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An object is thrown along a direction inclined at an angle of `45^(@)` with the horizontal direction. The horizontal range of the particle is equal toA. vertical heightB. twice the vertical heightC. thrice the vertice heightD. four times the vertical height

Answer» Correct Answer - D
`(R)/(H) = ((u^(2)sin 2theta)/(g))/((u^(2)sin^(2)theta)/(2g)) = (2sin theta cos theta)/(g) xx (2g)/(sin^(2)theta) = 4 cot theta`
`rArr R = 4H cot theta` if `theta = 45^(@)` then `R = 4H cot (45^(@)) = 4H`


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