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Questions  

Two spheres whose radii are in the ratio 1 : 2 are moving with their velocities in the ratio 3 : 4. If their densities are in the ratio 3 : 2, the ratio of their kinetic energies is,

a
27 : 64
b
1 : 1
c
27 : 256
d
9 : 64

detailed solution

Correct option is C

KE=12mv2=1243πr3ρv2=2π3r3ρv2

KE1KE2=r1r23ρ1ρ2v1v22=1832916=27256

 

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