A person sitting at a distance of `10m` from a point source of sound of power `W_(0)` writes down the following equation for the waves received by him.
`y=Asin(20pix+7000pit)`
`(a)` Determine the density of the air, if the Bulk modules of air `=1.40xx10^(5)Nm^(-2)`
`(b)` If the largest pressure amplitude tolerable to a human car is `28Pa` then determine the maximum power `W_(0)` of the second source and the displacement amplitude `A` of the waves receive by him.

Explanation

To solve the given problem step by step, we will break it down into two parts as specified.

### Part (a): Determine the density of the air

1. **Identify the wave equation**: The equation given is \( y = A \sin(20\pi x + 7000\pi t) \).
- Here, \( k = 20\pi \) (wave number) and \( \omega = 7000\pi \) (angular frequency).

2. **Calculate the velocity of sound**: The velocity \( v \) of the sound wave can be calculated using the formula:
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