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Geometrical Optics question

2024 · 4 Apr · Shift 1 · Q70
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Geometrical Optics question

2024 · 4 Apr · Shift 1 · Q70

JEE MainPhysicsGeometrical OpticsMCQ+4 / −1
In an experiment to measure focal length (fff) 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\Delta uΔu and Δv\Delta vΔv, respectively. The error in the measurement of the focal length of the convex lens will be:
  1. A
    2f[Δuu+Δvv]2 f\left[\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}\right]2f[uΔu​+vΔv​]
  2. B
    f[Δuu+Δvv]f\left[\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}\right]f[uΔu​+vΔv​]
  3. C
    f2[Δuu2+Δvv2]f^2\left[\frac{\Delta \mathrm{u}}{\mathrm{u}^2}+\frac{\Delta \mathrm{v}}{\mathrm{v}^2}\right]f2[u2Δu​+v2Δv​]
  4. D
    Δuu+Δvv\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}uΔu​+vΔv​
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