Answer:
No
Explanation:
The period of a pendulum is given by
where
L is the length of the pendulum
g is the acceleration due to gravity
We see that the period of the pendulum depends on the value of g. However, the value of the gravitational acceleration is different at different locations on Earth. In particular, at the top of the mountain the value of g is slightly lower than the value of g at the base of the mountain; in fact, g is given by
where
G is the gravitational constant
M is the Earth's mass
r is the distance from the Earth's center
so since r is greater at the top of the mountain, g is lower, and therefore the period of the pendulum will be slightly longer.