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Physics · MOTION IN A PLANE

हिन्दी

The maximum height reached by a projectile launched with speed \( v_o \) at an angle \( 60^\circ \) to the horizontal is \( H_1 \). If the same projectile is launched with the same speed \( v_o \) at an angle \( 30^\circ \), its maximum height is \( H_2 \). The ratio \( H_1 / H_2 \) is:

  1. 1 : 3
  2. 1 : 1
  3. 9 : 1
  4. 3 : 1

Correct answer · Option 4

3 : 1

Explanation

Since \( h_m \propto \sin^2\theta_o \), \( \frac{H_1}{H_2} = \frac{\sin^2 60^\circ}{\sin^2 30^\circ} = \frac{(3/4)}{(1/4)} = 3 \).
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