Question

You are using a pendulum as simple clock but notice that the period is about 40% too low. Which action will make the clock more accurate?

a. double the length

b. half the length

c. triple the length

d. double the amplitufe od the oscillation

e. half the amplitde of the oscillation

Answer 1

Time Period of the Simple Pendulum is given by

  

Since acceleration due to gravity remains almost constant on Earth thus we'll have

  (where k is the constant)

Now Time Period is 40% low. Let accurate time period be T then lower time period will be T₁= 0.6T then we'll have

(Where L is the initial length of pendulum)

.............................(1)

Now if we want accurate Time Period then let length for this be L', then we'll have

  ..............................(2)

Using above in equation 1,

  

Squaring both sides,

Thus New length must be 3 times of the initial length.

Hence Correct Option: c. triple the length