- #1
utkarshakash
Gold Member
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- 13
Homework Statement
A pendulum clock that keeps correct time on the Earth is taken to the moon. It will run
a) at correct rate
b)6 times faster
c)√6 times faster
d)√6 times slower
Homework Equations
The Attempt at a Solution
[itex]T_{earth} = 2\pi \sqrt{\dfrac{L}{g}} \\
T_{moon} = 2\pi \sqrt{\dfrac{L}{g/6}} [/itex]
Dividing i) by ii)
[itex]\dfrac{T_{earth}}{T_{moon}} = \frac{1}{√6} \\
T_{moon} = √6T_{earth} [/itex]
This implies option c) is correct but my book says it is option d).