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Q.

When a metal sphere is suspended at the end of a metal wire its extension is 0.4mm.  If another metal sphere of the same material with its radius half as the previous is suspended then extension would be

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a

0.01mm

b

0.32mm

c

0.05mm

d

0.02mm

answer is A.

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Detailed Solution

e=FlAY=mglAY=43πr3ρglAY

e∝r3∵ρ,g,l,A and Y are same  

e2e1=r2r13=r12r13⇒e20.4=18

e2=0.05mm

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