1.

The maximum height attained by a projectile is increased by 5%. Keeping the angle of projection constant, what is the percentage increases in horizontal range?A. `5%`B. `10%`C. `15%`D. `20%`

Answer» Correct Answer - a
If h be the maximum height attained by the projectile then
`h=(u^(2)sin^(2) theta)/(2g) or R=(u^(2)sin2 theta)/g`
`R/h=(2 sin thetacos theta)/((sin^(2) theta)//2) = 4 coth theta`
Therefore `(DeltaR)/R=(Deltah)/h`
`:.` Percentage increases in R=percentage increases in `y_(m)=5%`


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