Does a Silvered Plano-Convex Lens Act Like a Concave Mirror?

AI Thread Summary
A silvered plano-convex lens behaves like a concave mirror rather than a convex mirror. The incident rays converge after refraction through the lens and then reflect off the silvered surface, diverging back towards the incident side. This behavior leads to the conclusion that it acts as a concave mirror, as confirmed by multiple participants in the discussion. Diagrams illustrating the refraction and reflection processes help clarify this concept. Understanding this principle is crucial for exam preparation.
sarthak sharma
Messages
35
Reaction score
0
If the plane surface of a plano-convex lens in silvered then which of the following statements is true?

1. it acts like a convex mirror
2. it acts like a concave mirror
3. it acts like a concave lens
4. no changemy attempt---

the incident ray on the convex surface of the plano-convex will first converge (refract) then reflect from silvered plane surface towards the first surface and then from there it will diverge (refract again) towards the incident side only.

so i came to a conclusion that the combination is diverging on the same side as object and thus it acts like a Convex Mirror

but my book give the answer as a concave mirror and the same answer i get after browsing the net but could not find a proper explanation for itcan someone please help me out asap as my exams are pretty much close now...
 
Physics news on Phys.org
sarthak sharma said:
from there it will diverge (refract again) towards the incident side only.
.
Are you sure? In your diagram, make sure you draw quite modest refractions so that you don't confuse yourself.
 
haruspex said:
Are you sure? In your diagram, make sure you draw quite modest refractions so that you don't confuse yourself.

@haruspex i think i kind of get what you want to say that angle of refraction are not very much large...
so the diagram given above by @ehild would be an ideal diagram
and going by it it is pretty much clear that the incident rays converge on the same side on a point on the pricipal axis and hence it acts like a Concave Mirror
confirm it if you agree...
 
sarthak sharma said:
@haruspex i think i kind of get what you want to say that angle of refraction are not very much large...
so the diagram given above by @ehild would be an ideal diagram
and going by it it is pretty much clear that the incident rays converge on the same side on a point on the pricipal axis and hence it acts like a Concave Mirror
confirm it if you agree...
Yes.
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'A bead-mass oscillatory system problem'

Thread 'A bead-mass oscillatory system problem'

I can't figure out how to find the velocity of the particle at 37 degrees. Basically the bead moves with velocity towards right let's call it v1. The particle moves with some velocity v2. In frame of the bead, the particle is performing circular motion. So v of particle wrt bead would be perpendicular to the string. But how would I find the velocity of particle in ground frame? I tried using vectors to figure it out and the angle is coming out to be extremely long. One equation is by work...
View full post »

Similar threads

Lens Maker's Formula - Confusion in the derivation
Replies
15
Views
1K
What Is the Focal Length of the Concave Lens in This Lens-Mirror Combination?
Replies
1
Views
2K
I Image construction with concave and convex mirrors
Replies
4
Views
1K
Mirror placed horizontally between two half convex lenses
Replies
11
Views
1K
Is the Solution for Rotation of Spherical Mirrors Incorrect?
Replies
16
Views
1K
Optical System with Diverging Lens and Concave Mirror
Replies
7
Views
6K
Objects in Mirror closer than appear Concave or Convex
Replies
3
Views
4K
Finding focal point of concave lens using concave and convex
Replies
10
Views
4K
Image formed by a plane-concave lens and a concave mirror
Replies
1
Views
2K
Converging Lens and Plane Mirror Question
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top