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Consider the following diagram represent...

Consider the following diagram representing magnitude of magnification against image distance for a convex lens:

`{:("Column I","Column II"),((A)"Focal length of the lens",(p)"Inverse of slope of line"),((B)"Intercept on x- axis",(q) "Unity"),((C)"Intercept on y-axis" , (r) "Focal length") , ((D) "Magnitude of slope of the line(s)", (s) "Inverse of the focal length"):}`

Text Solution

Verified by Experts

The correct Answer is:
(A)-p (B)-r (C)-q (D)-s
`m= (v-f)/(f) = (v)/(f) - 1 (therefore y = mx+c`)
m = slope = `(1)/(f)` (magnitude of slope of line)
Intercet on y axis c =-1 (unity)
Intercet on x-axis `implies m =0`
`implies 0 = (v)/(f) -1 implies v = f `(focal length)
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