A sound wave of wavelength `20pi` cm travels in air if the difference between the maximum and minimum pressures at a given point is `3.0xx10^-3 N//m^2`.
Now sound level is increased by 20 dB, if the new amplitude of vibration of the particles of the medium at that given point is 20k (in `Å`) then 'k' is : (The bulk modulus of air is `1.5xx10^5 N//m^2`) (wavelength is same in both cases )

Explanation

To solve the problem, we need to find the value of \( k \) given the conditions of the sound wave and the changes in sound level. Let's break down the steps:

### Step 1: Understand the relationship between sound level and intensity
The sound level in decibels (dB) is related to the intensity of the sound waves. The formula for sound level \( \beta \) in decibels is given by:

\[ \beta = 10 \log_{10} \left( \frac{I}{I_0} \right) \]
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