A wave pulse starts propagating in the +x-direction along a non-uniform wire of length 10 m with mass per unit length given by `mu=mu_(0)+az` and under a tension of 100 N. find the time taken by a pulse to travel from the lighter end (x=0) to the heavier end. `(mu_(0)=10^(2) kg//m and a=9xx10^(-3)kg//m^(2)).

Explanation

To solve the problem of finding the time taken by a wave pulse to travel from the lighter end (x=0) to the heavier end (x=10 m) of a non-uniform wire, we will follow these steps:

### Step 1: Understand the given parameters
We have:
- Length of the wire, \( L = 10 \, \text{m} \)
- Tension in the wire, \( T = 100 \, \text{N} \)
- Mass per unit length, \( \mu(x) = \mu_0 + a x \)
- Where \( \mu_0 = 10^2 \, \text{kg/m} = 100 \, \text{kg/m} \)
...