A square card of side length 1, mm is being s | vedclass

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

Question

(A) Given: Object distance $u = -9\, cm$,Focal length $f = 10\, cm$.Using the lens formula: $\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$.Substituting the

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Given: Object distance $u = -9\, cm$,Focal length $f = 10\, cm$.Using the lens formula: $\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$.Substituting the values: $\frac{1}{v} - \frac{1}{-9} = \frac{1}{10} \Rightarrow \frac{1}{v} + \frac{1}{9} = \frac{1}{10}$.Solving for $v$: $\frac{1}{v} = \frac{1}{10} - \frac{1}{9} = \frac{9 - 10}{90} = -\frac{1}{90}$.Thus,$v = -90\, cm$.The linear magnification $m$ is given by $m = \frac{v}{u} = \frac{-90}{-9} = 10$.The area magnification is $m^2 = (10)^2 = 100$.The original area of the card $A_0 = (1\, mm)^2 = 1\, mm^2 = 0.01\, cm^2$.The apparent area $A_i = m^2 	imes A_0 = 100 	imes 0.01\, cm^2 = 1\, cm^2$.

$A$ square card of side length $1\, mm$ is being seen through a magnifying lens of focal length $10\, cm$. The card is placed at a distance of $9\, cm$ from the lens. The axis is perpendicular to the plane of the card. The apparent area of the card through the lens is......$cm^2$

Similar Questions

$A$ lens has a power of $-4.0 \text{ Diopter}$. This means . . . . . . .

$A$ convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens material. Then its focal length will

The height of the image formed by a converging lens on a screen is $8\,cm$. For the same position of the object and screen,another image of size $12.5\,cm$ is formed on the screen by shifting the lens. The height of the object is...

The far point of a nearsighted person is $6.0 \, m$ from her eyes,and she wears contact lenses that enable her to see distant objects clearly. $A$ tree is $18.0 \, m$ away and $2.0 \, m$ high. How high is the image formed by the contact lenses?

An object is placed at a distance of $1.50 \, m$ from a screen. $A$ convex lens is placed between them to produce a four times magnified image on the screen. The focal length of the lens is ..... $cm$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module