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

1. Proton (A)
2. α-particle (B)
3. Electron (C)

Charge-to-Mass Ratio Analysis:

Particle	Charge (q)	Mass (m)	q/m Ratio
Proton (A)	\(+e\)	\(m_p\)	\(\frac{e}{m_p}\)
α-particle (B)	\(+2e\)	\(4m_p\)	\(\frac{2e}{4m_p} = \frac{e}{2m_p}\)
Electron (C)	\(-e\)	\(m_e \approx \frac{m_p}{1836}\)	\(\frac{e}{m_e} \approx 1836\frac{e}{m_p}\)

Comparison Results:

From the calculations:

\[ \left(\frac{q}{m}\right)_C \approx 1836\left(\frac{q}{m}\right)_A \]

\[ \left(\frac{q}{m}\right)_A = 2\left(\frac{q}{m}\right)_B \]

Thus the order of charge-to-mass ratios is:

\[ \text{Electron (C)} \gg \text{Proton (A)} > \alpha\text{-particle (B)} \]

Correct Option:

\(\boxed{(1)\ (C) > (A) > (B)}\)