A string is stretched between fixed points separated by $$75.0~\text{cm}$$. It is observed to have resonant frequencies of $$420~\text{Hz}$$ and $$315~\text{Hz}$$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is:
1. $$155 \mathrm{~Hz}$$
2. $$205 \mathrm{~Hz}$$
3. $$10.5 \mathrm{~Hz}$$
4. $$105 \mathrm{~Hz}$$

Subtopic: Â Standing Waves |
Â 78%
From NCERT
NEET - 2015
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The fundamental frequency of a closed organ pipe of a length $$20$$ cm is equal to the second overtone of an organ pipe open at both ends. The length of the organ pipe open at both ends will be:

 1 $$80$$ cm 2 $$100$$ cm 3 $$120$$ cm 4 $$140$$ cm
Subtopic: Â Standing Waves |
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From NCERT
NEET - 2015
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If $$n_1$$, $$n_2$$, and $$n_3$$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $$n$$ of the string is given by:
1. $$\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$$
2. $$\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}$$
3. $$\sqrt{n}=\sqrt{n_1}+\sqrt{n_2}+\sqrt{n_3}$$
4. $$n=n_1+n_2+n_3$$

Subtopic: Â Standing Waves |
Â 77%
From NCERT
AIPMT - 2014
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The number of possible natural oscillations of the air column in a pipe closed at one end of length $$85$$ cm whose frequencies lie below $$1250$$ Hz are:(velocity of sound= $$340~\text{m/s}$$
1. $$4$$
2. $$5$$
3. $$7$$
4. $$6$$

Subtopic: Â Standing Waves |
Â 68%
From NCERT
AIPMT - 2014
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If we study the vibration of a pipe open at both ends, then which of the following statements is not true:

 1 Odd harmonics of the fundamental frequency will be generated. 2 All harmonics of the fundamental frequency will be generated. 3 Pressure change will be maximum at both ends. 4 The open end will be an antinode.
Subtopic: Â Standing Waves |
Â 57%
From NCERT
AIPMT - 2013
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The length of a wire between the two ends of a sonometer is $$100$$ cm. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio $$1:3:5$$?
1. $$\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm}$$
2. $$\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm}$$
3. $$\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm}$$
4. $$\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}$$
Subtopic: Â Standing Waves |
From NCERT
NEET - 2013