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If T1 and T2 are the times of flight for...

If `T_1 and T_2` are the times of flight for two complementary angles, then the range of projectile R is given by

A

`R = 4gT_1T_2`

B

`R=2gT_1T_2`

C

`R=1/4 gT_1T_2`

D

`R = 1/2gT_1T_2`

Text Solution

Verified by Experts

The correct Answer is:
D

`T_1 = (2usintheta)/g , T_2 = (2ucostheta)/g`
`R = (2(usintheta)(ucostheta))/g`
`=(2((gT_1)/2) ((gT_2)/2)) /g `
`= 1/2 gT_1T_2`.
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DC PANDEY-PROJECTILE MOTION-Level - 1 Single Correct
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