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Q. No.

The equation of a stationary wave is given as \(y =A\sin(0.5\pi t)\cos(0.2\pi x)\) where \(t\) is in seconds and \(x\) in centimetres. Which of the following is correct?
1. Wavelength of the component waves is \(10~\text{cm}.\)
2. The separation between a node and the nearest antinode is \(2.5~\text{cm}.\)
3. Frequency of the component wave is \(0.25~\text{Hz}\).
4. All of these
Q1:
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Subtopic:  Standing Waves |
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The equation of vibration of a taut string, fixed at both ends, is given by:
     \(y=(3~\text{mm})~\text{cos}\Big(\frac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})\)
The speed of waves on the string is:
1. \(20\) m/s
2. 40 m/s
3. \(80\) m/s
4. \(160\) m/s
Q2:
 90% From NCERT 
Subtopic:  Standing Waves |
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A standing wave is represented by \(y = A\sin(100t)\cos(0.01x)\) where \(y\) and \(A\) are in millimetres, \(t\) is in seconds and \(x\) is in metres. The velocity of the wave is:
1. \(10^{4}~\text{m/s}\)
2. \(1~\text{m/s}\)
3. \(10^{-4}~\text{m/s}\)
4. Not derivable from the above data
Q3:
 87% From NCERT 
Subtopic:  Standing Waves |
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A string is cut into three parts, having fundamental frequencies \(n_1,n_2,\) and \(n_3\) respectively. 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. \(n= n_1\times n_2\times n_3\)
3. \(n= n_1+ n_2+ n_3\)
4. \(n= \frac{n_1+ n_2+ n_3}{3}\)
Q4:
 85% From NCERT AIPMT - 2000
Subtopic:  Standing Waves |
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A string of length \(l\) is fixed at one end and free at the other. If it resonates in different modes, then the ratio of frequencies is:
1. \(1:2:3:~.......\)
2. \(1:3:5:7~.......\)
3. \(1:2:4:8~.......\)
4. \(1:3:9:~.......\)
Q5:
 82% From NCERT 
Subtopic:  Standing Waves |
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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
Q6:
 82% From NCERT NEET - 2020
Subtopic:  Standing Waves |
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The fundamental frequency of an open organ pipe is \(200~\text{Hz}\). If one end of the pipe is closed, its fundamental frequency becomes:
1. \(100~\text{Hz}\) 2. \(200~\text{Hz}\)
3. \(50~\text{Hz}\) 4. \(400~\text{Hz}\)
Q7:
 80% From NCERT 
Subtopic:  Standing Waves |
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An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is \(50~\text{cm}\). The next larger length of the column resonating with the same tuning fork will be:
1. \(100~\text{cm}\) 2. \(150~\text{cm}\)
3. \(200~\text{cm}\) 4. \(66.7~\text{cm}\)
Q8:
 79% From NCERT NEET - 2016
Subtopic:  Standing Waves |
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The equation of a stationary wave is \(y = 0.8\cos\left(\frac{\pi x}{20}\right)\sin200(\pi t)\), where \(x\) is in cm and \(t\) is in sec. The separation between consecutive nodes will be:
1. \(20~\text{cm}\)
2. \(10~\text{cm}\)
3. \(40~\text{cm}\)
4. \(30~\text{cm}\)
Q9:
 77% From NCERT 
Subtopic:  Standing Waves |
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If a standing wave having \(3\) nodes and \(2\) antinodes is formed within \(1.21~\mathring{A}\) distance, then the wavelength of the standing wave will be:
1. \(1.21~\mathring{A}\)
2. \(2.42~\mathring{A}\)
3. \(0.605~\mathring{A}\)
4. \(4.84~\mathring{A}\)
Q10:
 79% From NCERT AIPMT - 1998
Subtopic:  Standing Waves |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology
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