A 2 meter long scale with least count of \(0.2\mathrm{cm}\) is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at \(80\mathrm{cm}\) mark and \(1\mathrm{m}\) mark respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at \(180\mathrm{cm}\) mark. The % error in the estimation of focal length is:

[JEE Main 2023, 6 Apr (Shift 2)]

Question

A 2 meter long scale with least count of \(0.2\mathrm{cm}\) is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at \(80\mathrm{cm}\) mark and \(1\mathrm{m}\) mark respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at \(180\mathrm{cm}\) mark. The % error in the estimation of focal length is:

[JEE Main 2023, 6 Apr (Shift 2)]

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