IIT-JEE Exam

A loop carrying current I lies in the x-y plane..unit vector k is coming out of the
plane of the paper. the magnetic moment of the current loop is :

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IIT-JEE Other Question

Let f : R  R be defined as f(x) = |x| + |x^2 -1|. The total number of points at which f attains either a local
maximum or a local minimum is A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ï²c is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is
option
(A) more than half filled if ï²c is less than 0.5
(B) more than half filled if ï²c is less than 1.0
(C) half filled if ï²c is less than 0.5
(D) less than half filled if ï²c is less than 0.5