AIEEE 2010 PYQ Mock Test

A nucleus of mass $M+\Delta m$ is at rest and decays into two daughter nuclei of equal mass $M/2$ each. The speed of daughter nuclei is:

A radioactive nucleus (initial mass number $A$ and atomic number $Z$) emits $3\alpha$ -particles and $2$ positrons. The ratio of number of neutrons to that of protons in the final nucleus will be:

A thin semi-circular ring of radius $r$ has a positive charge $q$ distributed uniformly over it. The net electric field $\vec{E}$ at the centre $O$ is:

A logic gate circuit has two inputs $A$ and $B$. Both are passed through NOT gates, then through a NAND gate, and finally through another NOT gate. This combination yields:

A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from $V$ to $32V$, the efficiency of the engine is: