (Neglect the air resistance) Choose the correct aiternative from the clues given at the end of the statement.a Free fail is an example of accelerated motion.”'(unifornly /non-uniformly^foamy/non-Uniformly)

Discuss the experiment verifying Newton's law of cooling.

A small body of superdense material, whose mass is twice the mass of the earth but whose size is very small compared to the size of the earth, satrts from rest at a height H lt lt R above the earth's surface, and reaches the earth's surface in timet. Then i is equal to

20 J work is required to stretch a spring through 0.1 m. Find the force constant of the spring If the spring is further stretched through 0.1 m, calculate work done

Moment of inertia for point mass is

If co-ordinates ofa moving point at time t are given by x=a (l+sint) and y=a(1-cost), then:

The co-efficient of friction between an insect and bowl is ul and the radius of the bowl is r. The maximum height to which the insect can crawl in the bowl is

Find the time taken for height of water level to fall from 'h' to 'h'in a vessel, if water comes out from a small hole at the bottom

A particle moves in a straignt line with retardation proportional to its displacement. Its loss of kinetic energy for ay displacement x is proportional to:

In adiabatic process, the pressure is increased by 2//3%. Ifgamma=3//2then the volume decreases by nearly –

A body thrown horizontally from the top of a tower touches the ground at a distance of 160 m from the foot of the tower. If the velocity of projection is 40 m/s then the height of the towers is

One mole of an ideal gas (gamma=1.4) is compressed adiabatically , so that its temperature is increased from 27^@ C " to " 35^@C If R = 8.31 J/K/mole then the change in the internal energy of the gas is :

Let V, T, L, K and r denote the speed, time period, angular momentum, kinetic energy and radius of satellite in circular orbit, then (a) V prop r^(-1)(b) L prop r^(1//2) (c) T prop r^(3//2)(d) K prop r^(-2)

The co - ordinates of centre of mass of particle of mass 10, 20 and 30 gm are (1, 1, 1) cm. The position co - ordinates of mass 40 gm which when added to the system, the position of combined centre of mass be at (0, 0, 0) are,

A metal sphere is weighed in a liquid at 0^(@)C and 100^(@)C. At what temperature does it weigh more?

A block of mass m is pushed momentarily along a horizontal surfacewith an initial velocity u. If mu_kis the coefficient of kinetic friction between the object and surface, find the time at which the block comes to rest.

The walls of buildings facing east or west are usually built with hollow bricks. Explnin Why.

At what displacement is the KE of a particle performing SHM of amplitude 10 cm, three times its PE?

A stone is dropped into a well of 20 m deep. Another stone is thrown downward with velocity v one second later. If both stones reach the water surface in the well simultaneously, v is equal to (g=10ms^(-2))

A simple pendulum of length L carries a bob of mass m. when the bob is at its lowest position, it is given that the monimum horizontal speed necessary for it to mvoe in a vertical circle about the point of suspension. When the string in horizontal, the net force on the bob is

The surface area of a soap-bubble is 2.0xx10^(-3) m^(2). How much work will be done in blowing the bubble twice its surface area? Surface tension of soap solution =3.0 xx 10^(-2) "Nm"^(-2).

Two blocks of masses 5 kg and 2 kg are kept in contact with each other on a frictionless horizontal surface. If a force of 14 N is applied on the larger block what is the acceleration of the system ? What is the contact force between the two blocks ?

Potential energy of a particle executing SHM is assumed to be zero at equilibrium position then average KE of the particle is equal to: (where barv is average speed over one oscillation)

The sum of moments of masses of all the particles in a system about the center of mass is

(A) : Work done by gravitational force in moving a body is path independent(R ) : Gravitational force is non conservative force.

The wheels of an airplane are set into rotation just before landing so that wheels do not slip on the ground. If the airplane is travelling in the east. Direction, what should be the direction, what should be the direction of angular velocity vector of the wheels ?

Two wheels are connected by a belt. The radius of the larger wheel is three times that of the smaller one. What is the ratio of the moment of inertia of larger wheel to the smaller wheel, when both wheels have same angular momentum?

A body of mass 100 gm is suspended from a massless spring of natural length 1 m. If the spring stretches through a vertical distance of 20 cm, the potential energy stored in the spring is (g = 10 ms^(-2))

Anaeroplane is flying eastward witha speed of 600 km*h^(-1) wind in blowing southwardwith a speed of 100 km*h^(-1) . Calculate the speed and direction ofthe aeroplane withrespect of the ground.

what is meant by elastic potential energy? Deerive an expression for the elastic potential energy of streched wire. Prove that its elasic energy density is equal to 1/2 x stress x strain

The mass of a planet is half that of the earth and the radius of the planet is one - fourth that of earth . If we plan to send an artificail satellite from the planet , the escape velocity will be ( escape velocity on earth v_e= 11km-s^-1)

A man who wears glasses of power 3D must hold a newspaper at least 25cm away to see the print clearly. How far would the newspaper have to be if he took off his glasses and still wanted clear vision?

The coefficient of kinetic friction between a 20 kg box and the floor is 0.40. How much work does a pulling force do on the box in pulling it 8.0 m across the floor at constant speed? The pulling force is directed 37^@ above the horizontal.

Define Lami's theorem.

Anaeroplane is flying eastward witha speed of 600 kmh^(-1) wind in blowing southwardwith a speed of 100 kmh^(-1) . Calculate the speed and direction ofthe aeroplane withrespect of the ground.