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Q.

Two particles tied to different strings are whirled in a horizontal circle as shown in figure. The ratio of lengths of the strings so that they complete their circular path with equal time period is:

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a

32

b

23

c

1

d

None of these

answer is B.

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Detailed Solution

Since T = 2πL cos θg∴   T1 = T2⇒L1 cos θ = L2 cos θ2∴   L1L2 = cos θ2cos θ1 = cos 450cos 300L1L2 = 23
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