Question

In an experiment for determination of velocity of sound by resonance tube methods using a tuning fork of frequency $512Hz$, first resonance was observed at $30.7cm$ and record was obtained by $63.2cm$. The maximum possible error in velocity of sound (actual velocity of sound in air is $332m/s$) is:

• A. $80cm$
• B. $110cm$
• C. $58cm$
• D. $204cm$

Answer 1

Answer: (A)

$80cm$

Given,

$f=512Hz$

$x_1=30.7cm$

$x_2=63.2cm$

$v_a=332m/s=33200cm/s$

The distance between 1st resonance and 2nd resonance is

$\frac{\lambda }{2}=x_2-x_1$

$\lambda =2(x_2-x_1)$

$\lambda =2(63.2-30.7)cm$

$\lambda =65cm$

The velocity of sound, $v=\lambda f$

$v=65\times 512=33280cm/s$

The maximum possible error in the velocity of sound will be

$error=v_a-v$

$error=33280-33200=80cm/s$

The correct option is A.