Question

29. If the wavelength of the electromagnetic radiation is
increased to thrice the digital value, then what will be the
percent change in the value of frequency of the
electromagnetic radiation,​

Answer 1

Concept:

Wavelength and Frequency relationship: Wavelength and frequency have an inverse relation. The frequency is low when there is a long wavelength and high when there is a short wavelength.

Given:

The wavelength of the electromagnetic radiation is increased to thrice the digital value i.e., 3λ₁.

Find:

What will be the percent change in the value of the frequency of the electromagnetic radiation?

Solution:

We know that v can be expressed as:

v = c/λ₁

where v is the frequency.

c is the speed of light.

λ is the wavelength.

v = c/λ₂ = c/3λ₁

% change in the frequency = {(v₂ - V₁) / v₁} * 100

By substituting the given values in the above expression we get the value of the % of the change in the frequency,

% change in the frequency =  {(c/3λ₁ - c/λ₁) / c/λ₁} * 100

= {(-2c/3λ₁) / c/λ₁} * 100 = (-2/3) * 100

= -0.66 * 100 = -66%

Hence,  if the wavelength of the electromagnetic radiation is

increased to thrice the digital value, then the

percent change in the value of frequency of the

electromagnetic radiation is decreased by 66%.

The correct answer is decreased by 66%.

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Answer 2

Answer:

Decreases by 66%

Explanation:

• Given: The electromagnetic radiation's wavelength has been expanded to triple the digital value.
• To determine: The percentage change in the electromagnetic radiation's frequency value.
• Solution:
• v1 = c/λ1
• v2 = c/λ2 = c/3λ1
• frequency change in percentage  = v2−v1/v1 x 100
• = (3/3λ1−c/λ1)/(c/λ1) x 100
• = (−2c/3λ1×100)/c/λ1
• = - 66%
• As a result, it falls by 66%.
• In terms of science, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel over space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all components of the electromagnetic spectrum.
• The frequency f of electromagnetic waves, or, equivalently, the wavelength c/f, is used to classify them. The wavelengths of visible light span from 400 nm to 700 nm.

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