AIPMT PRELIMS2003Chemistry-Quantum Physics
AIPMT PRELIMS 2003 Chemistry Planck's Constant MCQ Question
Type: MCQ-numerical-Medium-Class 11
The value of Planck's constant is 6.63 × 10⁻³⁴Js. The velocity of light is 3.0 × 10⁸ ms⁻¹. Which value is closest to the wavelength in nanometers of a quantum of light with frequency of 8 × 10¹⁵ s⁻¹:
A
2 × 10⁻²⁵
B
5 × 10⁻¹⁸
C
4 × 10¹
D
3 × 10⁷
Correct Answer
Option C
Detailed Explanation
The wavelength λ can be calculated using the formula λ = c/ν, where c is the speed of light and ν is the frequency. Substituting the given values, λ = (3.0 × 10⁸ m/s) / (8 × 10¹⁵ s⁻¹) = 3.75 × 10⁻⁸ m = 37.5 nₘ, which is closest to 4 × 10¹ nₘ.
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