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Physics
Physics
Problem
The time period
T
T
T
of a simple pendulum is assumed to depend only on its length
l
l
l
and the acceleration due to gravity
g
g
g
. Which of the following relations is dimensionally correct? a)
T
∝
l
g
T \propto \dfrac{l}{g}
T
∝
g
l
b)
T
∝
l
g
T \propto \sqrt{\dfrac{l}{g}}
T
∝
g
l
c)
T
∝
l
g
T \propto \sqrt{l g}
T
∝
l
g
d)
T
∝
g
l
T \propto \sqrt{\dfrac{g}{l}}
T
∝
l
g
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