The graph between the lateral magnification ( | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a lens,the lateral magnification $m$ is given by the formula:$m = \frac{v}{u}$From the lens formula,$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$,

Vedclass · Accepted Answer

Vedclass · Answer

(C) For a lens,the lateral magnification $m$ is given by the formula:$m = \frac{v}{u}$From the lens formula,$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$,we can write $\frac{1}{u} = \frac{1}{v} - \frac{1}{f} = \frac{f - v}{vf}$.Substituting this into the magnification formula:$m = v 	imes \left( \frac{f - v}{vf} ight) = \frac{f - v}{f} = 1 - \frac{v}{f}$This can be rewritten as:$m = \left( -\frac{1}{f} ight) v + 1$Comparing this with the equation of a straight line $y = mx + c$,where $y = m$ (magnification),$x = v$ (image distance),slope $= -\frac{1}{f}$,and intercept $c = 1$. Since the slope is negative,the graph is a straight line with a negative slope and a positive y-intercept. This corresponds to the graph shown in option $(C)$.

The graph between the lateral magnification $(m)$ produced by a lens and the distance of the image $(v)$ is given by

Similar Questions

$A$ student measures the focal length of a convex lens by placing an object pin at a distance '$u$' from the lens and measuring the distance '$v$' of the image pin. The graph between '$u$' and '$v$' plotted by the student should look like:

The size of the real image produced by a convex lens of focal length $F$ is '$m$' times the size of the object. The image distance from the lens is

If the aperture of a lens is halved,then the image will be:

The radii of curvature of both surfaces of a convex lens of focal length $f$ and focal power $P$ are equal. One of the surfaces is made plane by grinding. The new focal length and focal power of the lens are respectively:

$A$ substance is behaving as a convex lens in air and a concave lens in water. What is its refractive index?

Vedclass Test Series

Exam Paper Generator

Online Exam Module