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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

An electron is accelerated through a potential of 120 V. Find its de Broglie wavelength.

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प्रश्न

An electron is accelerated through a potential of 120 V. Find its de Broglie wavelength.

बेरीज
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उत्तर

Given: V = 120 V

To find: de Broglie wavelength of the electron

Formula: λ (in nm) = `1.228/sqrt"V"`

Calculation:

From formula,

`lambda = 1.228/sqrt(120)`

= antilog {log (1.228) – 0.5 × log (120)}

= antilog {0.0892 – 0.5 × 2.0792}

= antilog {`overline1`.0496} = 0.1121 nm

The de Broglie wavelength of the electron is 0.1121 nm.  

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