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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

A pendulum clock is taken to the Moon (g<sub>moon</sub> = g/6). Its period becomes:

Answer: √6 times longer.

  • A √6 times longer
  • B √6 times shorter
  • C 6 times longer
  • D 6 times shorter

Correct answer: A. √6 times longer

Explanation: T = 2π√(L/g). On Moon, T<sub>moon</sub> = 2π√(L/(g/6)) = √6 times T<sub>earth</sub>. The clock runs slower on the Moon.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.

Concept context

Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.

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