The time period 'T' of a simple pendulum depends on its length 'l' and acceleration due to gravity 'g' using unit dimensions. The correct equation for the time period is:
Correct answer: C. Option C
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
T=2πgl The period of a simple pendulum is given by T = 2 gl, where l is the length of the pendulum and g is the acceleration due to gravity. The time period is directly proportional to length and inversely proportional to gravity.
This question appeared on the UHS MDCAT 2016 paper, which you can sit online with every answer explained.
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About Dimensional Analysis
Dimensional analysis expresses physical quantities through fundamental dimensions such as mass, length and time. It checks dimensional consistency, helps derive relations and converts between unit systems, but cannot determine numerical constants or distinguish quantities with identical dimensions. Dimensional formulae must not be confused with complete physical units.
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