Least count of the screw gauge is given as
$$ \text{LC} = 0.01 \text{ mm} $$
Given that the zero of the circular scale lies 3 divisions above the pitch line, hence there is a positive zero error.
Zero error is
$$ \text{Zero error} = +3 \times 0.01 = +0.03 \text{ mm} $$
Zero correction is equal in magnitude but opposite in sign, hence
$$ \text{Zero correction} = -0.03 \text{ mm} $$
Observed reading of the screw gauge is
$$ \text{Observed reading} = \text{Pitch scale reading} + (\text{Circular scale reading} \times \text{LC}) $$
$$ = 1 + (51 \times 0.01) $$
$$ = 1 + 0.51 = 1.51 \text{ mm} $$
Correct thickness of the sheet is obtained by applying zero correction:
$$ \text{Correct reading} = 1.51 - (-0.03) $$
$$ = 1.54 \text{ mm} $$
Therefore, the correct thickness of the sheet is
$$ \boxed{1.54 \text{ mm}} $$
Updated for JEE Main 2026: This PYQ is important for JEE Mains, JEE Advanced and other competitive exams. Practice more questions from this chapter.