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

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 = 1.22 D d where is the wavelength of the light, D is the distance from the hole to the screen, and d is the diameter of the hole. For a given experimental set-up, D and d are constant, which implies r . The wavelength of X-rays is much smaller than the wavelength of visible light ( _ X-rays Therefore, the radius of the diffraction disc produced by X-rays will be smaller than that produced by visible li