Question

What is the ratio of the e/m values for an electron and an alpha particle

Answer 1

For Electron:-

Charge= -1.602 × 10^-19 C

Mass= 9.109 × 10^-31 kg

Specific charge= charge/mass

= (-1.602×10^-19)/(9.109×10^-31) C/kg

= -1.758 × 10^11 C/kg

Specific charge of electron= -1.758 × 10^11 C/kg

For alpha particle:-

Charge= 3.2 × 10^-19 C

Mass= 6.644 × 10^-27 kg

Specific charge= Charge/mass

= (3.2 × 10^-19)/(6.644 × 10^-27) C/kg

= 4.816 × 10^7 C/kg

Specific charge of alpha particle= 4.816 × 10^7 C/kg

Ratio of specific charges = specific charge of electron÷specific charge of alpha particle

Ratio= (-1.758 × 10^11)/(4.816 × 10^7)

= -3.650 × 10^3

Therefore, the ratio of specific charges of electron and alpha particle is -3.650×10^3

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