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Subjective Question
A small rectangular loop of sides 5.0 cm and 3.0 cm carries a current of 7.0 A. It is placed with its longer side parallel to a long straight conductor of length 5.0 m at a distance of 2.0 cm from it. If the current in the long conductor is 20 A, find the net force on the loop. Is the loop attracted towards the long conductor or is it repelled away?

Chemistry

A sugar syrup of mass 214.2 g contains 34.2 g of sugar (C₁₂H₂₂O₁₁). Calculate (i) molality, and (ii) mole fraction of sugar in the syrup.

Mathematics

Passage Based Question
Passage I
Two n x n square matrices A and B are said to be similar if there exists a non-singular matrix P such that

P ^-1 A P = B

If A and B are similar matrices such that det (AB) = 0, then
(a) det (A) = 0 and det (B) = 0
(b) det (A) = 0 or det (B) = 0
(c) A = 0 and B = 0
(d) A = 0 or B = 0

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