Answer:
If the length is doubled, the period will increase by a factor of √2 .
Explanation:
For Simple Pendulum
T = 2π√(L/g) -----------------(1)
Where T is time period, L is length and g is acceleration due to gravity
Now,
If we double the length,
T = 2π√2L/g
T = √2(2π√(L/g)
From (1), We get
T = √2(T)
So,
If the length is doubled, the period will increase by a factor of √2 .
