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Chapter 15: Problem 2160

The velocity of light in vacuum can be changed by changing (A) frequency (B) wavelength (C) amplitude (D) none of these

Short Answer

Expert verified
In a vacuum, the speed of light (c) is a constant value, approximately 3.00 x 10^8 m/s, and is represented as the product of frequency (f) and wavelength (λ) through the equation: c = f * λ. Changes in frequency or wavelength result in corresponding changes in the other variable to maintain the constant speed. Amplitude represents intensity and does not affect the velocity of light in a vacuum. Hence, the correct answer is (D) none of these.

Step by step solution

01

Review the properties of light waves

Light is an electromagnetic wave, and its speed in a vacuum is a constant value denoted by "c." The speed of light in a vacuum is about 299,792,458 meters per second (approximately 3.00 x 10^8 m/s). Electromagnetic waves have several properties, such as frequency, wavelength, and amplitude.
02

Define frequency, wavelength, and amplitude

Frequency is the number of wave cycles per second, measured in Hertz (Hz). Wavelength is the distance between two consecutive points in a wave, such as two adjacent crests or troughs, and it is typically measured in meters (m). Amplitude is the maximum displacement of a point in the wave from its mean position, and it represents the intensity of the wave.
03

Understand the relation between frequency, wavelength, and speed of light

In a vacuum, the speed of light (c) can be represented as the product of frequency (f) and wavelength (λ), as described by the equation: c = f * λ As the speed of light is a constant value in a vacuum, if we change either the frequency or the wavelength of light, the other variable will also change accordingly to maintain the constant speed.
04

Examine the effect of amplitude on the speed of light

The amplitude of an electromagnetic wave represents its intensity or energy level, not its speed. Changes in amplitude do not affect the velocity of light in a vacuum.
05

Choose the correct answer

Based on the analysis of the properties of light and the relationship between frequency, wavelength, and speed, it is clear that neither frequency, wavelength, nor amplitude can alter the speed of light in a vacuum. Thus, the correct answer is: (D) none of these

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Most popular questions from this chapter

Electromagnetic waves travelling in a medium which has relative permeability \(1.3\) and relative permittivity \(2.14\) speed of electromagnetic waves in this medium will be (A) \(3.6 \times 10^{8} \mathrm{~m} / \mathrm{s}\) (B) \(1.8 \times 10^{8} \mathrm{~m} / \mathrm{s}\) (C) \(1.8 \times 10^{6} \mathrm{~m} / \mathrm{s}\) (D) \(13.6 \times 10^{6} \mathrm{~m} / \mathrm{s}\)

A plane electromagnetic wave of wave intensity \(10 \mathrm{~cm}^{-2}\) strikes a small mirror of area \(20 \mathrm{~cm}^{2}\), held perpendicular to the approaching wave. The radiation force on the mirror will be (A) \(6.6 \times 10^{-11} \mathrm{~N}\) (B) \(1.33 \times 10^{-11} \mathrm{~N}\) (C) \(1.33 \times 10^{-10} \mathrm{~N}\) (D) \(6.6 \times 10^{-10} \mathrm{~N}\)

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