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  1. Two bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum. The ratio of their masses is
    1. 1 : 2
    2. 1 : 1
    3. 4 : 1
    4. 1 : 4
Correct Option: D

(K.E)1
=
1
m1v12 =
4
m1v12
=
4
2
(K.E)2
1
m2v221m2v221
2

(m1v12)m2
=
4
p12
×
m2
=
4
(m2v22)m11p22m11

m2
=
4 × p22
=
4
× 1 ⇒
m1
=
1
m11 × p121m24

[Given : p1 = p2]



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