In a fission reaction $_{92}^{236}U \to ^{117}X + ^{117}Y + n + n$,the binding energy per nucleon of $X$ and $Y$ is $8.5\, MeV$,whereas that of $^{236}U$ is $7.6\, MeV$. The total energy liberated will be about:

If the roots of the equation $4x^3 - 12x^2 + 11x + k = 0$ are in arithmetic progression,then $k$ is equal to

$N$ divisions on the main scale of a vernier calipers coincide with $(N + 1)$ divisions of the vernier scale. If each division of main scale is $a$ units, then the least count of the calipers is

The number of circles that touch all the three lines $x+y-1=0$,$x-y-1=0$,and $y+1=0$ is

$A$ vessel is filled with an ideal gas at a pressure of $10 \ atm$ and temperature $27^\circ C$. Half of the mass of the gas is removed from the vessel and the temperature of the remaining gas is increased to $87^\circ C$. Then the pressure of the gas in the vessel will be ...... $atm$.