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When the rocket accelerates upwards, g increases to (g + a). Calculate the time period T.

1. T = 2π√(l/g)
2. T = 2π√(l/(g+a))
3. T = 2π√(l/(g-a))
4. T = 2π√(l/(g+2a))

Correct answer: T = 2π√(l/(g+a))

Solution

The time period of a simple pendulum is given by T = 2π√(l/g_eff), where g_eff is the effective acceleration due to gravity. In this case, the rocket's upward acceleration adds to g, making g_eff = g + a. Substituting this into the formula gives T = 2π√(l/(g+a)).

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