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JIPMER 2005

Exam: JIPMER
Year: 2005
Subject: Physics
Chapter: Waves and Sound

JIPMER 2005 · Physics · Waves and Sound

A closed orgon pipe and an open orgon pipe are tuned to the same...

A closed orgon pipe and an open orgon pipe are tuned to the same fundamental frequency. What is the ratio of their lengths?

Options

A $1: 2$
B $2: 1$
C $2: 3$
D $4: 3$

Correct answer

A. $1: 2$

Step-by-step solution

Avoiding end correction, the length of the closed organ pipe is

l_1=\frac{\lambda_1}{4}

or

\lambda_1=4 l_1

The length of open organ pipe is

l_2=\frac{\lambda_2}{2}

or

\lambda_2=2 l_2

Here,

n_1=n_2

So,

\frac{v}{\lambda_1}=\frac{v}{\lambda_2}

or

\frac{v}{4 l_1}=\frac{v}{2 l_2}

Therefore,

l_1: l_2=1: 2

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