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Q.

Two identical balls are projected, one vertically up and the other at an angle of 300 to the horizontal, with same initial speed. The potential energy at the highest point is in the ratio :

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a

4 : 3

b

3 : 4

c

4 : 1

d

1 : 4

answer is C.

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Detailed Solution

Using equation of motion,height reached by first body, h1 = u22gheight reached by second body, h1 = u22gheight reached by second body, h2 = u2sin23002g                                                        = 14×u22gh1 : h2 = 4 : 1As PE ∝ height(PE)1 : (PE)2 = 4 : 1
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Two identical balls are projected, one vertically up and the other at an angle of 300 to the horizontal, with same initial speed. The potential energy at the highest point is in the ratio :