Question

A grandfather clock is based on a pendulum. If the length of the pendulum of a...

A grandfather clock is based on a pendulum. If the length of the pendulum of a clock is adjusted such that it is 30.0% longer (L2=1.3L1), how much slower/faster will the longer clock be?

A. The clock with pendulum length L2 will run 30.0% faster (have a shorter period).

B. The clock with pendulum length L2 will run 14.0% slower (have a longer period).   

C. The clock with pendulum length L2 will run 30.0% slower (have a longer period).

D. The clocks will keep the same time.

E. The clock with pendulum length L2 will run 14.0% faster (have a shorter period).

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Answer #1

Time period of the pendulum is given by

When the length is in reased by 30 % then the new time period is

Therefore, the new time period will be longer by 14 %.

The correct option is (B) The clock with pendulum length L2 will run 14.0% slower (have a longer period).

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