NEETPhysicsWavesMCQ+4 / −1
An organ pipe filled with a gas at 27C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 90C, the resonance frequency at the same mode will be
- A512 Hz
- B420 Hz
- C440 Hz
- D484 Hz
View written solutionFree
Correct answer: C
$${f_0} = {v \over {2L}} = {{\sqrt {{{\gamma RT} \over M}} } \over {2L}}$$
$${{{f_{{0_1}}}} \over {{f_{{0_2}}}}} = \sqrt {{{{T_1}} \over {{T_2}}}} = \sqrt {{{300} \over {363}}} = {1 \over {1.1}}$$
$${f_{{0_2}}} = 1\,.\,1{f_{{0_1}}} = 1\,.\,1(400)$$
$ = 440$ Hz
More from Waves
- If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is2022 · MCQ
- In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency of A is 530 Hz, the original freqnency of B will be :2020 · MCQ
- The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is2018 · MCQ
- A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C two successive resonances are produced at 20 cm and 73 cm of column…2018 · MCQ
- The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system ?2017 · MCQ
- An air column, closed at one end 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 is2016 · MCQ
- A uniform rope of length L and mass m1 hangs vertically from a rigid support. A block of mass m2 is attached to the free end of the rope. A transverse pulse of wavelength 1 is produced at the lower end of the rope. The wavelength…2016 · MCQ
- The second overtone of an open organ pipe has the same frquency as the first overtone of a closed pipe L metre long. The length of the open pipe will be2016 · MCQ