Question
Consider the following statements: Assertion (A):
In the visible spectrum of light, red light has more energy than green light. Reason (R): The wavelength of red light is greater than that of green light. Choose the correct answer from the codes given below:Solution
• Red light has a longer wavelength compared to green light; thus, Reason (R) is correct. • However, energy is inversely proportional to wavelength (E ∝ 1/λ). This means shorter wavelength light has more energy than longer wavelength light. • Therefore, green light has more energy than red light, making Assertion (A) false. Thus, the correct answer is (d) A is false, but R is true. Energy of light is given by the formula E = hν = hc/λ, where h = Planck’s constant, ν = frequency, c = speed of light, and λ = wavelength. In the visible spectrum, violet light has the highest energy, and red light has the lowest. Wavelength order (longest to shortest): Red > Orange > Yellow > Green > Blue > Indigo > Violet. Energy order (lowest to highest): Red < Orange < Yellow < Green < Blue < Indigo < Violet. Green light has a shorter wavelength than red, so it carries more energy. Red light is used in night vision equipment because of its low energy and low scattering property. Green light is more energetic and is often used in applications like laser pointers and signaling.
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