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, we need to find the time taken by a wave pulse to travel from the lighter end of a non-uniform wire to the heavier end. The mass per unit length of the wire is given by \( \mu = \mu_0 + az \), where \( \mu_0 = 10^2 \, \text{kg/m} \), \( a = 9 \times 10^{-3} \, \text{kg/m}^2 \), and the tension \( T = 100 \, \text{N} \).

### Step-by-Step Solution:

1. **Identify the Speed of the Wave**:
The speed of a transverse wave on a string is given by the formula:
\[
v = \sqrt{\frac{T}{\mu}}
...