Question

Consider the following particles:
(A) Proton,
(B) α-particle,
(C) Electron.
For charge to mass ratio of the above particles, we can say:

• (C) $>$ (A) $>$ (B)
• (A) $<$ (C) $<$ (B)
• (B) = (A) $>$ (C)
• (C) = (B) $>$ (A)

Answer 1

The Correct Option is A

The charge-to-mass ratio for each particle is calculated as follows:

• Proton (A): Charge = +e, Mass ≈ 1 amu.
• α-particle (B): Composed of 2 protons and 2 neutrons, Charge = +2e, Mass ≈ 4 amu.
• Electron (C): Charge = -e, Mass ≈ 1/1836 amu.

The charge-to-mass ratios are:

• Proton: \( \frac{+e}{1\, \text{amu}} \)
• α-particle: \( \frac{+2e}{4\, \text{amu}} = \frac{+e}{2\, \text{amu}} \)
• Electron: \( \frac{-e}{1/1836\, \text{amu}} = -1836\frac{e}{\text{amu}} \)

The order of the magnitude of the charge-to-mass ratio is: (C)>(A)>(B)