The kinetic energy of a moving electron is 50 kJ . If the de-Broglie wavelength associated with the electron motion is expressed as $y \times 1 0^{- z} m$ , and the value of z is 20 . What is the value of $(y + z)$ ?
[Assume that m_e = 9×10-¹³kg and h = 6.6 × 10^-34 Js ]

Question

The kinetic energy of a moving electron is 50 kJ . If the de-Broglie wavelength associated with the electron motion is expressed as $y \times 1 0^{- z} m$ , and the value of z is 20 . What is the value of $(y + z)$ ?

[Assume that m_e = 9×10-¹³kg and h = 6.6 × 10^-34 Js ]

TestHub · Accepted Answer

λ = 2 mE ​ h ​ = 2 × 9 × 1 0 − 31 × 50 × 1 0 3 ​ 6.6 × 1 0 − 34 ​ = 900 × 1 0 − 28 ​ 6.6 × 1 0 − 34 ​ = 30 × 1 0 − 14 6.6 × 1 0 − 34 ​ = 0.22 × 1 0 − 20 = y × 1 0 − z ∴ y + z = 20.22

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