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In tan A position two short bar magnets of magnetic moments in ratio of sqrt3 : 1 are placed at same distance respectively . If the deflection produced for the first magnet be 60^(@) then what will be deflection for second magnet ?

Through a conducting coil along its axis, a short bar magnet is rapidly pulled with uniform velocity with, with its north pole entering the coil first. Plot the variation of (i) flux, (ii) induced current and (iii) power dissipated in coil with time.

The childern are trying to shoot a marble into a marble into a small box using a spring loaded gun that fixed on a table and shoots horizontally from the edge of the table. The centre of the box is a horizontal distance 5m from the edge of the table. The first child compresses the spring a distance 2cm and finds that the marble falls short of its target by a horizontal distance 3m . By what distance x should the second child compress the spring to score a direct hit on the box?

Consider the shown uniform solid insulating sphere of mass m with a short and light electric dipole moment p hat(j) embedded at its centre placed at rest on a horizontal surface. An electric field E hat(i) is suddenly switched on in the region such that the sphere starts ro/ling without sliding. Speed of the sphere when the dipole becomes horizontal for the first time is given as:

Directions (For the items which follow) : In this Section you have Eight short passages. After each passage, you will find several questions based on the passage. First, read a passage, and then answer the questions based on it. You are required to select your answers based on the contents of the passage and opinion of the author only. PASSAGE - I Popular illusions about birds extend further than the use of the word 'egg-shape' that would suggest that all eggs are alike. For instance, there is the popular idea that owls hoot. Actually, only very few owls hoot arid these include the common brown or tawny wood owl. The white barn owl screeches, the little owl has a wailing cry, the long-eared owl barks, and the short-eared owl snorts ! Another mistaken idea is that all ducks 'quack', because the common farmyard duck is a domesticated form of the common wild duck or mallard that quacks. Actually most wild ducks call with whistles. The impression created by repeating the terms, 'popular' and 'common' are