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Q.

Two lead spheres have radii in the ratio 1 : 2 and have the same linear momentum. The ratio of their kinetic energy is

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a

8:1

b

4:1

c

2:1

d

1:2

answer is C.

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Detailed Solution

Given that two lead spheres have same linear momentum r1:r2=1:2,p1=p2,K1:K2=? We have K=p22mK1m K1K2=m2m1=dv2dv1density =massvolume K1K2=v2v2=43πr2343πr13=213=8 K1:K2=8:1 

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