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Mechanical Properties Of Fluids

Question
CBSEENPH11020516
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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,

  • 100 cm

  • 150 cm

  • 200 cm

  • 66.7 cm

Solution

B.

150 cm

b) The smallest length of the air column is associated with the fundamental mode of vibration of the air column.

Lmin = straight lambda over 4
rightwards double arrow space 50 space cm space equals space straight lambda over 4
rightwards double arrow space straight lambda space equals space 200 space cm
The next higher length of the air column is,
straight L space equals space straight lambda over 4 plus straight lambda over 2 space space space equals space fraction numerator straight lambda space plus space 2 straight lambda over denominator 4 end fraction space space equals space fraction numerator 3 straight lambda over denominator 4 end fraction space space equals space 3 over 4 straight x 200 space space equals space 150 space cm

Some More Questions From Mechanical Properties of Fluids Chapter

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