371440 A monoatomic ideal gas, initially at temperature \(T_{1}\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_{2}\) by releasing the piston suddenly. If \(L_{1}\) and \(L_{2}\) are the lengths of the gas column before and after expansion respectively, then \(T_{1} / T_{2}\) is given by

371441 A monoatomic gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be:

371442 Consider a spherical shell of radius \(R\) at temperature \(T\). The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume \(u=\dfrac{U}{V} \propto T^{4}\) and pressure \(p=\dfrac{1}{3}\left(\dfrac{U}{V}\right)\). If the shell now undergoes an adiabatic expansion the relation between \(T\) and \(R\) is:

371443 In adiabatic expansion of a gas

371440 A monoatomic ideal gas, initially at temperature \(T_{1}\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_{2}\) by releasing the piston suddenly. If \(L_{1}\) and \(L_{2}\) are the lengths of the gas column before and after expansion respectively, then \(T_{1} / T_{2}\) is given by

371441 A monoatomic gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be:

371442 Consider a spherical shell of radius \(R\) at temperature \(T\). The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume \(u=\dfrac{U}{V} \propto T^{4}\) and pressure \(p=\dfrac{1}{3}\left(\dfrac{U}{V}\right)\). If the shell now undergoes an adiabatic expansion the relation between \(T\) and \(R\) is:

371443 In adiabatic expansion of a gas

371440 A monoatomic ideal gas, initially at temperature \(T_{1}\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_{2}\) by releasing the piston suddenly. If \(L_{1}\) and \(L_{2}\) are the lengths of the gas column before and after expansion respectively, then \(T_{1} / T_{2}\) is given by

371441 A monoatomic gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be:

371442 Consider a spherical shell of radius \(R\) at temperature \(T\). The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume \(u=\dfrac{U}{V} \propto T^{4}\) and pressure \(p=\dfrac{1}{3}\left(\dfrac{U}{V}\right)\). If the shell now undergoes an adiabatic expansion the relation between \(T\) and \(R\) is:

371443 In adiabatic expansion of a gas

371440 A monoatomic ideal gas, initially at temperature \(T_{1}\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_{2}\) by releasing the piston suddenly. If \(L_{1}\) and \(L_{2}\) are the lengths of the gas column before and after expansion respectively, then \(T_{1} / T_{2}\) is given by

371441 A monoatomic gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be:

371442 Consider a spherical shell of radius \(R\) at temperature \(T\). The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume \(u=\dfrac{U}{V} \propto T^{4}\) and pressure \(p=\dfrac{1}{3}\left(\dfrac{U}{V}\right)\). If the shell now undergoes an adiabatic expansion the relation between \(T\) and \(R\) is:

371443 In adiabatic expansion of a gas