In a $\triangle ABC$,$a^2 \sin 2C + c^2 \sin 2A$ is equal to (in $\Delta$)

The force required to move a body up a rough inclined plane is double the force required to prevent the body from sliding down the plane. If the angle of inclination of the plane is $60^{\circ}$,then the coefficient of friction is

The binomial coefficients which are in decreasing order are

In a mass spectrometer used for measuring the masses of ions,the ions are initially accelerated by an electric potential $V$ and then made to describe semicircular paths of radius $R$ using a magnetic field $B$. If $V$ and $B$ are kept constant,the ratio $\left( \frac{\text{charge on the ion}}{\text{mass of the ion}} \right)$ will be proportional to

On electrolysis of aqueous solution of $KI$ in presence of platinum electrodes,which of the following statements are correct?
$(a)$ Hydrogen gas is released at cathode
$(b)$ Oxygen gas is released at anode
$(c)$ $pOH$ of solution decreases
$(d)$ There is deposition of potassium at cathode

The motion of a particle along a straight line is described by the equation $x = 8 + 12t - t^3$,where $x$ is in $m$ and $t$ is in $s$. The retardation of the particle when its velocity becomes zero is ....... $m s^{-2}$.