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  • Assertion: A closed pipe and an open pipe cannot be in resonance with the same tuning fork, if the length of the closed pipe is integral multiple of the length of the open pipe. Reas

Assertion: A closed pipe and an open pipe cannot be in resonance with the same tuning fork, if the length of the closed pipe is integral multiple of the length of the open pipe.

Reason: An odd number is not divisible by even numbers.

Option: 1

odd number


Option: 2

even number


Option: 3

none of above


Option: 4

both are wrong


Answers (1)

best_answer

\begin{aligned} & f_{c}=n_{1}\left(\frac{v}{4 m 1}\right) \text { where } n_{1}=1,3,5 \ldots \\ & f_{0}=n_{2}\left(\frac{v}{2 l}\right) \text { where } n_{2}=1,2, \ldots \\ & f_{c}=f_{0}=\frac{n_{1}}{4 m}=\frac{n_{2}}{2} \Rightarrow \frac{n_{1}}{m n_{2}}=2 \therefore \frac{n_{1}}{n_{2}}=2 m \end{aligned}

But this condition can't satisfied with the given numbers.

Posted by

manish

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