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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
X-rays

Concepts Of Physics MCQ Edition [Volume 2] · Physics · X-rays

When visible light travels through a circular hole, it produces a...

When visible light travels through a circular hole, it produces a diffraction disc of radius 0.1 mm0.1 \text{ mm} on a screen. If X-rays are transmitted through the identical set-up, the radius of the diffraction disc will be

Options

  1. A>0.1 mm> 0.1 \text{ mm}
  2. B0.1 mm0.1 \text{ mm}
  3. Czero
  4. D<0.1 mm< 0.1 \text{ mm}

Correct answer

D. <0.1 mm< 0.1 \text{ mm}

Step-by-step solution

The radius of the central diffraction disc (Airy disc) produced by a circular aperture on a screen is given by:

r=1.22λDdr = \dfrac{1.22 \lambda D}{d}

where λ\lambda is the wavelength of the light, DD is the distance from the hole to the screen, and dd is the diameter of the hole.

For a given experimental set-up, DD and dd are constant, which implies r∝λr \propto \lambda.

The wavelength of X-rays is much smaller than the wavelength of visible light (λX-rays<λvisible\lambda_{\text{X-rays}} < \lambda_{\text{visible}}).

Therefore, the radius of the diffraction disc produced by X-rays will be smaller than that produced by visible light.

rX-rays<0.1 mmr_{\text{X-rays}} < 0.1 \text{ mm}
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