Question

Statement I: The maximum horizontal range of projectile is proportional to square of velocity.
Statement II:The maximum horizontal range of projectile is equal to maximum height attained by 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)

$R=\frac{u^2\sin 2\theta }{g}$
$\therefore R_{max}=\frac{u^2}{g}$ when $\theta =45^{\circ }$
$\therefore R_{max}\propto u^2$
Height $H=\frac{u^2{\sin }^2\theta }{2g}$
$\Rightarrow H_{max}=\frac{u^2}{2g}$ when $\theta =90^{\circ }$
It is clear that $H_{max}=\frac{R_{max}}{2}$