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Error in focal length from object and image distances

This type of question, asked 3 times: 30 Jan 2023, 6 Apr 2023, 4 Apr 2024. All 3 questions below, oldest first.

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  1. Question 1

    30 Jan 2023

    30
    In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40 cm40\text{ }cm from the pole of the mirror is formed at distance 120 cm120\text{ }cm from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in 1 cm1\text{ }cm. The value of error in measurement of focal length of the mirror is 1 K cm\frac{1}{\text{ }K}\text{ }cm. The value of KK is
  2. Question 2

    6 Apr 2023

    91
    A 2-meter-long scale with least count of 0.2 cm0.2\text{ }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 cm80\text{ }cm mark and 1 m1\text{ }m mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at 180 cm180\text{ }cm mark. The % error in the estimation of focal length is:

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  3. Question 3

    4 Apr 2024

    4
    In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object (u) and for the position of image ( vv ) are Δu\Delta u and Δv\Delta v, respectively The error in the measurement of the focal length of the convex lens will be :

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