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A particle moves along the plane trajectory y(x) with constant speed v. Find the radius of curvature of the trajectory at the point x = 0 if the trajectory has the form of a parabola y = ax2where 'a' is a positive constant.
A block of mass m compresses a spring of stiffness k through a distance ℓ/2 as shown in the figure. If the block is not fixed to the spring, the period of motion of the block is :- (Assume that collision between block and verticle wall is perfectly elastic)
The PE of a 2 kg particle, free to move along x-axis is given byThe total mechanical energy of the particle is 4 J. Maximum speed (in ms–1) is :-
Four solid rigid balls each of mass m and radius r are fixed on a rigid-ring of radius 2r and mass 2m. The system is whirled about 'O' as shown. The radius of gyration of the system is :
A tiny sphere of mass m and density x is dropped in a jar of glycerine of density y. When the sphere aquires terminal velocity, the magnitude of the viscous force acting on it is :
A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will :-
(in rad/sec)
An ideal gas expands isothermally from a volume V1 to V2 and then compressed to original volume V1 adiabatically. Initial pressure is P1 and final pressure is P3. The total work done is W. Then :-
In the given arrangement of logic gates, output Y is :
Maximum energy of lymen series for a H-like atom is 36R0, then the wavelength of second line of the given series will be :
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