$\frac{\sqrt{5/2} + \sqrt{7 - 3\sqrt{5}}}{\sqrt{7/2} + \sqrt{16 - 5\sqrt{7}}} = ?$

The circle $4x^2 + 4y^2 - 12x - 12y + 9 = 0$

The $IUPAC$ name of $(CH_3)_2CH-CH_2-CH_2Br$ is

The graphs given below depict the dependence of two reactive impedances $X_1$ and $X_2$ on the frequency of the alternating $e.m.f.$ applied individually to them. We can then say that

If $A, B$ and $C$ are mutually exclusive and exhaustive events of a random experiment such that $P(B) = \frac{3}{2} P(A)$ and $P(C) = \frac{1}{2} P(B)$,then $P(A \cup C)$ equals to

$A$ uniform magnetic field $B$ exists in a cylindrical region of radius $10\, cm$ as shown in the figure. $A$ uniform wire of length $80\, cm$ and resistance $4.0\,\Omega$ is bent into a square frame and is placed with one side along a diameter of the cylindrical region. If the magnetic field increases at a constant rate of $0.010\, T/s$,find the current induced in the frame.