Waves Questions and Answers Part-19

1.If the ratio of amplitude of wave is 2 : 1, then the ratio of maximum and minimum intensity is
a) 9 : 1
b) 1 : 9
c) 4 : 1
d) 1 : 4

Answer: a
Explanation:
q181

2. The two interfering waves have intensities in the ratio 9 : 4. The ratio of intensities of maxima and minima in the interference pattern will be
a) 1 : 25
b) 25 : 1
c) 9 : 4
d) 4 : 9

Answer: b
Explanation:
q182

3.If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be
a) 16 : 18
b) 18 : 16
c) 49 : 1
d) 1 : 49

Answer: c
Explanation:
q183

4. Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of maximum to the minimum intensity, is equal to
a) 2 : 1
b) 4 : 1
c) 9 : 1
d) 10 : 8

Answer: b
Explanation:
q184

5.The displacement of the interfering light waves are \[y_{1}=4\sin \omega t,y_{2}=3\sin \left(\omega t+\frac{\pi}{2}\right)\]
What is the amplitude of the resultant wave
a) 5
b) 7
c) 1
d) 0

Answer: a
Explanation:
q185

6. Two waves are represented by \[y_{1}=a\sin \left(\omega t +\frac{\pi}{6}\right),y_{2}=a\cos \omega t\]       . What will be their resultant amplitude
a) a
b) \[\sqrt{2}a\]
c) \[\sqrt{3}a\]
d) 2a

Answer: c
Explanation:
q186

7.The amplitude of a wave represented by displacement equation \[y=\frac{1}{\sqrt{a}}\sin \omega t\pm \frac{1}{\sqrt{b}}\cos \omega t\]
will be
a) \[\frac{a+b}{ab}\]
b) \[\frac{\sqrt{a}+\sqrt{b}}{ab}\]
c) \[\frac{\sqrt{a}\pm\sqrt{b}}{ab}\]
d) \[\sqrt{\frac{a+b}{ab}}\]

Answer: d
Explanation:
q187
q187a

8.Two waves having equations
\[x_{1}= a\sin\left(\omega t+\phi_{1}\right),x_{2}= a\sin\left(\omega t+\phi_{2}\right)\]
If in the resultant wave the frequency and amplitude remain equal to those of superimposing waves. Then phase difference between them is
a) \[\frac{\pi}{6}\]
b) \[\frac{2\pi}{3}\]
c) \[\frac{\pi}{4}\]
d) \[\frac{\pi}{3}\]

Answer: b
Explanation: Superposition of waves does not alter the frequency of resultant wave and resultant amplitude
q188

9.Two tuning forks when sounded together produced 4 beats/sec. The frequency of one fork is 256. The number of beats heard increases when the fork of frequency 256 is loaded with wax. The frequency of the other fork is
a) 504
b) 520
c) 260
d) 252

Answer: c
Explanation:
q189

10.Beats are the result of
a) Diffraction
b) Destructive interference
c) Constructive and destructive interference
d) Superposition of two waves of nearly equal frequency

Answer: d
Explanation: Superposition of two waves of nearly equal frequency