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NDA 2016 GAT · General Knowledge · Motion, Forces and Gravitation · hard

A simple pendulum has a time period T on the Earth. If it is taken to the Moon, where g is one sixth of that on Earth, its time period becomes

Single correct option

A simple pendulum has a time period T on the Earth. If it is taken to the Moon, where g is one sixth of that on Earth, its time period becomes
  1. A. 6T
  2. B. T/√6
  3. C. T/6
  4. D. √6 T
Show answer and solution

Answer: (D) √6 T

T = 2π√(L/g). Reducing g to g/6 gives T' = 2π√(6L/g) = √6 T, so the period increases by a factor of about 2.45. Mass does not matter. Writing 6T arises from forgetting the square root, and T/√6 from inverting the dependence on g.
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Original question written in the NDA 2016 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake