/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 12 Explain how Corpuscular theory p... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Explain how Corpuscular theory predicts the speed of light in a medium, say, water, to be greater than the speed of light in vacuum. Is the prediction confirmed by experimental determination of the speed of light in water? If not, which alternative picture of light is consistent with experiment?

Short Answer

Expert verified
The corpuscular theory incorrectly predicts that light travels faster in water than in a vacuum. Experimentally, light is slower in water, consistent with the wave theory of light.

Step by step solution

01

Understand Corpuscular Theory

The corpuscular theory of light, proposed by Isaac Newton, suggests that light is composed of small particles, or corpuscles, that travel in straight lines. According to this theory, when light enters a denser medium like water, the gravitational force of the medium causes the particles to accelerate, thereby increasing their speed.
02

Prediction by Corpuscular Theory

Based on the corpuscular theory, the speed of light is predicted to increase when it passes from a less dense medium (vacuum) into a denser medium (such as water). This is because the theory assumes the denser medium's gravitational effect accelerates the light particles.
03

Experimental Observation

Contrary to the corpuscular theory, experiments have shown that the speed of light is slower in water compared to its speed in a vacuum. This observation contradicts the prediction made by the corpuscular theory, as it indicates that light slows down when entering a denser medium.
04

Wave Theory of Light

The wave theory of light suggests that light behaves as a wave. According to this theory, light waves slow down when entering a denser medium due to the medium's interaction with the wavefronts. This leads to a reduced speed of light in water, which aligns with experimental findings.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Speed of Light in Water
Light is incredibly fast, traveling at approximately 299,792,458 meters per second in a vacuum. However, the speed of light changes when it enters different materials. When light travels from a vacuum into water, its speed decreases. This phenomenon can be thought of as light bumping into more particles within the water, which slows it down. The speed of light in water is about 225,000,000 meters per second, significantly less than in a vacuum.

Understanding why light slows in water requires us to think about the interaction between light and the particles in water. For centuries, scientists have tried to grasp this behavior to accurately describe how light works. This understanding lays the groundwork for developing optical technologies, such as lenses and fiber optics, which rely on the precise control of light speed in various materials.
Wave Theory of Light
The wave theory of light provides a different perspective on how light behaves, especially when moving through different media. Light, according to this theory, is made of waves rather than particles. This means that when light enters a denser medium like water, the wave structure of light interacts with the medium, causing it to slow down.

The wave theory suggests that light waves bunch up as they pass into a denser medium. This happens because the medium forces the wavefronts closer together, much like waves in the ocean slow down when moving into shallower waters. This theory explains why light travels faster in a vacuum than in denser materials like water. Previously, the wave theory competed with the corpuscular theory of light, the latter not accounting for the slower speed of light within denser materials.
Experimental Validation of Light Theories
Experiments play an essential role in understanding and validating scientific theories about light. Historically, the corpuscular theory predicted that light would travel faster in water than in a vacuum. However, this was not observed in experiments. Experimental measurements showed that light actually slows down in water, which directly contradicted the corpuscular theory.

These experimental results favor the wave theory of light, which correctly predicts that light slows in denser media. Techniques such as Foucault's method in the 19th century provided more accurate measurements that supported the wave theory. This anchoring of theoretical predictions with experimental data is a cornerstone of scientific progress, ensuring that our understanding of natural phenomena continuously improves and aligns with observed reality.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Light of wavelength \(5000 \mathrm{~A}\) falls on a plane reflecting surface. What are the wavelength and frequency of the reflected light? For what angle of incidence is the reflected ray normal to the incident ray?

In a double-slit experiment the angular width of a fringe is found to be \(0.2^{\circ}\) on a screen placed \(1 \mathrm{~m}\) away. The wavelength of light used is \(600 \mathrm{~nm}\). What will be the angular width of the fringe if the entire experimental apparatus is immersed in water? Take refractive index of water to be \(4 / 3\).

You have learnt in the text how Huygens' principle leads to the laws of reflection and refraction. Use the same principle to deduce directly that a point object placed in front of a plane mirror produces a virtual image whose distance from the mirror is equal to the object distance from the mirror.

(a) The refractive index of glass is \(1.5 .\) What is the speed of light in glass? (Speed of light in vacuum is \(3.0 \times 10^{6} \mathrm{~m} \mathrm{~s}^{-1}\) ) (b) Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

For sound waves, the Doppler formula for frequency shift differs slightly between the two situations: (i) source at rest: observer moving. and (ii) source moving: observer at rest. The exact Doppler formulas for the case of light waves in vacuum are, however, strictly identical for these situations. Explain why this should be so. Would you expect the formulas to be strictly identical for the two situations in case of light travelling in a medium?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.