Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202312 Apr 2023Morning ShiftPhysicsWaves and SoundActual

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1 : 3 : 5 respectively. If the frequency of fifth harmonic is 405 Hz and the speed of sound in air is 324 m s – 1 the length of the organ pipe is _____ m .

Correct answer

0

Step-by-step solution

It is given, f 5 = 405   Hz . As the first three resonance frequencies are in the ratio of 1 : 3 : 5 , therefore it must be a closed organ pipe. The frequency formula in a closed organ pipe is given by f = n v 4 l . So, 5 v 4 I = 405   Hz ⇒ I = 405 × 4 5 × 324 = 1   m

Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength = 0.29 m enters these structures at the point S and a so 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + /4) , where x, y are in cm and t in seconds. The least distance between the two successive crests in the wave is 2026The equation of a plane progressive wave is given by y = 5 (200t - x 150 ) where x and y are in cm and t is in second. The velocity of the wave is _______ m/s. 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and Young's modulus of the bar material are increased by 0.5 % and 1 % , respectively then the spe 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A is loaded with wax, the beat frequency is reduced to 4 beats in 2 s. If the original freque 2026A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5 / x . 2026The velocity of sound in air is doubled when the temperature is raised from 0^ C to ^ C . The value of is _ _ _ _ . 2026 Full Waves and Sound list All JEE Main PYQs