"if the length of the string is 4times its original length state the change in the period.Ts"?

Question

"if the length of the string is 4times its original length state the change in the period.Ts"?

Answer 1

the formula for period is 2 pie times square root of (length over gravitational force). Therefore, T is directly proportional to square root of length. In other words, T squared is directly proportional to length. Thus, if the string is 4 times its original length, its period should be square of 4 times, which is 16 times the original period.

Answer 2

T1=2*pi*sqr(l/g) (initial period)

T2=2*pi*sqr(4l/g) (new period)

divide these equations

T1/T2=1/sqr(4)=0.5

so T2=2*T1