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Q.

An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same tuning fork is:

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a

66.7 cm

b

100 cm

c

150 cm

d

200 cm

answer is C.

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Detailed Solution

First minimum resonating length for closed organ pipe = λ4 = 50 cm∴Next larger length of air column = 3λ4=150 cm1st length = 50 cm3rd harmonic length = 150 cm

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