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Q.

A ring shaped tube contains two ideal gases with equal masses and with atomic masses numbers M1 = 32 and M2 = 28. The gases are separated by one fixed partition P and another movable conducting partition S which can move freely without friction inside the ring. The angle α as shown in the figure in equilibrium is:

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a

7π8

b

8π7

c

15π16

d

16π15

answer is D.

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Detailed Solution

P1=P2T1=T2⇒V1n1=V2n2⇒2π−αn1=αn2⇒ M1(2π−α)=M2α or  α=2πM1M1+M2=16π15
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