According to Wien's Displacement Law, if the absolute temperature of a radiating black body is doubled, the wavelength corresponding to maximum spectral emissive power will: MCQ with Answer and Explanation
According to Wien's Displacement Law, if the absolute temperature of a radiating black body is doubled, the wavelength corresponding to maximum spectral emissive power will:
A. Increase four times
B. Remain unchanged
C. Double
D. Halve
Answer: Option D
Solution (By JKExamLibrary)
Wien's Displacement Law states that the wavelength at which a black body emits maximum radiation (lambda_m) is inversely proportional to its absolute temperature (T). lambda_m * T = b (Wien's constant). If the temperature T is doubled (2T), the peak wavelength lambda_m must strictly halve to maintain the constant product.
Explanation:
Power P = 1/f (in meters). P = -2 D ⇒ f = 1/(-2) = -0.5 m = -50 cm. Negative focal length indicates diverging (concave) lens. Convex lenses have positive power. Option A correctly states concave lens with |f| = 50 cm. Memory tip: 'Negative power = concave lens; f(in cm) = 100/P(in D)'. This direct application of lens power definition is common in competitive exams. Always convert diopters to focal length carefully, noting sign convention: negative for diverging lenses, positive for converging.
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