If $$M_0$$ is the mass of isotope $${}_5^{12}B,M_p$$ and $$M_n$$ are the masses of proton and neutron, then nuclear binding energy of isotope is:

In a hypothetical fission reaction $${}_{92}{X}^{236}\to {}_{56}{\mathrm{Y}}^{141}+{}_{36}{Z}^{92}+3R$$ The identity of emitted particles (R) is :

Binding energy of a certain nucleus is $$18\times 10^8\mathrm{J}$$. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:

An electron rotates in a circle around a nucleus having positive charge $$\mathrm{Ze}$$. Correct relation between total energy (E) of electron to its potential energy (U) is :

The angular momentum of an electron in a hydrogen atom is proportional to : (Where $$\mathrm{r}$$ is the radius of orbit of electron)

The longest wavelength associated with Paschen series is : (Given $${\mathrm{R}}_{\mathrm{H}}=1.097\times 10^7\mathrm{SI}$$ unit)

The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is :

A diatomic gas $(\gamma =1.4)$ does $200\mathrm{J}$ of work when it is expanded isobarically. The heat given to the gas in the process is :

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $2\mathrm{km}/\mathrm{s}$, the root mean square velocity of oxygen at the same condition in $\mathrm{km}/\mathrm{s}$ is :

Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is :

The pressure and volume of an ideal gas are related as ${\mathrm{PV}}^{\frac{3}{2}}=\mathrm{K}$ (Constant). The work done when the gas is taken from state $A\left(P_1,V_1,T_1\right)$ to state $B\left(P_2,V_2,T_2\right)$ is :

$$0.08\mathrm{kg}$$ air is heated at constant volume through $$5^{\circ }\mathrm{C}$$. The specific heat of air at constant volume is $$0.17\mathrm{kcal}/{\mathrm{kg}}^{\circ }\mathrm{C}$$ and $$\mathrm{J}=4.18$$ joule/$$\mathrm{cal}$$. The change in its internal energy is approximately.

The average kinetic energy of a monatomic molecule is $$0.414\mathrm{eV}$$ at temperature : (Use $$K_B=1.38\times 10^{-23}\mathrm{J}/\mathrm{mol}-\mathrm{K}$$)

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of $$\frac{\mathrm{Cp}}{\mathrm{Cv}}$$ for the gas is :

The equation of state of a real gas is given by $$\left(\mathrm{P}+\frac{\mathrm{a}}{{\mathrm{V}}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where $$\mathrm{P},\mathrm{V}$$ and $$\mathrm{T}$$ are pressure, volume and temperature respectively and $$\mathrm{R}$$ is the universal gas constant. The dimensions of $$\frac{\mathrm{a}}{{\mathrm{b}}^2}$$ is similar to that of :

The total kinetic energy of 1 mole of oxygen at $$27^{\circ }\mathrm{C}$$ is : [Use universal gas constant $$(R)=8.31\mathrm{J}/$$ mole K]

The speed of sound in oxygen at S.T.P. will be approximately: (given, $$R=8.3{\mathrm{JK}}^{-1},\gamma =1.4$$)

A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

The given figure represents two isobaric processes for the same mass of an ideal gas, then

The parameter that remains the same for molecules of all gases at a given temperature is :