A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878 × 10⁻⁴. The mass of the particle is close to:
A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878 × 10⁻⁴. The mass of the particle is close to:
Option 1 -
9.7 * 10⁻²⁸ kg
Option 2 -
4.8 * 10⁻²⁷ kg
Option 3 -
1.2 * 10⁻²⁸ kg
Option 4 -
9.1 * 10⁻³¹ kg
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:λ = h/p = h/mv
λp/λe = (m? v? )/ (m? v? ) ⇒ 1.878 × 10? = (9.1×10? ³¹)/ (m? * 5)
m? = 9.1×10? ³¹ / (5 × 1.878 × 10? ) = 0.97 × 10? ²? kg
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