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What are the medical problems an astronaut will face when in space for long time while orbiting around a planet in a satellite.

If velocity of light C, acceleration due to gravity g and density d are the fundamental quantities in a system of measurement, then mass has

A body is dropped from the top a towar 150 m, and sumultaneously, another body is dropped from rest from rest from a point 100m above the gorund. What is their differnece in heightafter they have fallan (i) 2 s(ii) 3s.how does the difference inheight vary with time ? take g 10 ms^(-2)

What will be the velocity of sound in a perfectly rigid rod ? Given reason.

A steel wire 4 m in length and 2.4*10^(-7)m^2in cross - section is stretched by a force of 36N . Calculate the stress and strain .

Two particles execute SHM of same amplitude and frequency on parallel lines. They cross each another when moving in opposite directions each time their displacement is half their amplitude. What is the phase difference between them ?

If a tunnel is cut at any orientation through earth, then a ball released from one end will reach the other end in time (neglect earth rotation)

A man is standing on a spring platform. Reading of spring balance is 60 kg wt. If man jumps outside the platform, then the reading of the spring balance

Chossethe correctaltarnatives

A uniform rod AB of mass m and length l is suspended by two massless and inextensible strings AC and BD whose ends C and D are fixed as shown. Find the tension in the string BD immediately after the string at A is cut.

Assertion : In radiation, heat transfers in form of electromagnetic waves. Reason : For electromagnetic waves medium is not required.

When .n. number of particles of masses m, 2m, 3m, …….. nm are at distances x_(1)=1, x_(2)=2, x_(3)=3, ……………x_(n) =n units respectively from origin on the x-axis, then find the distance of centre of mass of the system from origin.

The work done in carrying a body from A to B is 20 J and from B to C is 15 J. The work done in moving the body from A to C assuming the force involved in all the cases is conservative force is

Power applied to a particle varies with time as P= (3t^(2)-2t+1) wait, where t is an second. The change in its kinetic energy between time t= 2 sec and t= 4 sec. is

A disc of mass m and radius R moves in the x-y plane as shown If the angular momentum of the disc about the origin O at the instant shown is x/2"mR"^(2)"w" then find x. [omega=(V)/(R )]

The length of a brass wire is 1m. The strain produced by a load is 0.001. The change in its length is

There arefour forces acting at a point O produced by strings as shown in which is at rest. Find the forces F_(1) and F_(2) .

A particle of-mass m moves along a circular path of radius r with velocity v. What is its instantaneous angular momentum about apoint on the plane of the orbit at a distance x from the centre of the axis of rotation.

A horizontal force F is applied on a riing of mass m_(1)constrained to move on a horizontal smooth wire the hanging mass m_(2) is constant angle with

When the temperature of a black body increases, it is observed that the wavelenght corresponding to maximum energy changes from 0.26 mum to 0.13 mum. The ration of the emissive power of the body at the respective temperature is

A man turns on rotating table with an angular speed omega. He is holding two equal masses at arms length. Without moving his arms, he just drops the two masses. How will his angular speed change ?

As astronaut tries to fill ink in an ink pen in an aritficial satellite. The ink

A cylinder of capacity 20 liters is filled with hydrogen gas . The total average K.E. of translatory motion of its molecules is 1.5 xx10 _(5) J. The perssure of hydrogen in the cylinder is ....... .

When a mass is suspended from the end of a wire the top end of which is attached to the roof of the lift the extension is 'e' when the lift is stationary. If the lift moves up with a constant acceleration g/2 the extension of the wire would be ....

For object moving on circular path centripetal force (F) depend on mass (m), velocity (v) and radius (r). Derive equation of centripetal force F.

A projectile is thrown in the upward direction making an angle of 60^(@) with the horizontal direction with a velocity of 147 ms^(-1). Then the time after which its inclination with the horizontal is 45^(@), is:

A sphere is rolled on a rough horizontal surface. It gradually slows down and stops. The force of friction tries to

2 Kg of water of 60^(@)C is mixed with 1 kg of water at 30^(@)C kept in a vessel of heat capacity "220 J K"^(-1). The specific heat of water is "4200 J Kg"^(-1)K^(-1). Then the final temperature is nearly.

What is the minimum possible temperature on the basis of Charle's Law.

A motor is pumping water with a velocity of 20 ms^(-1) from a pump of area of cross section 10cm^2. Its average power is,

A cylinder of mass 10 kg and radius 15 cm is rolling perfectly on a plane of incli-nation 30°. The coefficient of static friction mu_(k) = 0.25. If the inclination 9 of the plane is increased, at what value of theta does the cylinder begin to skid, and not roll perfectly?

A flywheel of mass 400 kg and one metre radius makes 600 rev/minute. Assuming its mass to be concentrated at the rim, calculate the angular velocity, M.I. and energy of the flywheel.

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere ? (Given : Mass of oxygen molecule (m) = 2.76 xx 10^(-26) kg , Boltzmann's constant k_B = 1.38 xx 10^(-23) JK^(-1) )

A man is travelling at 10.8 kmph in a topless car on a rainy day. He holds an umbrella at an angle of 37^(0) with the vertical so that he does not wet. If rain drops falls vertically downwards, what is the rain velocity ?

If the potential energy of a gas molecule is U= M/(r^6) - N/(r^12) M and N being positive constants, then the potential energy at equilibrium must be

When a body slides down an inclined plane with coefficient of friction as mu_(k) then its acceleration is given by

An object suspended from a spring exhibits oscillations of period T. Now the spring is cut in two halves and the same object is suspsended with two halves as shown in figure. The new time period of oscillation will become

Assertion : A force of 1kg f produces an acceleration of 1m//s^(2) in a body of mass 1kg Reason : It follows from a = f//m .

A solid sphere of mass m and radius r is released from rest at the top of smooth inclined plane of inclinationtheta. The ratio of acceleration when it rolls down the plane without slipping and when it slipping down the plane is

Two bodies of masses m_1 and m_2 are separated by certain distance. If vecF_12 is the force on m_1 due to m_2 and vecF_21 is the force on m_2 due tom_1 , then

A vectors 3hat(i) + 4hat(j) rotates about its tail through an angle 37^(@) in anticlockwise direction then the new vector is

In a flywheel , most of the mass is concentrated at the rim . Why ?

When a steady torque is acting on a body, the body:

Two identical spheres P and I lie on a smooth horizontal circular groove at opposite ends of diameter. Pis projected along the groove and at the end of time t, impinges on Q. If e is coefficient of restitution, the second impact will occur after a shortest time of

(A) : Ampere is a standard unit of electric current. (R) : It is independent of physical conditions like temperature, pressure etc.