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"norm" of the vector represents

If R is radius of the earth , the height above the surface of the earth where the weight of a body is 36% less than its weight on the surface of the earth is

A body is kept on the floor of a topless lift at rest. The lift starts descending at an acceleration 'a' then A) If a > g, the displacement of the body in a time 't' is 1/2 "gt"^2w.r.t ground. B) If a < g, the displacement of the body in a time 't' is 1/2 at^2w.r.t ground

A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross-sectional area is 10 cm^(2) the velocity of water ist m/s and the pressure is 2000 Pa. What is the pressure at another section where the cross-sectional area is 5 cm^(2) ?

Match the technology in column A to its related scientific principle in column B

Find the magnitude and direction of the resultant of two vectors A and B in terms of theirmagnitudes and angle theta between them .

Which principle of conservation can explain the flight of a rocket?

Using orbital radius r and the corresponding periodic time T of different satellite revolving around a planet, what would be the slope of graph of log T rarrlog r ?

ab and bc curves in the figure represent an isothermal and an adiabatic process respectively. Show that at the point b the ratio of the slopes of isothermal and adiabatic curves is equal to C_P/C_V.

A block of mass m is pulled by a constant power P placed on a rough horizontal plane. The coeficient of friction between the block and surface is mu. Find the maximum velocity of the block.

Angular momentum is associated with

Which one of the following statement is a correct statement When two surfacesare coated with a lubricant thenthey

All particles of a body are situated at a distance R from the origin. The distance of centre of mass of the body from the origin is

Imagine a light planet is revolving round a very masstive star in a circular orbit of radius R with a time period of revolutionT. If the gravitiational force of attraction between the star andplanets propostional to R^(-n), then T^(2) is propostional to

The acceleration due to gravity at the latitude 45^(@) on the earth becomes zero if the angular velocity of rotation of earth is equal to

The speed (v) of ripples on surface of water depends upon the surface tension (sigma)density rhoand wave length (lamda) the speed v is proportional to

Given veca+vecb+vecc+vecd=vec0.Show that : the magnitude of (veca+vecc) equals the magnitude of (vecb+vecd)

Three particles of masses 1g, 2g and 3g are at distances of 1 cm, 2 cm and 3 cm from the axis of rotation. Find (i) the moment of inertia of the system and (ii) the radius of gyration of the system.

In the flow ofa viscous liquid over a flat horizontal surface, the velocity is 0.25 cm/sec at 20 mm distance above the flat surface at rest. What is the velocity gradient

A small mass m is moved slowly from the surface of the earth to a height h above the surface. The work done (by an external agent) in doing this is a) mgh, for all values of h b) mgh, for h lt lt R c)1/2 -mgR,for h = R d)-1/2 mgR , for h = R

2kg ice block should be dropped from .x km.height to melt completly. The 8 kg ice should be dropped from a height of

The vector subtraction………………………………bya vector.

How does rise in temperature effect (i) viscosity of gases (ii) viscosity of liquids ?

A ball is projected horizontal with a speed v from the top of a plane inclined at an angle45^(@) with horizontal. How far from the point of projection with the hall strike the plane?

A body of mass 8 kg is moved by a force F=3x N, where x is the distance covered . Initial position is x=2m and final position is x - 10m . If initialy the body is at rest , find the final speed .

In the system as shown infigure, the blocks have masses m_(1) and m_(2), the spring constant is k, coefficient of friction between the block of mass m_(1) and the surface is mu. The system is released with zero initial speed from the position where the spring is in its natural length.

How will you distinguish between a hard boiled egg and a raw egg by spinning it on a table top?

A particle moves along circle of radius ((20)/(pi)) m with constant tangential acceleration. If the speed of the particle is 80 m//s at the end of the second revolution after motion has begun, the tangential acceleration is

Explain why bullets of gun are cylinder in shape ?

{:("Column-I","Column-II"),("A) Thermal expansion","P) Pendulum clock"),("B)" alpha"," beta "," gamma,"Q) Depends, on dimensions Material Temperature"),("C) Bimetallic strip","R) Depends on nature of the material only"),("D) lnvar steel","S) Balance wheel of a watch"):}

The pitch of a screw guage is 1 mm and there are 100 divisions on the circular scale. While measuring diameter of a thick wire, the pitch scale reads 1 mm and 63rd division on the circular scale coincides with the reference. The length of the wire is 5.6 cm. Then

10 litres of hot water at 70^(@)C is mixed with an equal volume of cold water at 20^(@)C. Find the resultant temperature of the water. (Specific heat of water = 4200 J/Kg K)

For a damped oscillation of a particle, show that time taken for the amplitude to drop to half of its initial value =(2m ln (2))/(b), where b is a damping constant.

Law of conservation of linear momentumis applicable even in those cases where:

In slipping the rotational motion is …………….than the translation motion.

The absolute temperature of a gas increases 3 times. The root mean square velocity of the molecules will become

One mole of a gas is made to undergo a process in which its temperature varies as T=aV^(2)-bV^(3) where a and b are constants. Find maximum pressure of the gas.

Two objects of masses m_(1) and m_(2) fall from the heights h_(1) and h_(2) respectively. The ratio of the magntidue of their momenta when they hit the ground is

Find the acceleration of center of mass of the blocks of masses m_(1) and m_(2) (m_(1)gt m_(2)) in Atwood's machine :

Which of the following is not a scalar?

A boy recalls the relation for relativistic mass (m) in terms of rest mass (m_(0)) velocity of particle v, but forgets to put the constant c (velocity of light). He writes m= (m_(0))/((1-v^(2))^(1//2)) correct the equation by putting the missing 'c'.