# The length of the string of a musical instrument is $$90$$ cm and has a fundamental frequency of $$120$$ Hz. Where should it be pressed to produce a fundamental frequency of $$180$$ Hz?  1. $$75$$ cm 2. $$60$$ cm 3. $$45$$ cm 4. $$80$$ cm

Subtopic:  Standing Waves |
82%
From NCERT
NEET - 2020
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A string is cut into three parts, having fundamental frequencies n1, n2, and nrespectively. The original fundamental frequency "n" is related by the expression:

1. $\frac{1}{n}=\frac{1}{{n}_{1}}+\frac{1}{{n}_{2}}+\frac{1}{{n}_{3}}$

2. $n={n}_{1}×{n}_{2}×{n}_{3}$

3. $n={n}_{1}+{n}_{2}+{n}_{3}$

4. $n=\frac{{n}_{1}+{n}_{2}+{n}_{3}}{3}$

Subtopic:  Standing Waves |
84%
From NCERT
AIPMT - 2000
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Two vibrating tuning forks produce progressive waves given by $$Y_1 = 4 ~\mathrm{sin}~500 \pi \mathrm{t}$$ and $$Y_2 = 2 ~\mathrm{sin}~506 \pi \mathrm{t}$$. The number of beats produced per minute is:

 1 $$3$$ 2 $$360$$ 3 $$180$$ 4 $$60$$
Subtopic:  Beats |
57%
From NCERT
AIPMT - 2005
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If a standing wave having 3 nodes and 2 antinodes is formed within 1.21 Å distance, then the wavelength of the standing wave will be:
1. 1.21 Å
2. 2.42 Å
3. 0.605 Å
4. 4.84 Å

Subtopic:  Standing Waves |
78%
From NCERT
AIPMT - 1998
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A point source emits sound equally in all directions in a non-absorbing medium. Two points, P and Q, are at distances of $$2$$ m and $$3$$ m, respectively, from the source. The ratio of the intensities of the waves at P and Q is:
1. $$3:2$$
2. $$2:3$$
3. $$9:4$$
4. $$4:9$$

Subtopic:  Energy of Waves |
73%
From NCERT
AIPMT - 2005
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A cylindrical tube (L = 125 cm) is resonant with a tuning fork at a frequency of 330 Hz. If it is filled with water, then to get the resonance again, the minimum length of the water column will be: $\left({v}_{air}$ $=$ $330$ $m/s\right)$

 1 50 cm 2 60 cm 3 25 cm 4 20 cm
Subtopic:  Standing Waves |
From NCERT
AIPMT - 1999
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The phase difference between two waves, represented by
$\begin{array}{l}{\mathrm{y}}_{1}={10}^{-6}\mathrm{sin}\left\{100\mathrm{t}+\left(\mathrm{x}/50\right)+0.5\right\}\mathrm{m}\\ {\mathrm{y}}_{2}={10}^{-6}\mathrm{cos}\left\{100\mathrm{t}+\left(\frac{\mathrm{x}}{50}\right)\right\}\mathrm{m}\end{array}$
where X is expressed in metres and t is expressed in seconds, is approximate:

Subtopic:  Wave Motion |
59%
From NCERT
AIPMT - 2004
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If a wave is travelling in a positive $$x\text-$$direction with $$A= 0.2~\text{m}$$$$v=360~\text{m/s}$$, and $$\lambda= 60~\text{m}$$, then the correct expression for the wave will be:
 1 $${y}=0.2 \sin \left[2 \pi\left(6{t}+\frac{x}{60}\right)\right]$$ 2 $${y}=0.2 \sin \left[ \pi\left(6{t}+\frac{x}{60}\right)\right]$$ 3 $${y}=0.2 \sin \left[2 \pi\left(6{t}-\frac{x}{60}\right)\right]$$ 4 $$y=0.2 \sin \left[ \pi\left(6{t}-\frac{x}{60}\right)\right]$$
Subtopic:  Wave Motion |
85%
From NCERT
AIPMT - 2002
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Which of the following statements is/are correct.

 a. Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways is transverse and longitudinal, both. b. Waves produced in a cylinder containing a liquid by moving its piston back and forth is longitudinal. c. Waves produced by a motorboat sailing in water are transverse and longitudinal, both. d. Ultrasonic waves in air produced by a vibrating quartz crystal are longitudinal.

1. (a), (b) and (d)
2. (b) and (d)
3. (a), (c) and (d)
4. All are correct

Subtopic:  Types of Motion |
61%
From NCERT
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A steel wire $$0.72~\text{m}$$ long has a mass of $$5\times10^{-3}~\text{kg}$$. If the wire is under tension of $$60~\text{N}$$, the speed of transverse waves on the wire will be:
1. $$85~\text{m/s}$$
2. $$83~\text{m/s}$$
3. $$93~\text{m/s}$$
4. $$100~\text{m/s}$$

Subtopic:  Travelling Wave on String |
71%
From NCERT
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