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JEE PHYSICS MCQ: MECHANICAL PROPERTIES OF FLUIDS
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Analyzing
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A soap bubble of radius , surface tension exists in equilibrium in vacuum. A monoatomic gas is trapped inside the soap bubble. Charge is given to bubble such that bubble expands from radius a to radius under reversible adiabatic condition. If surface charge density on the bubble surface is found to be . Find the value of are positive co-primes)
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Correct option: A
4
The correct answer is A (4). The surface charge density is calculated using the adiabatic process and the change in radius, resulting in , thus x/y = 15/4, but the answer asks for x/y where , and x and y are coprime. The question asks for x/y, where x and y are coprime after simplification.
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