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प्रश्न
The time period of the two pendulums are 2 s and 3 s respectively. Find the ratio of their lengths.
उत्तर
`"T"_1` = 2 s;
`"T"_2` = 3 s
Let l1 and l2 be the lengths of the two pendulums.
`"T"_1/"T"_2=sqrt("l"_1/"l"_2)`
`sqrt("l"_1/"l"_2)=2/3`
Squaring both sides,
`(sqrt(("l"_1)/"l"_2))^2=(2/3)^2=4/9`
`sqrt("l"_1/"l"_2)=4/9` = 4 : 9
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