AIPMT 2009 Preliminary Mock Test

In the nuclear decay given below:
$${}_Z^{A}X\stackrel{1}{\to }{}_{Z+1}^{A}Y\stackrel{2}{\to }{}_{Z-1}^{A-4}{B}^{\ast }\stackrel{3}{\to }{}_{Z-1}^{A-4}B$$
The particles emitted in the sequence are:

A thin circular ring of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $\omega$. If two objects each of mass $m$ be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity:

In thermodynamic processes which of the following statements is not true?

The number of photo electrons emitted for light of a frequency $\nu$ (higher than the threshold frequency ${\nu }_0$) is proportional to:

A simple pendulum performs simple harmonic motion about $x=0$ with an amplitude $a$ and time period $T$. The speed of the pendulum at $x=a/2$ will be: