Answer:
0.955T
Explanation:
The effect on the period in case when there is a decrease in length by 7.85%
Let us assume the following items
Period = T
T= Beginning period
L = Beginning length
T' = Final period
L' = Final length
Based on the above information
As we know that
[tex]\frac {T'}{T} = \sqrt {\frac {L'}{L}}\\\\ L' = \frac {100-7.85}{100} \\\\ L = 0.9215 \: L[/tex]
Therefore
[tex]\frac {T'}{T} = \sqrt {\frac {0.9215L}{L}} \\\\= 0.955\ T[/tex]
Hence, the effect on the period is 0.955T
