
IIT 2003>...............Air is blown into a pipe of radius b,with velocity v. After some time the air stops at the end of the pipe and Bubble grows and detaches from the pipe.If surface tension is S, density is K. Find the ...

prove the follwoing inequality g+k√(gk)<g such that k<g ...

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a person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves at a speed of 2 m/s as it reaches A. The work done by the person on the mass is 3 J. The potential at A is ........ pls g ...

if a cylinder of length l and radius r is hinged at one end and its other end is rotated by an angle θ then find the torque required given young's modulus γ. (please note the cylinder has not been rotated in the vertical pl ...

In HC Verma the reason of surface tension is as follows: A molecule well inside the bulk is experiencing equal forces from all sides.But a molecule on the surfeace experiences some in force in the upward or downward direction ...

why the earth has an elliptical orbit? ...

A uniform bar is pivoted about one end. Initially it is held vertical and allowed to fall. When its angular displacement is 180°, its acceleration is a) g b) 2g c) 3g d) 4g sry i can't confirm the answer ...

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A particle is performing SHM with time period T, about O. It passes through a point P, such that op=x, with a velocity v in direction of P. What is the time elapsed before it returns back at P? ...

two rods of equal length lie with one on xaxis and other along y=x.they intersect at origin.first one moves with velocity v along +y axis and second with velocity=(v/√2)( ij).find velocity of point of intersection of two ...

if there are two points which are at a vertical distance h from each other and under the influence of g then find the equation of a path under which if the body is allowed to fall will take minimum time to travel that distanc ...

Does it always mean that when two bodies are in contact then there should be some contact force between the two? ...

Two identical cubical blocks of side l are placed on a smooth horizontal surface.A sphere of mass m is placed on the two blocks in order to fill in the gap between them.The system is kep at rest.Find the contact force on the ...

A uniform rod of mass M and length l is hinged about the mid point O so that it can freely rotate on OXY plane about the OZ axis. An impulse J is applied at the end of the rod as shown. The angular velocity of the rod, immedi ...

A uniform bar is pivoted about one end. Initially it is held vertical and allowed to fall. When its angular displacement is 180°, its acceleration is a) g b) 2g c) 3g d) 4g sry i can't confirm the answer ...

Calculate the gravitational field and potential at a point on the axis of an uniform circular disc of mass m and radius r at a distance z from the centre of the disc. ...

1. A set of 25 tuning forks is arranged in order of decreasing frequency. Each fork gives 3 beats with succeeding one. The 1st fork is octave of the last . Calculate the frequency of the 1st and the last forks. what does the ...

A uniform cylinder of radius R is spinning about its axis to an angular velocity w0 and then placed in a corner.The coefficient of friction beween the orner walls and the cylinder is k.How many turns will the cylinder accompl ...

Derive the moment of inertia of a rectangular plate having sides a and b about an axis passing through one end and perpendicular to the plate. ...

A cylinder of Radius R lies on a horizontal surface. What is the minimum possible speed with which a stone can be projected so that it is just able to cross the cylinder? ...

A force F1=Aj is applied to a point whose radius vector r1=ai,while a force F2=Bi is applied to the point whose position vector r2=bj.Both radius vectors are determined relative to the origin of coordinates O,i andj are the ...

A simple pendulum made up of light rod of length L and bob of mass m has a spring of force constant k connected to it at a distance x below the pt. of suspension. Find the frequency of vibration of the system. ...

Two particles An and B are located at the origin of a coordinate system.Both the particles start moving at the time t=0 simultaneously.The particle A moves with a speed of 2pi m/s on a circle x2+y2+120y=0,inclockwise directi ...

1. The coordinate of a moving particle in xy plane at any time "t" are (2t,t2) find the velocity of the particle and the acceleration of the particle? 2. After what time the particle will acquire initial velocity from the g ...

1. Two particles A and B start moving simultaneously along the line joining them in the same direction with acceleration 1m/sec2 and 2m/sec2 and speeds 3m/sec and 1m/sec respectively.Initially A is 10 m behind B.What is the m ...

Two rings of masses 'm' (smaller one) and '4m' (bigger one) are placed in the set up as shown in the diagram. The smaller ring is hung through a horizontal frictionless thread. The bigger ring is joined to the smaller ring in ...

Two satellites of the Earth move in a common plane along circular orbits , the radii being r and rΔr ( Δr << r ). What is the time interval b/w their periodic approaches to each other over the min. distance . Take M ...

A block of mass m is connected to another block of mass M by a massless spring of spring constant k. The blocks are kept on a smooth horizontal plane. Initially, the blocks are at rest and the spring is unstretched when a con ...

any logic behind the result given in the soln *Image* thanks ...