Question

According to the laws of reflection:

• A. angle \(i =\) angle \(r\)
• B. \(\sin i = \sin r\)
• C. \(\dfrac{\sin i}{\sin r} = \text{constant}\)
• D. All of these

Hint:

The most important law of reflection is: [ i = r ] All other relations like (sin i = sin r) directly follow from it.

Answer 1

The Correct Option is D

Step 1: State the law of reflection. One of the fundamental laws of reflection states: \[ \text{Angle of incidence } (i) = \text{Angle of reflection } (r) \] Hence, option (A) is correct. Step 2: Apply trigonometric relation. If \(i = r\), then: \[ \sin i = \sin r \] So, option (B) is also correct. Step 3: Evaluate the ratio. From \(\sin i = \sin r\): \[ \frac{\sin i}{\sin r} = 1 \] which is a constant. Thus, option (C) is correct. Step 4: Final conclusion. Since statements (A), (B), and (C) are all correct, the correct answer is: \[ \boxed{\text{(D) All of these}} \]