1.

Two partical tied to different strings are whirled in a horizontal circle as shown in figure. The ratio of lengths of the string so that they complete their circular path with equal time priod is: A. `sqrt((3)/(2))`B. `sqrt((2)/(3))`C. 1D. None of these

Answer» Correct Answer - B
Since `T=2pisqrt((Lcostheta)/(g))`
:. `T_(1)=T_(2)`
implies `L_(1)costheta=L_(2)costheta_(2)`
`:. (L_(1))/(L_(1))=(costheta_(2))/(costheta_(1))=(cos45^(@))/(cos30^(@))`
`(L_(1))/(L_(2))=(sqrt(2))/(sqrt(3))`


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