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Question

Which of the following statements are correct?
(A) Total internal reflection occurs when a ray of light travels from a rarer transparent medium to a denser medium.
(B) In total internal reflection, the incident ray of light remains in the same medium after reflection.
(C) In total internal reflection, the angle of incidence inside the denser transparent medium is equal to the angle of reflection in the same medium.
(D) In total internal reflection inside a denser medium there is no angle of refraction
Choose the correct answer from the options given below:

The correct answer is
(B), (C) and (D) only

Understanding Total Internal Reflection Conditions

Total Internal Reflection (TIR) is a phenomenon where a wave, like light, travels from a denser medium to a rarer medium and is completely reflected back into the denser medium. This occurs under specific conditions related to the angle of incidence and the properties of the media involved.

Analyzing Statements on Total Internal Reflection

Let's examine each statement to determine its correctness regarding Total Internal Reflection:

  • Statement (A): Total internal reflection occurs when a ray of light travels from a rarer transparent medium to a denser medium.
    • Analysis: This statement is incorrect. Total internal reflection happens only when light travels from a medium with a higher refractive index (denser medium) to a medium with a lower refractive index (rarer medium). For example, from water to air.
  • Statement (B): In total internal reflection, the incident ray of light remains in the same medium after reflection.
    • Analysis: This statement is correct. The defining characteristic of TIR is that the light does not pass into the second (rarer) medium; instead, it is entirely reflected back into the first (denser) medium. This behavior is similar to reflection from a mirror.
  • Statement (C): In total internal reflection, the angle of incidence inside the denser transparent medium is equal to the angle of reflection in the same medium.
    • Analysis: This statement is correct. Total internal reflection is a form of reflection. Therefore, it must obey the fundamental law of reflection, which states that the angle of incidence ($\theta_i$) is always equal to the angle of reflection ($\theta_r$). Both angles are measured with respect to the normal to the surface. So, $\theta_i = \theta_r$.
  • Statement (D): In total internal reflection inside a denser medium there is no angle of refraction.
    • Analysis: This statement is correct. When total internal reflection occurs, it means that refraction does not happen. The angle of incidence exceeds the critical angle ($\theta_c$), preventing the light ray from entering the rarer medium. If light were refracted, there would be an angle of refraction. Since TIR means all light is reflected, there is no refracted ray and thus no angle of refraction.

Conclusion on Correct Statements

Based on the analysis, statements (B), (C), and (D) accurately describe aspects of Total Internal Reflection.

Identifying the Correct Option

The option that includes only the correct statements (B), (C), and (D) is the correct answer.

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Important Questions from Ray Optics and Optical Instruments

  1. A Convex mirror produces the magnification 1/3 and 1/4 when the object is placed at the points P and Q in front of the mirror.

  2. Which of the following statements are correct?

    • A. The saturation current is constant with collector plate potential for different frequencies of incident radiation.
    • B. The saturation current is different with collector plate potential for different frequencies of incident radiation.
    • C. The saturation current is different with collector plate potential for different intensity of incident radiation.
    • D. The saturation current is constant with collector plate potential for different intensity of incident radiation.
    • E. Below threshold frequency, no photoelectrons are emitted.

    Choose the correct answer from the options given below:

  3. For insulators and semiconductors, the resistance decreases with an increase in temperature because:

  4. A ray of light passes through four transparent media with refractive index μ1, μ2, μ3, and μ4 as shown in the figure. The surfaces of all media are parallel. If BC and DE are parallel, we must have:

  5. Light of uniform intensity shines perpendicularly on a totally absorbing surface, fully illuminating the surface. If the area of the surface is decreased, what is the effect on radiation pressure?

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