Question

On which of the following factors does the time period of a simple pendulum depend?

1.Amplitude of the bob
2.Length of the string
3.Mass of the bob
4.Both (b) and (c)

Answer 1

Answer:

2) Length of the string.

Explanation:

As per the equation of simple pendulum if T=Time, L=Length & g= acceleration due to gravity then

T=2π√(L/g).

As π and g is constant, the variable in this equation is L. So the answer is Length.

Answer 2

On which of the following factors does the time period of a simple pendulum depend ?

1. Amplitude of the Bob
2. Length of the string
3. mass of the Bob.
4. Both (B) and (c)

Answer : option (1) Amplitude of the Bob

explanation :

time period of a simple pendulum is the time taken by Bob to complete one revolution.

for simple pendulum,

“time period is directly proportional to square root of length of the string attached to the Bob and inversely proportional to the square root of the acceleration due to gravity.”

i.e., T ∝ √(l/g)

where l is length of the string and g is acceleration due to gravity.

hence, it is clear that option (1) is correct.