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प्रश्न
If the length of a simple pendulum increases by 5%, then its period shall increase by ______.
विकल्प
25%
2.24%
2.5%
5%
MCQ
रिक्त स्थान भरें
उत्तर
If the length of a simple pendulum increases by 5%, then its period shall increase by 2.5%.
Explanation:
T = `2p sqrt(l/"g"), "T'" = 2pi sqrt(105/100)"l"/"g" = 1.025 xx 2pi sqrt("l"/"g")`
% change = `(Delta "T")/"T" xx 100 = ("T'" - "T")/"T" xx 100`
`= (.025 xx 2pi sqrt("l"/"g") xx 100)/(2pi sqrt("l"/"g"))`
= 2.5 %
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