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Q.

An air chamber of volume V has a neck area of cross-section ‘a’ into which a ball of mass ‘m’ just fits and can move up and down without any friction as shown. When the ball is pressed down a little and released, it executes S.H.M with what time period. (B is bulk modulus of elasticity of air)

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a

2πBa2mV

b

12πBa2mV

c

2πmVBa2

d

12πBamV

answer is C.

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Detailed Solution

B=(Fa)−(ΔVV)

F=−Ba(ΔVV)=−B(a)(ay)V

ma'=−Ba2Vy

ω=Ba2mV               

T=2πmVBa2

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