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Q.

Figure shows variation of modulus of magnification m(produced by a thin convex lens) and distance v of image from pole of the lens. Which of the following statements are correct?

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a

Focal length of the lens is equal to intercept on v-axis.

b

Focal length of the lens is equal to inverse of slope of the line

c

Magnitude of intercept on m-axis is equal to unity

d

None of above

answer is A, B, C.

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Detailed Solution

 1v1u=1f
1vu=vf..............(i) 
Since m is positive in the given figure, therefore m represents magnitude of the magnification. In fact, if a real image is formed by a convex lens, then the image and object will be on opposite sides of the lens. It means, if v is positive, then u will be negative. Therefore,
 m=vu
Hence, equation (i) becomes
 m=vf1.............(ii)
It means, the graph between m and v will be a straight line having intercept -1 on m-axis and slope of the line tanθ   is equal to (1/f). hence, options (b) and ( c) are correct. Putting m = 0 in equation (ii),   v = f. Hence, (a) is also correct. Obviously, (d) is wrong.

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