How Does Light Absorption Affect the Oscillation Period of a Pendulum?

Click For Summary

Homework Help Overview

The problem involves a small plate suspended by a string, which is subjected to a monochromatic light beam that is completely absorbed. The inquiry focuses on how the absorption of light affects the oscillation period of the pendulum, with specific parameters including the mass of the plate and the energy falling on it per unit time.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the force exerted by the light on the plate and its potential impact on the equilibrium position. Questions are raised about relating the energy of the light to the force it exerts and the change in momentum of photons. There is also a suggestion to explore the relationship between energy and the number of photons.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to approach the problem, including calculating the average force exerted by the light and determining the equilibrium position of the plate. Multiple interpretations of the problem are being explored, particularly regarding the relationship between light energy and force.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information available or the methods that can be employed. There is an emphasis on understanding the underlying physics rather than arriving at a final solution.

Tanya Sharma
Messages
1,541
Reaction score
135

Homework Statement



A small plate of mass m is suspended by a light string of length l .A monochromatic light beam starts falling on it and is completely absorbed. If the energy falling on the plate per unit time is W, then find the time period of oscillation?

Homework Equations


The Attempt at a Solution



I feel the light falling on the disk exerts some force on the disk .If it is a constant force then the equilibrium position is shifted.

But I am unable to relate the energy falling on the plate with the force it exerts.

I would be grateful if someone could help me with the problem.
 

Attachments

  • shm.GIF
    shm.GIF
    2.4 KB · Views: 586
Physics news on Phys.org
Tanya Sharma said:

Homework Statement



A small plate of mass m is suspended by a light string of length l .A monochromatic light beam starts falling on it and is completely absorbed. If the energy falling on the plate per unit time is W, then find the time period of oscillation?

Homework Equations





The Attempt at a Solution



I feel the light falling on the disk exerts some force on the disk .If it is a constant force then the equilibrium position is shifted.

But I am unable to relate the energy falling on the plate with the force it exerts.

I would be grateful if someone could help me with the problem.

Suppose ##n## photons strike the plate per second. Can you work out the change in momentum of these photons and the force acting on the plate?

Do you know of a relation between energy and number of photons?

You should be able to work out the force acting due to photons with the two equations you get.
 
  • Like
Likes   Reactions: 1 person
If you have found the average force the light exerts, find the equilibrium position of the plate in terms of W and mg, then the net force on the plate when it is displaced from that equilibrium position. ehild
 
  • Like
Likes   Reactions: 1 person
Thank you Pranav...

Thanks ehild...
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
2K
Replies
14
Views
3K
  • · Replies 26 ·
Replies
26
Views
6K
  • · Replies 36 ·
2
Replies
36
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
3
Views
6K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
9K