Q45 / 55 · KVPY 2020 (SA) · Physics

The following graph depicts the inverse of magnification versus the distance between the object and lens data for a setup. The focal length of the lens used in the setup is

Figure

Distance between the object and the lens m

  • A
    250 m
  • Correct answer
    B
    0.004 m
  • C
    125 m
  • D
    0.002 m

Solution

Magnification m=+1u

From lens formula,

1v-1u=1f⇒uv-1=uf⇒uv=uf+1

∴ graph between uv [inverse of magnification] and u will be straight line with slope 1f

From graph, slope =250

∴ f=1250 m=0.004 m

Hence, the correct answer is option: 'B'.

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