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PhysicsMediumGraph based2009 ยท Unknown

Q22.In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance u and the image distance v, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of 45โˆ˜ with the x-axis meets the experimental curve at P . The coordinates of P will be (1) (2f, 2f) (2) ( f2 , f2 ) (3) (f, f) (4) (4f, 4f)

What This Question Tests

This question requires interpreting the lens formula in the context of a u-v graph. The point where u=v implies that the object and image distances are equal, which for a convex lens occurs when both are at 2f.

Concepts Tested

Lens formulaSign conventionsGraph plotting for lenses

Formulas Used

1/f = 1/v - 1/u

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