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?

Question Image

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

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

b

None of above

c

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

d

Magnitude of intercept on m-axis is equal to unity

answer is A, B, C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
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?