Which of the following has the lowest melting point?

If $y=\sin (\log _e x)$,then $x^2 \frac{d^2 y}{d x^2}+x \frac{d y}{d x}$ is equal to

Among the following,which is water insoluble?

$A$ disc is rotating with an angular velocity $\omega_0$. $A$ constant retarding torque is applied on it to stop the disc. The angular velocity becomes $(\omega_0/2)$ after $n$ rotations. How many more rotations will it make before coming to rest?

Let a random variable $X$ have a Binomial distribution with mean $8$ and variance $4$. If $P(X \leq 2) = \frac{k}{2^{16}}$,then $k$ is equal to:

If $x^2+2px-2p+8>0$ for all real values of $x$,then the set of all possible values of $p$ is