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Angle of Deviation Calculator

Enter the angle of incidence and the angle of emergence, and the calculator will determine the angle of deviation.

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The angle of deviation calculator determines the deviation angle by using the angle of incidence and angle of emergence of light passing through a prism.

What is Angle of Deviation?

The angle of deviation is the angle between the original path of an incident light ray and its final direction after passing through a prism or another optical medium.

Angle of Deviation Formula:

The general formula for the angle of deviation (\(\delta \)) in a prism is:

\(\delta =i+e-A\)

Where:

  • \(\delta \) = Angle of deviation
  • \(i\) = Angle of incidence
  • \(e\) = Angle of emergence
  • \(A\) = Angle of the prism (apex angle)

Example Calculation

Suppose a ray of light strikes a prism with an angle of incidence (I) of 10°, an angle of emergence (E) of 35°, and a prism angle (A) of 35°. Calculate the angle of deviation (D).

Given:

I = 10°, E = 35°, A = 35°, D = ?

Solution:

Using the formula D = I + E - A, we substitute the values:

D = 10 + 35 - 35

D = 10°

Angle of Deviation = 10°

Factors Affecting the Angle of Deviation

The deviation angle depends on several variables:

How to Use this Angle of Deviation Calculator?

To use this online calculator, you need to follow the simple steps below:

Input:

  • Enter the angle of incidence, angle of emergence, and prism angle
  • Select the desired unit for the deviation angle
  • Click CALCULATE

Output:

  • The calculated angle of deviation
  • Step-by-step solution

People Also Ask:

Can the angle of deviation be negative?

Yes, if the refracted light bends downward, the deviation can be negative. The calculator displays both upward and downward deviations.

What is the maximum angle of deviation?

The maximum deviation occurs when the angle of incidence reaches 90°.

Which color experiences the greatest deviation?

Violet light deviates the most because it has the shortest wavelength among visible colors.

References

Sources: Wikipedia – Minimum deviation; Toppr.com – Angle of deviation and influencing factors

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