Standing Waves Absorb Before You Solve MCQs Waves Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

The equation of vibration of a taut string, fixed at both ends, is given by:

y = (4 mm) \cos (\frac{π x}{30 cm}) \sin (400 π s^{- 1} t) .

$y=(4~\text{mm})~\cos\Big(\dfrac{\pi x}{30~\text{cm}}\Big)~\sin\Big(400\pi~ \text{s}^{-1}t\Big) .$ The speed of waves on the string is:
1.

30 m/s

$30~\text{m/s}$
2.

60 m/s

$60~\text{m/s}$
3.

90 m/s

$90~\text{m/s}$
4.

120 m/s

$120~\text{m/s}$

Subtopic: Standing Waves |

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Q2:

The separation between a node and the next antinode in a vibrating air column is $20$ cm. The speed of sound is $320$ m/s. The frequency of sound is:
1. $128$ Hz
2. $256$ Hz
3. $400$ Hz
4. $800$ Hz

Subtopic: Standing Waves |

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Q3:

The fundamental frequencies of a closed pipe and an open pipe are identical. The first overtone for the closed pipe is

f_{c}

$f_c$ and for the open pipe is

f_{o} .

$f_o.$ Their ratio

\frac{f_{c}}{f_{o}}

$\dfrac{f_c}{f_o}$ is:

1.	$1$	2.	$1/2$
3.	$2/3$	4.	$3/2$

Subtopic: Standing Waves |

70%

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Q4:

The first overtone of a closed pipe has a frequency

f_{c} .

$f_c.$ A frequency that is

2 f_{c}

$2f_c$ can be excited from an open pipe of the same length but vibrating in its:

1.	$2^{\text{nd}}$ harmonic	2.	$3^{\text{rd}}$ harmonic
3.	$6^{\text{th}}$ harmonic	4.	$12^{\text{th}}$ harmonic

Subtopic: Standing Waves |

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Q5:

A string of length $l$ is fixed at both ends and is vibrating in second harmonic. The amplitude at antinode is $2$ mm. The amplitude of a particle at a distance $l/8$ from the fixed end is:

1. $2\sqrt2~\text{mm}$
2. $4~\text{mm}$
3. $\sqrt2~\text{mm}$
4. $2\sqrt3~\text{mm}$

Subtopic: Standing Waves |

54%

From NCERT

NEET - 2022

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Q6:

The length of a wire between the two ends of a sonometer is

100

$100$ 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

$1:3:5$ ?
1.

\frac{1500}{23} c m, \frac{500}{23} c m

$\frac{1500}{23} \mathrm{~cm}, \frac{500}{23} \mathrm{~cm}$
2.

\frac{1500}{23} c m, \frac{300}{23} c m

$\frac{1500}{23} \mathrm{~cm}, \frac{300}{23} \mathrm{~cm}$
3.

\frac{300}{23} c m, \frac{1500}{23} c m

$\frac{300}{23} \mathrm{~cm}, \frac{1500}{23} \mathrm{~cm}$
4.

\frac{1500}{23} c m, \frac{2000}{23} c m

$\frac{1500}{23} \mathrm{~cm}, \frac{2000}{23} \mathrm{~cm}$

Subtopic: Standing Waves |

From NCERT

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Q7:

An organ pipe filled with a gas at

27^{\circ} C

$27^\circ \text{C}$ resonates at

400 Hz

$400~\text{Hz}$ in its fundamental mode. If it is filled with the same gas at

90^{\circ} C,

$90^\circ \text{C},$ the resonance frequency at the same mode will be:
1.

420 Hz

$420~\text{Hz}$
2.

440 Hz

$440~\text{Hz}$
3.

484 Hz

$484~\text{Hz}$
4.

512 Hz

$512~\text{Hz}$

Subtopic: Standing Waves |

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