Q63 / 90 · JEE Main 2023 (06 Apr Shift 2) · Physics
A meter long scale with least count of 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 mark and mark, respectively. The image of the object pin on the other side of lens coincides with image pin that is kept at mark. The error in the estimation of focal length is:
- A
- Correct answerB
- C
- D
Solution
The formula for a lens is given by
Substituting the values in the equation of focal length,
Differentiating the equation (i)
(Only positive sign is considered for error calculation)
The percentage error is
Hence, the correct answer is option: 'B'.