Q17DQ - University Physics with Modern Physics

Question

If a hologram is made using 600-nm light and then viewed with 500-nm light, how will the images look compare to those observed when viewed with 600-nm light? Explain.

Step-by-Step Solution

Answer

When an image is formed using 500 nm light, the image will be distorted and show speckles.

Step 1: Given Data

Holography is a technique for recording and reproducing an image of an object using interference effects. Unlike photography, holography produces a truly three-dimensional image of the object.

To make a hologram two things are required: a cohered light source, and extreme mechanical stability.

Step 2: Change in a hologram image

The radius of the m^th concentric fringe of each hologram is given by

 

${\mathrm{r}}_{\mathrm{m}}=\sqrt{2{\mathrm{m\lambda b}}_{\mathrm{o}}}$ 

 

Where, $\lambda$ = wavelength of the light used to construct the hologram and $b_o$ is the distance between the source and the film. So, if a different wavelength is used to reconstruct the hologram, the circles will be distorted leading to speckles.

Therefore, when a hologram made using 600 nm light is viewed using 500 nm light the image will be distorted and show speckles.