The superposing waves are represented by the following equations : , Ratio of intensities will be :
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The superposing waves are represented by the following equations : , Ratio of intensities will be :
The displacement of a particle is given by . The amplitude of the particle is :
For the given super imposing waves
a1 = 3, a2 = 4 and phase difference
⇒
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 :
If the ratio of amplitude of two waves is 4 : 3. Then the ratio of maximum and minimum intensity will be :
Equation of motion in the same direction is given by , . The amplitude of the medium particle will be
The resultant amplitude is given by
The displacement of the interfering light waves are and . What is the amplitude of the resultant wave :
Since,
⇒
Two waves are represented by and . What will be their resultant amplitude :
Putting a1 = a2 = a and , we get
The amplitude of a wave represented by displacement equation will be
Here phase difference =
∴ The resultant amplitude
=
A tuning fork sounded together with a tuning fork of frequency 256 Hz emits two beats. On loading the tuning fork of frequency 256 Hz with wax, the number of beats heard are 1 per second. The frequency of the other tuning fork is :
nA = Known frequency = 256, nB = ?
x = 2 bps, which is decreasing after loading (i.e. x↓) known tuning fork is loaded so nA↓
Hence nA↓ – nB = x↓ ... (i) → Correct
nB – nA↓ = x↓ ... (ii) → Wrong
⇒ nB = nA – x = 256 – 2 = 254 Hz.
If two tuning forks A and B are sounded together, they produce 4 beats per second. A is then slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256. The frequency of B will be :
nA = Known frequency = 256 Hz, nB = ?
x = 4 bps, which is decreasing after loading (i.e. x↓) also known tuning fork is loaded so nA↓
Hence nA↓ – nB = x↓ ... (i) → Correct
nB – nA↓ = x↓ ... (ii) → Wrong
⇒ nB = nA – x = 256 – 4 = 252 Hz.
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