The object distance u,the image distance v,an | vedclass

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

Question

(D) For a lens,the lens formula is given by $\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$.Rearranging this,we get $\frac{1}{v} = \frac{1}{u} + \frac{1}{f}

Vedclass · Accepted Answer

Both $(a)$ and $(c)$

Vedclass · Answer

(D) For a lens,the lens formula is given by $\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$.Rearranging this,we get $\frac{1}{v} = \frac{1}{u} + \frac{1}{f}$. This is a linear equation of the form $y = mx + c$,where $y = \frac{1}{v}$ and $x = \frac{1}{u}$. Thus,$\frac{1}{v}$ versus $\frac{1}{u}$ is a linear relation.Also,the magnification $m$ is given by $m = \frac{v}{u}$. Using the lens formula $\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$,we can write $\frac{1}{u} = \frac{1}{v} - \frac{1}{f} = \frac{f-v}{fv}$.Substituting this into $m = \frac{v}{u}$,we get $m = v \cdot \left( \frac{f-v}{fv} \right) = \frac{f-v}{f} = 1 - \frac{v}{f}$.This is also a linear equation of the form $y = mx + c$,where $y = m$ and $x = v$. Thus,$m$ versus $v$ is a linear relation.Therefore,both $(a)$ and $(c)$ are correct.

The object distance $u$,the image distance $v$,and the magnification $m$ in a lens follow certain linear relations. These are:

Similar Questions

$A$ man wishing to get a picture of a Zebra photographed a white donkey after fitting a glass with black streaks onto the objective of his camera.

Which of the following is $NOT$ involved in the formation of a secondary rainbow?

$A$ convex lens of focal length $30\,cm$,a concave lens of focal length $120\,cm$,and a plane mirror are arranged as shown. For an object kept at a distance of $60\,cm$ from the convex lens,the final image,formed by the combination,is a real image at a distance of:

$A$ point object $O$ is moving towards a concave mirror as shown in the figure. Choose the correct option representing the direction of the velocity of the image ($F$ is the focus and $C$ is the centre of curvature).

Vedclass Test Series

Exam Paper Generator

Online Exam Module