Q1. 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 (v) are Δu and Δv , respectively. The error in the measurement of the focal length of the convex lens will be: (1) 2f [ Δuu + Δvv ] (2) Δuu + Δvv (3) f 2 [ Δuu2 + Δvv2 ] (4) f [ Δuu + Δvv ]
What This Question Tests
This question tests the application of error propagation rules to derive the error in focal length measurement using the lens formula, requiring differentiation and summation of fractional errors.
Concepts Tested
Formulas Used
1/f = 1/v - 1/u
Δf/f² = Δu/u² + Δv/v²
📚 NCERT Sections This Tests
9.19 — A Screen Is Placed 90Cm From An Object. The Image Of The Object On
Physics Class 12 · Chapter 9
9.19 A screen is placed 90cm from an object. The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm. Determine the focal length of the lens.
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
9.20 — (A) Determine The ‘Effective Focal Length’ Of The Combination Of
Physics Class 12 · Chapter 9
9.20 (a) Determine the ‘effective focal length’ of the combination of the two lenses in Exercise 9.10, if they are placed 8.0cm apart with their principal axes coincident. Does the answer depend on which side of the combination a beam of parallel light is incident? Is the notion of effective focal length of this system useful at all? (b) An object 1.5 cm in size is placed on the side of the convex lens in the arrangement (a) above. The distance between the object and the convex lens is 40 cm. Determine the magnification produced by the two-lens system, and the size of the image.
📋 Question Details
- Chapter
- Units & Measurements
- Topic
- Error Analysis
- Year
- 2024
- Shift
- 04 Apr Shift 1
- Q Number
- Q1
- Type
- MCQ
- NCERT Ref
- Class 11 Physics Ch 2: Units & Measurements
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