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Properties of Matter question

2008 · Shift 1 · Q62
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Properties of Matter question

2008 · Shift 1 · Q62

JEE AdvancedPhysicsProperties of MatterMCQ+3 / −1
A small spherical monoatomic ideal gas bubble (γ=53)\left( {\gamma = {5 \over 3}} \right)(γ=35​) is trapped inside a liquid of density ρ1\rho_1ρ1​ (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n moles of gas. The temperature of the gas when the bubble is at the bottom is T 0_00​, the height of the liquid is H and the atmospheric pressure is P 0_00​ (Neglect surface tension) IIT-JEE 2008 Paper 1 Offline Physics - Properties of Matter Question 7 English ComprehensionWhen the gas bubble is at a height y from the bottom, its temperature is :
  1. A
    T0(P0+ρlgHP0+ρlgy)25{T_0}{\left( {{{{P_0} + {\rho _l}gH} \over {{P_0} + {\rho _l}gy}}} \right)^{{2 \over 5}}}T0​(P0​+ρl​gyP0​+ρl​gH​)52​
  2. B
    T0(P0+ρlg(H−y)P0+ρlgH)25{T_0}{\left( {{{{P_0} + {\rho _l}g(H - y)} \over {{P_0} + {\rho _l}gH}}} \right)^{{2 \over 5}}}T0​(P0​+ρl​gHP0​+ρl​g(H−y)​)52​
  3. C
    T0(P0+ρlgHP0+ρlgy)35{T_0}{\left( {{{{P_0} + {\rho _l}gH} \over {{P_0} + {\rho _l}gy}}} \right)^{{3 \over 5}}}T0​(P0​+ρl​gyP0​+ρl​gH​)53​
  4. D
    T0(P0+ρlg(H−y)P0+ρlgH)35{T_0}{\left( {{{{P_0} + {\rho _l}g(H - y)} \over {{P_0} + {\rho _l}gH}}} \right)^{{3 \over 5}}}T0​(P0​+ρl​gHP0​+ρl​g(H−y)​)53​
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