Sprain is caused due to stretching of

Two sources of sound placed close to each other are emitting progressive waves given by $y_1 = 4 \sin(600\pi t)$ and $y_2 = 5 \sin(608\pi t)$. An observer located near these two sources of sound will hear:

$K_1, K_2$ and $K_3$ are the equilibrium constants of the following reactions $(I), (II)$ and $(III)$,respectively :
$(I) \ N_2 + 2O_2 \rightleftharpoons 2NO_2$
$(II) \ 2NO_2 \rightleftharpoons N_2 + 2O_2$
$(III) \ NO_2 \rightleftharpoons \frac{1}{2}N_2 + O_2$
The correct relation from the following is

$74.5 \ g$ of a metallic chloride contain $35.5 \ g$ of chlorine. The equivalent weight of the metal is

The potential energy of a particle of mass $m$ is given by,$U(x) = \begin{cases} E_0 & 0 \leqslant x \leqslant 1 \\ 0 & x > 1 \end{cases}$. $\lambda_1$ and $\lambda_2$ are the de-Broglie wavelengths of the particle when $0 \leqslant x \leqslant 1$ and $x > 1$ respectively. If the total energy of the particle is $2 E_0$,the ratio $\frac{\lambda_1}{\lambda_2}$ will be

$y=e^{a \sin ^{-1} x} \Rightarrow (1-x^2) y_{n+2}-(2 n+1) x y_{n+1}$ is equal to