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The rate of flow of a liquid through a capillary tube of radius r is under a pressure difference of P. Calculate the rate of flow when the diameter is reduced to half and the pressure difference is made 4 P?

A 1kg ball moving at 12ms^(-1) collides headon with a 2kg ball moving in the opposite direction at 24 m/s. If the coefficient of restitution is 2/3,then the energy lost in the collision is

The time period of a seconds pendululm is measured repeatedly for three times by two stop watches A, B . If the readings are as follows {:("S.NO.", A, B)(1, 2.01 "sec", 2.56 "sec"),(2, 2.10 "sec", 2.55 "sec"),(3, 1.98 "sec", 2.57"sec"):}

Ratio of adiabatic bulk modulus to isothermal bulk modulus is

The limiting friction between two bodies in conact is independent of

A body is projected with a velocity 60m/s at an angle 30^(@) with horizontal . It's displacement after 2sec is

The excess pressure in an bubble just below the water surface is (surface tension of liquid is 72 dyne /cm and atmosphericl pressure =1.013xx10^(5)N//m^(2), Radius of bubble =0.1 mm)

A space-ship is launched into a circular orbit close to the earth's surface. What additional velocity should now be impartedto the space-ship in the orbit to overcome the gravitational pull. [Radius of earth 6400 km and g = 9.8 m//s^(2)]

A constant power .P. is applied to a particle of mass .m.. What is the distance travelled by the particle when its velocity increases from v_(1) to v_(2).

State aristotelian of motion what is the flaw in this law ?

In the previous question, a) Work is done by the gas b) Work is done on the gas c) Heat is absorbed by the gas d) Heat is given out by the gas

A steel ball of mass 0.1 kg falls freely from a height of 10m and bounces to a height of 5.4m from the ground. If the dissipated energy in this process is absorbed by the ball, the rise in its temperature is (specific heat of steel = 460 JKg^(-1)K^(-1)) (g=10ms^(-2))

A block of mass 3kg which is on a smooth inclined plane making an angie of 30^(@) to the horizontal is connected by cord passing over light frictionless pulley to second block of mass 2kg hanging vertically. What is the acceleration of each block and what is the tension of the cord ?

A metal wire is held at the two ends of rigid supports at 20^(@)C, the wire is just taut. The speed of transverse wave in this wire at 25^(@)C will be (alpha=16xx10^(-6)//C,Y=9xx10^(11)N//m^(2), density of metal =5gm//c.c)

The temperature inside a refrigerator is t_(2)^(@)C . The amount of heat delivered to the room for each joule of electrical energy consumed ideally will be

(A) : A sphere cannot roll on a smooth inclined surface.(R ) : For a smooth inclined surface force of friction is equal to zero.

Three identical spheres , each of mass M , are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 2 m . Taking their point of intersection as the origin , find the position vector of centre of mass

The rotation of earth about its axis is………..

''Technological advancements owe a great deal to the developments in physics'' - Explain.

A ray of light is incident at an angle of 60^@ on asqrt3cm thick plate (mu=sqrt3) The shift in the path of the ray as it emerges out from the plate

A calorimeter of water equivalent 100 grams contains 200 grams of water at 10^@C . A solid of mass 500 grams at 45^@Cis added to the Calorimeter. If equilibrium temperature is 25^@Cthen, the specific heat of the solid is

A man standing still finds rain pouring at an angle 30^(@) with vertical , when he starts walking forward at a speed of 4 kmph it appears to him that rainpours vertically down . When he runs at riple the speed, what is the angle at which rain appears to pour?

The displacement of particle is represented by the equation y = sin^(3)omegat. The motion is

A needle of 12 cm long is a on the surface of water. The extra force required, over its weight, to take it out from the surface of water is (surface tension = 72 dyne cm^(-1))

A body of mass 10gm moving with velocity 5ms^(-1) collides with another body of mass 15gm moving with 3ms^(-1) in the same direction. After collision if they stick and move together, the loss of kinetic energy of the system is

Let V and E represent the gravitational potential and field at a distance r from the centre of a uniform solidx sphere. Consider the two statements. A) The plot of V against r is discontinuous B) The plot of E against r is discontinuous

Define momentum ? Give its unit .

A bullet strikes a wooden block resting on a frictionless horizontal surface and stops in it. Later the combined system moves. In this case (i) Only KE is conserved (ii) Only momentum is conserved (iii) Both KE and momentum are conserved

The value of acceleration due to gravity at earth's surface is 9.8 ms^(-2). The altitude above its surface at which the acceleration due to gravity decreases to , is close to: (radius of earth = 6.4 xx 10^(6) m)

A homogeneous cylinder of mass M and radius R is pulled on a horizontal plane by horizontal force F acting through its mass centre. Assuming rolling without slipping what is the angular acceleration of the cylinder ?

If the linear density of rod of length 3 m varies as lambda=2+x then the distance of centre of gravity of the rod is………….

For ideal gas, absolute zero temperature is 273.15^(@)C.true or false

Consider a thin uniform circular ring rolling down in an inclined plane without slipping. Compute the linear acceleration along the inclined plane if the angle of inclination is 45'

The velocity of a motor boat with respect to still water is 7ms^(-1) and velocity of water in a river is 3ms^(-1) . When the boat starts moving upstream a floatwas dropped from it . The boat travels 4.2 km and returns and reaches the float. The time taken by the goat to cath the float is

Two SHM are represented by the equations y_(1) = 10 sin(3pi t + pi//4) and y_(2) = 5[sin 3pi t + sqrt(3) cos 3pi t]. Their amplitudes are in the ratio

(I) Two vecotrs which are perpendicular to each other are called Orthogonal vectors. (II) To find resultant of two of addition. Which statement is is correct?

An organ pipe of cross-sectional area 100 cm^(2) resonates with a tuning fork of frequency 1000 Hz in fundamental tone. The minimum volume of waterto be drained so the pipe again resonates with the same tuning fork is (Take velocity of wave = 320 m s^(-1))

On a temperature scale Y, water freezes at -160 ""^(@)Y and boils at -50 ""^(@)Y. On this Y scale, a temperature of 340K is

(A) : Dimensionless quantities have no units. (R) : Unitless quantities have no dimensions.

The first overtone of an open organ pipe beats with the first overtone of a closed organ pipe with a beat frequency 2.2 Hz . The fundamental frequency of the closed organ pipe is 110 Hz, find the lengths of the pipes . Take velocity of sound= 330 m//s.