Question

41. An open organ pipe has fundamental frequency
300 HZ. The length of pipe is [Speed = 330 m/s]
(a) 10 cm (b) 15 cm (c) 55 cm (d) 8 cm​

Answer 1

Answer:

=> LENGTH OF ORGAN PIPE ( L ) = 55 cm

OPTION C

Explanation:

★ WAVE MOTION ★

★ Given ;

» Fundamental Frequency ( F ) = 300 Hz

» Velocity of Sound ( V ) = 330 m / s

» No. of Overtone ( n ) = 1 [ FIRST HARMONIC ]

★ LENGTH OF ORGAN PIPE ( L ) = ???

_____ [ BY USING FORMULA ] ______

[$Fundamental \: Frequency \: ( \: F \: ) \: = \: \frac{No.of \: Overtone \: ( \: n \: ) \: \times \: Velocity \: of \: Sound \: ( \: V \: )}{2 \: \times \: Length \: of \: pipe \: ( \: L \: )}$]

★ F = [ 1 × V ] / 2 × L

» L = V / 2 × F

» L = 330 / 2 × 300

» L = 330 / 600

★ » L = 0.55 m ≈ 55 cm « ★

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ANSWER :- LENGTH OF ORGAN PIPE HAVING FUNDAMENTAL FREQUENCY IS ;

★ LENGTH OF ORGAN PIPE ( L ) = 55 cm