The ranges and heights for two projectiles projected with the same initial velocity at angles 42 ° and 48 ° with the horizontal are R1, R2 and H1, H2 respectively. Choose the correct option: (a) R1 > R2 and H1 = H2 (b) R1 = R2 and H1 < H2 (c) R1 < R2 and H1 < H2 (d) R1 = R2 and H1 = H2

Answer: (b). 42° and 48° are complementary, so sin 84° = sin 96° gives R₁ = R₂. H = (u²sin ²θ)/(2g) grows with θ, so H₁ < H₂. So the answer is (b) R₁ = R₂ and H₁ < H₂.

The ranges and heights for two projectiles projected with the same… | JEE Main 2021 (1 Sep, Shift 2)

Q23JEE Main 2021 · 1 SEP · SHIFT 2Easy

Comparing Two Projectiles

The ranges and heights for two projectiles projected with the same initial velocity at angles 42 $^\circ$ and 48 $^\circ$ with the horizontal are R1, R2 and H1, H2 respectively. Choose the correct option:

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Answer: (b)

$42^\circ$ and $48^\circ$ are complementary, so $\sin 84^\circ = \sin 96^\circ$ gives $R_1 = R_2$ .
$H = \frac{u^2\sin^2\theta}{2g}$ grows with $\theta$ , so $H_1 < H_2$ .
So the answer is (b) $R_1 = R_2$ and $H_1 < H_2$ .

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