Mathematics · Units and Dimensions
The time period of a simple pendulum is expressed by the relation T = k la gb, where k is a dimensionless constant, l is the length of the pendulum, and g is the acceleration due to gravity. By using dimensional analysis, the values of the exponents a and b are:
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- 1a = 12, b = -12✓
- 2a = -12, b = -12
- 3a = 12, b = 12
- 4a = 1, b = 1
Correct answer
a = 12, b = -12
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