Find the mutual inductance of two concentric coils of radii `a_(1)` and `a_(2)(a_(1) lt lt a_(2))` if the planes of the coils are same.

Find the mutual inductance of two concentric coils of radii a_(1) and a_(2)(a_(1) lt lt a_(2)) if the planes of the coils are perpendicular.

Find the mutual inductance of two concentric coils of radii a_(1) and a_(2)(a_(1) lt lt a_(2)) if the planes of the coils make an angle theta with each other.

Let a_(1),a_(2),a_(3),a_(4),a_(5) be a five term geometric sequence satisfies the condition 0 lt a_(1) lt a_(2) lt a_(3) lt a_(4) lt 100 , where each term is an integar . Then the number of five terms in geometric progression are

Let a_(1),a_(2),a_(3),a_(4),a_(5) be a five term geometric sequence satisfies the condition 0 lt a_(1) lt a_(2) lt a_(3) lt a_(4) lt 100 , where each term is an integar . Then the number of five terms in geometric progression are

Why is K_(a_(2)) lt lt K_(a_(1)) for H_(2)SO_(4) in water ?

Prove that, if f(x) = a_(0) + a_(1)x^(2) + a_(2)x^(4) and 0 lt a_(0) lt a_(1) lt a_(2) , then f(x) has only one minima at x = 0.

If the function f(x) is defined as : f(x) =a_(0) +a_(1)x^(2)+…..+ a_(10)x^(20) where 0 lt a_(0) lt …. < a_(10) . Then f(x) has in RR :

If a_(1) lt ( 257)^(1//4) -4 lt b _(1) , then (a_(1) , b_(1) ) ( a_(1) , b_(1)) is

If a_(1) lt ( 28)^((1)/( 3)) - 3 lt b_(1) , then (a_(1) b_(1)) ( a_(1) , b_(1)) is