The ratio of the heights from which two bodies are dropped is 3:5 respectively. The ratio of their final velocities is:

Asked by chinmaypjoshi123 | 26th Jun, 2015, 01:41: PM

Expert Answer:

Velocity acquired by the two bodies falling from rest through a distance h is given as: v = begin mathsize 12px style square root of 2 gh end root end style
Given that :
begin mathsize 12px style straight h subscript 1 space colon space straight h subscript 2 space equals space 3 space colon space 5 Therefore comma space straight v subscript 1 over straight v subscript 2 equals fraction numerator square root of 2 gh subscript 1 end root over denominator square root of 2 gh subscript 2 end root end fraction equals fraction numerator square root of straight h subscript 1 end root over denominator square root of straight h subscript 2 end root end fraction straight v subscript 1 over straight v subscript 2 equals fraction numerator square root of 3 over denominator square root of 5 end fraction end style
The correct option is (A)

Answered by Yashvanti Jain | 27th Jun, 2015, 10:17: PM