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Question: Two balls are projected from the same point in directions at 30<sup>0</sup> and 60<sup>0</sup> with ...

Two balls are projected from the same point in directions at 300 and 600 with the horizontal. Both the balls attain the same height. The ratio of their velocities of projection is-

A

3\sqrt{3} : 2

B

3\sqrt{3} : 3

C

3\sqrt{3} : 5

D

3\sqrt{3} : 1

Answer

3\sqrt{3} : 1

Explanation

Solution

H = u12sin⁡2θ12 g\frac { \mathrm { u } _ { 1 } ^ { 2 } \sin ^ { 2 } \theta _ { 1 } } { 2 \mathrm {~g} } = u22sin⁡2θ22 g\frac { \mathrm { u } _ { 2 } ^ { 2 } \sin ^ { 2 } \theta _ { 2 } } { 2 \mathrm {~g} }