A wave along a string has the equation `y = 0.02 sin (30 t - 4x)`, where x and y are in m and t in second the amplitude of the wave is

Options

A. 0.02 cm
B. 0.02 m
C. 4m
D. 0.4 cm

Explanation

To find the amplitude of the wave given by the equation \( y = 0.02 \sin(30t - 4x) \), we can follow these steps:

### Step 1: Identify the wave equation
The wave equation is given as:
\[ y = 0.02 \sin(30t - 4x) \]

### Step 2: Compare with the standard wave equation
The standard form of a wave equation is:
\[ y = A \sin(\omega t - kx) \]
where:
- \( A \) is the amplitude,
- \( \omega \) is the angular frequency,
- \( k \) is the wave number.

### Step 3: Extract the amplitude
From the given wave equation, we can see that:
- The coefficient of the sine function is \( 0.02 \).

Thus, we can conclude that:
\[ A = 0.02 \, \text{m} \]

### Step 4: State the final answer
The amplitude of the wave is:
\[ \text{Amplitude} = 0.02 \, \text{m} \]