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CBSE Class 12-science Answered

Sir Pl questions no-5
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Asked by shobhit | 26 May, 2018, 06:26: PM
answered-by-expert Expert Answer
Bulk modulus K is defined as :  K = Pressure / (ΔV/V) .......................(1)
where ΔV is change in volume and V is volume
 
if R is radius of sphere,  V = (4/3)πR3
under compression, if R is getting changed to R-δR, then change in volume V-ΔV is given by
(V-ΔV) = (4/3)π(R-δR)3 = (4/3)πR3 {1 - (δR/R)3 } = (4/3)πR3 {1 - (3δR/R) } ( neglecting higher order of (δR/R) )
 
(V-ΔV) = V{ 1 - (ΔV/V) } = (4/3)πR3 {1 - (3δR/R) }
 
hence (ΔV/V) = (3δR/R)..................(2)
 
Eqn.(1) is rewritten using eqn.(2)
K =  [ (mg)/A ] / (3δR/R)
 
hence   δR/R = (mg) / (3AK)
Answered by Thiyagarajan K | 26 May, 2018, 09:13: PM

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