Question

Statement I: The height attained by a projectile is twenty five percent of range, when projected for maximum range.
Statement II:The maximum height is independent of initial velocity of projectile.

• A. If both statement I and statement II are true and statement II is the correct explanation of statement I.
• B. If both statement I and statement II are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statement I and statement II are false.

Answer 1

Answer: (C)

Range will be maximum when $\theta= 45^{\circ}$ and in this condition $R = AH \Rightarrow = R/4$ (always) because $R = 4H\, \cot \,\theta$ and $\theta = 45^{\circ}$
So maximum height is $25\%$ of maximum range.
It does not depend upon the velocity of projection.