Which of the following represent a travelling wave ?

Options

A. `(x-vt)^(2)`
B. `l n(x+vt)`
C. `e^(-(x-vt)^2)`
D. `(1)/(x+vt)`

Explanation

To determine which of the given options represents a traveling wave, we need to analyze each option based on the characteristics of a traveling wave. A traveling wave can be expressed in the form of \( y(x, t) = f(kx \pm \omega t) \), where \( k \) is the wave number and \( \omega \) is the angular frequency. The function must be continuous and single-valued for every value of \( t \).

### Step-by-Step Solution:

1. **Understand the Characteristics of a Traveling Wave**:
- A traveling wave can be represented as \( y(x, t) = f(kx \pm \omega t) \).
- It must be continuous for all values of \( t \) and must yield a single value for each \( (x, t) \) pair.

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