A light spring of length l and spring constant k is placedd vertically on a table . A small ball of mass m falls on it . The height h from the surface of the table at which the ball will have the maximum velocity is 

Infinite number of masses each of 1.5 kg are placed along a straight line at the distances of 1 m, 2 m , 4 m ,8 m ,….. from a point O on the same line . what will be the magnitude of gravitational field at O ?

A large numb er of liquid drops each of radius r coalesce to form a single drop of radius R .The energy released in the process is converted in to the kinetic energy of the big drop so formed . The speed of the big drop is (given surface tension of liquid is T, density of liquid is p)

How does the electric field strength vary when we enter a uniformly charged spherical cloud ?

A light pointer is fixed to one prong of a tuning fork is set into oscillations and the plate is allowed to fall freely . 8 complete oscillations are formed on the first 10 cm length of the plate . What is the frequency of the tuning fork ?

Statement I  In pressure temperature (p-T) phase diagram of water , the slope of the melting curve is found to be negative 

Statement II Ice contracts on melting 

A spring block system ungergoes vertical oscillation above a large horizontal metal sheet with uniform positive charge . The time period of the oscillation is T . If the block is given a charge Q , its time period of oscillation will be 

the number of turns in the primary and secondary coils of a transformer are 1000 and 3000 , respectively . If 80 V AC is supplied to the primary coil of the transformer , then the potential difference per turn of the secondary coil would be 

A rear mirror of a vehicle is cylindrical having radius of curvature 10 cm . the length of arc of curved surface is also 10 cm . If the eye of the driver is assumed to be at a large distance from the mirror , then the field of view in radians is 

The magnification produced by an an astronomical telescope for normal adjustment is 10 and the length of the telescope is 1.1 m . The magnification when the image is formed at least distance of distinct vision (D = 25 cm) is 

An interference pattern is produced using young’s double slit experiment with sunlight as source . Assume the wavelength of blue light and red light roughly as 400 nm and 600 nm , respectively . As we move away from the centre , at which minimum order of blue will we observe a blue fringe superposing on a red fringe ?