Q.

The length of a sonometer wire AB is 100 cm, where should the two bridges be placed from A to divide the wire in 3 segments whose fundamental frequencies are in the ratio of 1 : 2 : 6

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a

30 cm, 90 cm

b

60cm, 90 cm

c

40 cm, 80 cm

d

20 cm, 30 cm

answer is B.

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Detailed Solution

From 1st law    ;     distance of Bridge B1 = 60 cm (from A)distance of Bridge B2 = 90 cm (from A)
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The length of a sonometer wire AB is 100 cm, where should the two bridges be placed from A to divide the wire in 3 segments whose fundamental frequencies are in the ratio of 1 : 2 : 6