A seconds pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is (a) moving down with uniform acceleration (b) moving around the earth in geostationary orbit (c) moving up with uniform velocity (d) moving up with uniform acceleration

Answer: (d). T = 2π√lgeff, so T decreases only if geff > g. Down with acceleration: geff = g - a (increases T). Orbit: geff = 0 (no oscillation). Uniform velocity: geff = g (no change). Up with acceleration: geff = g + a > g, so T decreases. So the answer is (d).

A seconds pendulum is mounted in a rocket. Its period of oscillation… | NEET 1994 (AIPMT)

Q90NEET 1994 · AIPMTEasy

Simple Pendulum

A seconds pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is

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Answer: (d)

$T = 2\pi\sqrt{\frac{l}{g_{eff}}}$ , so $T$ decreases only if $g_{eff} > g$ .
Down with acceleration: $g_{eff} = g - a$ (increases $T$ ). Orbit: $g_{eff} = 0$ (no oscillation). Uniform velocity: $g_{eff} = g$ (no change).
Up with acceleration: $g_{eff} = g + a > g$ , so $T$ decreases.
So the answer is (d).

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