AIEEE 2012 PYQ Mock Test

Assume that a neutron breaks into a proton and an electron. The energy released during this process is:(Mass of neutron $=1.6725\times 10^{-27}\text{kg}$; mass of proton $=1.6725\times 10^{-27}\text{kg}$; mass of electron $=9\times 10^{-31}\text{kg}$)

A Carnot engine, whose efficiency is $40\%$, takes in heat from a source maintained at a temperature of $500\text{K}$. It is desired to have an engine of efficiency $60\%$. Then, the intake temperature for the same exhaust (sink) temperature must be:

If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$.Statement 1: If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$.Statement 2: $k_1<k_2$.

Two cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$, respectively. Their speeds are such that they make complete circles in the same time $t$. The ratio of their centripetal acceleration is:

A cylindrical tube, open at both ends, has a fundamental frequency, $f$, in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now: