A telescope of diameter 500 cm is used to resolve two points on the moon. Calculate the separation between the points . Take distance of the moon from the Earth `=4 xx 10^(10) cm`, and wavelength of light most sensitive to eye `=5.5 xx 10^(-5) cm`.

Explanation

To solve the problem of calculating the separation between two points on the moon that can be resolved by a telescope, we can use the formula for the limit of resolution given by Rayleigh's criterion:

### Step 1: Understand the formula for the limit of resolution
The limit of resolution \( \theta \) (in radians) can be calculated using the formula:
\[ \theta = \frac{1.22 \lambda}{D} \]
where:
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