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Physics · LAWS OF MOTION
हिन्दीTwo bodies of masses \( m_1 = 2 \text{ kg} \) and \( m_2 = 8 \text{ kg} \) are initially at rest. Equal forces \( F_1 \) and \( F_2 \) act on them for time intervals \( \Delta t_1 \) and \( \Delta t_2 \) respectively. If both bodies acquire the same final linear momentum, the ratio of time intervals \( \Delta t_1 / \Delta t_2 \) is:
Correct answer · Option D
\( 1 : 1 \)
Explanation
Impulse \( \Delta p = F \Delta t \). Since \( \Delta p_1 = \Delta p_2 \) and \( F_1 = F_2 \), it follows that \( \Delta t_1 = \Delta t_2 \implies \Delta t_1 / \Delta t_2 = 1 : 1 \).
