MCQ
If the length of second's pendulum is decreased by $2\%$, how many seconds it will lose per day ...... $\sec$
  • A
    $3927$
  • B
    $3727$
  • C
    $3427$
  • $864$

Answer

Correct option: D.
$864$
d
(d) $T \propto \sqrt l $

==> $\frac{{\Delta T}}{T} = \frac{1}{2}\frac{{\Delta l}}{l} = \frac{{0.02}}{2} = 0.01$

==>$\Delta T = 0.01\,T$

Loss of time per day $ = 0.01 \times 24 \times 60 \times 60$$ = 864\sec $

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