AIPMT PRELIMS2008Physics-Modern Physics
AIPMT PRELIMS 2008 Physics Wave-Particle Duality MCQ Question
Type: MCQ-numerical-Hard-Class 12
A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 × 10⁶ ms⁻¹. The velocity of the particle is : (mass of electron = 9.1 × 10⁻³¹ kg)
A
3 × 10⁻³¹ ms⁻¹
B
2.7 × 10⁻²¹ ms⁻¹
C
2.7 × 10⁻¹⁸ ms⁻¹
D
9 × 10⁻²⁵ ms⁻¹
Correct Answer
Option C
Detailed Explanation
Using de Broglie's equation λ = h/p, and equating the wavelengths, mv = mₑvₑ. Solving for v gives v = (mₑ/m) × vₑ = (9.1 × 10⁻³¹ / 10⁻⁶) × 3 × 10⁶ = 2.7 × 10⁻¹⁸ ms⁻¹.
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