The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratioA. `sqrt((2)/(3))`B. `sqrt((3)/(2))`C. `(4)/(9)`D. `(9)/(4)`

The ratio of frequencies of two pendulums are 2 : 3, then their length

1.	The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratioA. `sqrt((2)/(3))`B. `sqrt((3)/(2))`C. `(4)/(9)`D. `(9)/(4)`
Answer» Correct Answer - D (d) Frequency , `nprop (1)/(sqrt(l))` `implies (n_(1))/(n_(2))=sqrt((l_(2))/(l_(1)))implies (l_(2))/(l_(1))=(n_(1)^(2))/(n_(2)^(2))implies (l_(2))/(l_(1))=((2)^(2))/((3)^(2))` `(l_(2))/(l_(1))=(4)/(9)implies(l_(1))/(l_(2))=(9)/(4)`

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The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratioA. `sqrt((2)/(3))`B. `sqrt((3)/(2))`C. `(4)/(9)`D. `(9)/(4)`

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