List of top Physics Questions asked in IIT JAM GG

A 50 kg granite boulder gets dislodged from a cliff of height 20 m and undergoes an absolute vertical free fall. If the acceleration due to gravity is 10 m/s\(^2\), the boulder will hit the ground with a velocity of _________ m/s.
Mass and volume of a fully dried soil sample are 500 g and 250 cm\(^3\), respectively. The average density of the particles in the soil sample is 2.5 g/cm\(^3\). The void ratio of the soil sample is _________ %.
At a temperature of 298.15 Kelvin, the free energy change of a reaction (\(\Delta G^{\circ}\)) is 19.737 kcal/mole. If the universal gas constant (R) = 1.98717 Calorie/degree/mole, the \(\log_{10}\) of the equilibrium constant \(K\) is _________ (rounded off to two decimal places).
A light ray passes from mineral A to mineral B having refractive indices of 1.750 and 1.430, respectively. The limiting value of angle of incidence above which the light ray undergoes total internal reflection is ______________ degree (rounded off to one decimal place).
Assume: (i) geothermal gradient = 25°C/km in the crust, (ii) density of the crustal rocks = 3000 kg/m\(^3\), and (iii) acceleration due to gravity = 10 m/s\(^2\). Based on these values, the lithostatic pressure at a point where temperature is 400°C will be ___________MPa.