Home
Class 11
PHYSICS
A hollow pipe of length 0.8m is closed a...

A hollow pipe of length `0.8m` is closed at one end. At its open end a `0.5 m` long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is `50 N` and the speed of sound is `320 ms^(-1)`, the mass of the string is

A

(a) `5 grams`

B

(b) `10 grams`

C

( c ) `20 grams`

D

(d) `40 grams`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Frequency of `2nd` harmonic of string = Fundamental frequency produced in the pipe

:. `2 xx [(1)/(2l_(1))sqrt((T)/(mu))] = (v)/(4l_(2)`
:. `(1)/(0.5)sqrt((50)/(mu)) = (320)/(4 xx 0.8)`
:. `mu = 0.02 kgm_(1)`
`The mass of the string = mul_(1)`
`= 0.02 xx 0.5kg = 10g`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • UNITS & MEASUREMENTS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|58 Videos

  • WORK, ENERGY & POWER

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|64 Videos

Similar Questions

Explore conceptually related problems

The length of an organ pipe open at both ends is 0.5m in Calculate the fundamental frequency of the pipe, if the velocity of sound in air be 350 ms^-1 ?

The frequency of the 5th harmonic of a pipe closed at one end is 680 Hz. If the speed of the sound is 340 m/s then the length of the pipe will be

Knowledge Check

  • A string 2.0 m long and fixed at its end is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. Speed of the wave and its fundamental frequency will be:

    A
    `320 ms^(-1), 120 Hz`
    B
    `180 ms^(-1), 80 Hz`
    C
    `180 ms^(-1), 120 Hz`
    D
    `32 ms^(-1), 80 Hz`

  • What is the shortest length of a pipe open at one end and closed to other end resonates with the fundamental frequency n ?

    A
    21
    B
    v/2n
    C
    41
    D
    v/4n

  • A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrtor. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is :

    A
    320 m/s, 80 Hz
    B
    320 m/s, 120 Hz
    C
    180 m/s, 80 Hz
    D
    180 m/s, 120 Hz

    • Similar Questions

    Explore conceptually related problems

    The speed of sound in air is 320 m/s. The fundamental frequency of an open pipe 50 cm long will be

    If the speed of sound in air is 320m/s, then the fundamental frequency of an closed pipe of length 50cm , will be

    A string of length 2m is fixed at two ends. It is in resonance with a tuning fork of frequency 240 Hz in its third harmonic. Then speed of wave sound in string and its fundamental frequency is:

    A narrow pipe of length 2m is closed at one end. The velocity of sound in air is 320 m/s. Neglecting end corrections , the air column in the pipe will resonate for sound of frequencies :

    A pipe 30.0 cm long is opened at both ends. Which Harmonic mode of the pipe will be at 1.1 kHz frequency also find fundamental frequency, if one end of the pipe is colsed. Take the speed of sound in air as 330 "ms"^(-1)

    Home
    Profile