The ratio of the amplitude of the incident wave to the reflected wave can be found using the formula for the ratio of maximum to minimum amplitude in a wave pattern formed by reflection. The formula is given by:

b = (1 + R) / (1 - R)

where:
b is the ratio of maximum to minimum amplitude,
R is the ratio of the amplitude of the reflected wave to the incident wave.

Given that b = 1.5, we can substitute this into the formula and solve for R:

1.5 = (1 + R) / (1 - R)

Multiplying both sides by (1 - R) gives:

1.5 * (1 - R) = 1 + R

Expanding the left side gives:

1.5 - 1.5R = 1 + R

Rearranging terms gives:

2.5R = 0.5

Finally, dividing both sides by 2.5 gives:

R = 0.5 / 2.5 = 0.2

So, the ratio of the amplitude of the incident wave to the reflected wave is 0.2.

Question

The ratio of the amplitude of the incident wave to the reflected wave can be found using the formula for the ratio of maximum to minimum amplitude in a wave pattern formed by reflection. The formula is given by:

b = (1 + R) / (1 - R)

where:
b is the ratio of maximum to minimum amplitude,
R is the ratio of the amplitude of the reflected wave to the incident wave.

Given that b = 1.5, we can substitute this into the formula and solve for R:

1.5 = (1 + R) / (1 - R)

Multiplying both sides by (1 - R) gives:

1.5 * (1 - R) = 1 + R

Expanding the left side gives:

1.5 - 1.5R = 1 + R

Rearranging terms gives:

2.5R = 0.5

Finally, dividing both sides by 2.5 gives:

R = 0.5 / 2.5 = 0.2

So, the ratio of the amplitude of the incident wave to the reflected wave is 0.2.

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