Final answer:
Viewing a hologram with a 10% shorter wavelength than that used during recording can distort the image, leading to detail loss. If viewed with light at half the wavelength, the image may become invisible due to a mismatch in the interference pattern necessary for image reconstruction.
Step-by-step explanation:
When a hologram is recorded using monochromatic light of a certain wavelength but is viewed using light of a different wavelength, the image seen will not match the original recording. If the viewing wavelength is 10% shorter than the recording wavelength, the image may be distorted since the diffraction gratings created on the holographic medium were tuned for the original wavelength. Details may not be accurately reconstructed, leading to a degradation in image quality.
Looking at a hologram with light that has exactly half the original wavelength, the image may not be visible at all. This happens because the interference pattern on the hologram is highly dependent on the wavelength used during recording. A significant shift, such as to half the wavelength, would result in a mismatch that disrupts the reconstruction of the image. Therefore, the option (d) 'The image disappears when viewed at half the original wavelength' is likely to be correct, although such extreme deviations can sometimes produce unexpected results depending on the specific details of the hologram's construction.