Dispersive power of a grating can be defined as :a)Increase of angle of refraction w.r.t. change in wavelengthb)Increase of angle of incidence w.r.t. change in wavelengthc)Increase of angle of diffraction w.r.t. change in wavelengthd)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Dispersive Power of a Grating

The dispersive power of a grating refers to its ability to separate different wavelengths of light. It is a measure of how much the angle of diffraction changes with a change in wavelength.

Definition: The dispersive power of a grating can be defined as the increase in the angle of diffraction with respect to the change in wavelength.

Explanation:

The phenomenon of diffraction occurs when light passes through a narrow slit or a grating. A grating consists of a large number of equally spaced parallel slits or grooves. When a beam of light passes through a grating, it gets diffracted and forms a series of bright and dark fringes on a screen.

The angle of diffraction is the angle between the incident beam of light and the direction of the diffracted beam. It depends on the wavelength of light and the spacing between the slits or grooves on the grating.

When the wavelength of light incident on the grating changes, the angle of diffraction also changes. The dispersive power of a grating refers to the extent of this change in the angle of diffraction with respect to the change in wavelength.

Key Points:
- Dispersive power is a measure of the ability of a grating to separate different wavelengths of light.
- It is defined as the increase in the angle of diffraction with respect to the change in wavelength.
- It depends on the spacing between the slits or grooves on the grating and the wavelength of light.
- The dispersive power of a grating is important in spectroscopy and other applications where the separation of different wavelengths is required.

Conclusion:

The correct answer to the question is option 'c' - increase of angle of diffraction with respect to the change in wavelength. The dispersive power of a grating is defined as the increase in the angle of diffraction with respect to the change in wavelength. It is a measure of the ability of the grating to separate different wavelengths of light.

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