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JEE Mains · Physics · STD 12 - 11. Dual nature of radiation and matter
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 \(1.878 \times 10^{-4}\). The mass of the particle is close to
- A \(4.8 \times 10^{-27}\, kg\)
- B \(1.2 \times 10^{-28}\, kg\)
- C \(9.1 \times 10^{-31}\, kg\)
- D \(9.7 \times 10^{-28}\, kg\)
Answer & Solution
Correct Answer
(D) \(9.7 \times 10^{-28}\, kg\)
Step-by-step Solution
Detailed explanation
Let mass of particle \(= m\) Let speed of \(e= V\) \(\Rightarrow\) speed of particle \(=5 V\) Debroglie wavelength \(\lambda_{ d }=\frac{ h }{ P }=\frac{ h }{ mv }\) \(\Rightarrow\left(\lambda_{d}\right)_{P}=\frac{h}{m(5 V)}\) \(...(1)\)…
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