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JEE Main 2015 Physics question

PhysicsThermodynamicsJEE Main 2015

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 and pressure . If the shell now undergoes an adiabatic expansion the relation between T and R is:

Answer: (4)

Solution

For an adiabatic change . With and : , which gives

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Question ID VK-115143