Assertion : Position of image approaches focu | vedclass

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

Question

(A) The lens formula is given by $\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$.As the object distance $u$ approaches infinity $(\infty)$,the term $\frac{1

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) The lens formula is given by $\frac{1}{f} = \frac{1}{v} - \frac{1}{u}$.As the object distance $u$ approaches infinity $(\infty)$,the term $\frac{1}{u}$ approaches $0$.Substituting this into the lens formula,we get $\frac{1}{v} = \frac{1}{f}$,which implies $v = f$.Thus,the image position approaches the focus when the object is at infinity.This is a fundamental property of lenses,and the reason provided correctly explains that rays parallel to the principal axis (which originate from an object at infinity) converge at the focus after refraction.Therefore,both the Assertion and the Reason are correct,and the Reason is the correct explanation of the Assertion.

Assertion : Position of image approaches focus of a lens,only when object approaches infinity.
Reason : Paraxial rays incident parallel to principal axis intersect at the focus after refraction from lens.

Similar Questions

$A$ convex lens of focal length $f$ produces a real image $n$ times the size of the object. The image distance is

$A$ convex lens is made of three different materials as shown in the figure. How many images will be formed for a point object placed on its principal axis?

The radius of curvature of the convex surface of a thin plano-convex lens is $15 \, cm$ and the refractive index of its material is $1.6$. The power of the lens will be:

Write the Gaussian equation for a lens.

$A$ photograph of a landscape is captured by a drone camera at a height of $18 \ \text{km}$. The size of the camera film is $2 \ \text{cm} \times 2 \ \text{cm}$ and the area of the landscape photographed is $400 \ \text{km}^2$. The focal length of the lens in the drone camera is: (in $\text{cm}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion : Position of image approaches focus of a lens,only when object approaches infinity.Reason : Paraxial rays incident parallel to principal axis intersect at the focus after refraction from lens.