Two waves represented by `y_1=10 sin (2000 pi t)` and `y_2=10 sin (2000 pi t + pi//2)` superposed at any point at a particular instant. The resultant amplitude is

Options

A. 10 units
B. 20 units
C. 14.1 units
D. zero

Explanation

To find the resultant amplitude of the two waves given by \( y_1 = 10 \sin(2000 \pi t) \) and \( y_2 = 10 \sin(2000 \pi t + \frac{\pi}{2}) \), we can follow these steps:

### Step 1: Identify the amplitudes and phases of the waves
The first wave \( y_1 \) has:
- Amplitude \( A_1 = 10 \)
- Phase \( \phi_1 = 2000 \pi t \)

The second wave \( y_2 \) has:
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