The radius of curvature of a conave mirror, measured by a sphermoeter is given by `R = (I^2)/(6h) +(h)/(2)` The values of I and h are 4.0 cm and 0.065 cm respectively, where I is measured by a metre scalel and h by a shpermoeter. Find the relative error in the measurement of R.

Explanation

To find the relative error in the measurement of the radius of curvature \( R \) of a concave mirror, we will follow these steps:

### Step 1: Identify the formula for \( R \)
The radius of curvature \( R \) is given by the formula:
\[ R = \frac{I^2}{6h} + \frac{h}{2} \]
where \( I \) is the distance measured by a meter scale and \( h \) is the height measured by a spherometer.
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