Statement 1: To observe diffraction of light the size of obstacle/aperture should be of the order of ${10}^{-7}\mathrm{m}.$

Statement 2: ${10}^{-7}\mathrm{m}$ is the order of wavelength of visible light.

For diffraction to occur, the size of an obstacle and aperture is comparable to the wavelength of light wave. The order of wavelength of light wave is ${10}^{-7}\mathrm{m}$ so diffraction occurs.