Question:
If the length of the pendulum in pendulum clock increases by $0.1 \%$, then the error in time per day is:
Correct Option: , 3
Solution:
$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}}}$
$\frac{\Delta \mathrm{T}}{\mathrm{T}}=\frac{1}{2} \frac{\Delta \ell}{\ell}$
$\Delta \mathrm{T}=\frac{1}{2} \times \frac{0.1}{100} \times 24 \times 3600$
$\Delta \mathrm{T}=43.2$
Ans. 3