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 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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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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The equations of two waves are given as x = acos(ωt + δ) and y = a cos (ωt + $\alpha$), where δ = $\alpha$ + $\pi$/2, then the resultant wave can be represented by:

1. a circle (c.w)

2. a circle (a.c.w)

3. an ellipse (c.w)

4. an ellipse (a.c.w)

Subtopic:  Standing Waves |
52%
From NCERT
AIPMT - 2000
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If the tension and diameter of a sonometer wire of fundamental frequency n are doubled and density is halved, then its fundamental frequency will become:

1. $\frac{n}{4}$

2.  $\sqrt{2}$ $n$ 

3.  n

4.  $\frac{n}{\sqrt{2}}$

Subtopic:  Standing Waves |
65%
From NCERT
AIPMT - 2001
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Two waves have the following equations:

${x}_{1}$ $=$ $a$ $\mathrm{sin}$ $\left(\omega t$ $+$ ${\varphi }_{1}\right)$
${x}_{2}$ $=$ $a$ $\mathrm{sin}$ $\left(\omega t$ $+$ ${\varphi }_{2}\right)$

If in the resultant wave, the frequency and amplitude remain equal to the amplitude of superimposing waves, then the phase difference between them will be:

1.  $\frac{\mathrm{\pi }}{6}$

2. $\frac{2\mathrm{\pi }}{3}$

3. $\frac{\mathrm{\pi }}{4}$

4. $\frac{\mathrm{\pi }}{3}$

Subtopic:  Standing Waves |
74%
From NCERT
AIPMT - 2001
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