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Ratio between maximum range and square o...

Ratio between maximum range and square of time of flight in projectile motion is

A

`10 : 49`

B

`49 :10`

C

`98:10`

D

`10:98`

Text Solution

Verified by Experts

The correct Answer is:
B
For maximum range `theta = 45^(@)`
`R_("max") = u^(2)/g`
`T^(2) = ((2u sin theta)/g)^(2) = (4u^(2) sin^(2) theta)/g^(2) = (4u^(2))/g^(2) xx 1/2`
`u^(2)/g xx g^(2)/(2u^(2)) = 9.8/2 = 4.9 = 49/10 = 49 : 10`
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