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PhysicsMediumNumerical2023 · 30 Jan Shift 1

Q27.In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40 cm from the pole of the mirror is formed at distance 120 cm from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in 1 cm. The value of error in 1 measurement of focal length of the mirror is cm. The value of 𝐾 is ______. 𝐾

What This Question Tests

This question combines the mirror formula with error analysis, requiring calculation of focal length and then estimating the error in its measurement.

Concepts Tested

Mirror formulaFocal length of concave mirrorError analysis (least count, absolute error)

Formulas Used

1/f = 1/v + 1/u

Δf/f² = Δu/u² + Δv/v² (for error propagation)

📚 NCERT Sections This Tests

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Physics Class 12 · Chapter 9

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9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.