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:(a) 66.7 cm(b) 100 cm(c) 150 cm(d) 200 cm
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Answer:
c) 150cm
Explanation:
A closed organ pipe is a cylindrical tube that has an air column with one end closed.
Smallest length of the column = 50cm ( Given)
Condition of constructive interference is given as -
l= ( 2n+1 )λ/4
For a closed organ pipe, first minimum resonating length=
L1 = λ/4 = 50cm
Second minimum resonating length =
L2 = 3λ/4 = 150cm
Thus, the next larger length of the column resonating with the same tuning fork is 150cm
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