In a double slit experiment to find the separation between slits by displacement method, the separations of images of slits were found to be 16mm and 9mm respectively. The actual separation between slits will be

Options

A. 12.5 mm
B. 12 mm
C. 3.5 mm
D. 144 mm

Explanation

To find the actual separation between the slits in a double slit experiment using the displacement method, we can follow these steps:

### Step 1: Understand the Problem
In the double slit experiment, we have two measurements of the separation of the images of the slits, which are given as 16 mm and 9 mm. We need to find the actual separation between the slits (D).

### Step 2: Use the Displacement Method Formula
The formula for calculating the actual separation (D) using the displacement method is:
\[ D = \sqrt{L_1 \times L_2} \]
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