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Q.

When a body is projected vertically up from ground, the ratio of its potential to kinetic energies at a height ‘h’ above the ground is 2 :3 . The height above the ground at which the ratio of PE to KE becomes 3 :2 is

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a

25 h

b

23 h

c

32 h

d

52 h

answer is A.

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Detailed Solution

PEKE=23⇒hH−h=23⇒3h=2H−2h⇒5h=2H

PEKE=xH−x=32⇒x52h−x=32

⇒2x=15h2−3x

⇒5x=153h2⇒x=32h

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