Home
Class 12
PHYSICS
In resonance tube experiment , the veloc...

In resonance tube experiment , the velocity of sound is given by `v = 2 f_(0) ( l_(2) - l_(1))` . We found `l_(1)=25.0 cm` and `l_(2)=75.0 cm`. If there is no error in frequency, what will be the maximum permissible errror in the speed of sound ? (Take `f_(0) = 325 Hz`)

A

`0.2m//s`

B

`0.65m//s`

C

`1.3m//s`

D

`2.6m//s`

Text Solution

Verified by Experts

The correct Answer is:
C
`V=2f_(0)(l_(2)-l_(1))`, `(dv)=2f_(0)(dl_(2)-dl_(1))`
`(dv)_(max)=max of [2f_(0)(+-Deltal_(2)overset(-)(+)Deltal_(2))]`
`=2f_(0)(Deltal_(2)+Deltal_(1))`
`l_(1)=25.0cm`
`impliesDeltal_(1)=0.1cm` (place value of last number)
`l_(1)=75.0cm`
`implies Deltal_(2)=0.1cm`(place value of last number)
So max permissible error `i` speed of sound
`(dv)_(max)=2(325Hz)(0.1cm+0.1cm)`
`=1.3m//s`
`V=2f_(0)(l_(2)-l_(1))`
`=2(325Hz)(75.0cm-25.0cm)=325m//s`
so `V=(325+-1.3)m//s`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • EXPERIMENTAL PHYSICS

    NARAYNA|Exercise Comprehension type|6 Videos

  • EXPERIMENTAL PHYSICS

    NARAYNA|Exercise Subjective type|6 Videos

  • ELECTROSTATICS AND GAUSS LAW

    NARAYNA|Exercise Intergers type question|11 Videos

  • MAGNETISM

    NARAYNA|Exercise LEVEL-II (H.W)|24 Videos

Similar Questions

Explore conceptually related problems

In resonance tube exp we find l_(1) = 25.0 cm and l_(2) = 75.0cm The least count of the scale used to measure l is 0.1cm If there is no error in frequency What will be max permissible error in speed of sound (take f_(0) = 325 Hz) .

In a resonance - column experiment to measure the velocity of sound , the first resonance is obtained at a length l_(1) and the second resonance at a length l_(2) . Then ,

Knowledge Check

  • If a tunnig fork of frequency (f_(0)) 340 Hz and tolerance pm 1% is used in resonance coulmn method [v=2f_(0)(l_(2)-l_(1))] , the first and the second resonance are measured at l_(1)=24.0 cm and l_(2)=74.0 cm . Find max. permissible error in speed of sound.

    A
    `1%`
    B
    `1.2 %`
    C
    `1.4%`
    D
    `1.6%`

  • If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is

    A
    204.8 cm/sec
    B
    102.4 cm/sec
    C
    51.2 cm/sec
    D
    161.3 cm/sec

  • If a tuning fork of frequency ( f_(0) ) 340 Hz and tolerance pm1% is used in the resonance column method for determining the speed of sound. If the first and the second resonance are measured at l_(1) = 24.0 cm and l_(2) = 74.70 cm , then the permissible error in speed of sound is

    A
    `1.2%`
    B
    `1.8%`
    C
    `1%`
    D
    `0.8%`

    • Similar Questions

    Explore conceptually related problems

    If l_(1) = (10.0 pm 0.1) cm and l_(2) = (9.0 pm 0.1) cm , find the their sum , difference and error in each .

    The lengths of two rods are recorded as l_(1)=25.2pm0.1cm and l_(2)=16.8pm0.1cm . Find the sum of the lengths of the two rods with the limits of error.

    An experiment is conducted to determine the velocity of sound by resonating air column method where the first and second resonating lengths are 20 cm and 60 cm , respectively , for a tuning fork of frequency 100 Hz. Arrange the following steps in a sequential order to determine the velocity of sound . (A) Note the frequency of the tuning fork (n) that is used to produce resonance in the closed organ tube . (B) This will be the fundamental frequency of air column . (C) The velocity of sound in air , v = 2n (l_(2) - l_(1)) . (D) Identify the first and second resonating lengths when the tuning fork of frequency (n) is used from the given information . Let it be l_(1) and l_(2) . respectively.

    If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz , first resonance was observed at 30.7 cm and second was obtained at 63.2 cm , then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332m//s

    If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s)

    Home
    Profile