The specific charge of a proton is 9.6 × 10^7 C / kg . The specific charge of an alpha particle will be

Correct answer: C. 4.8 × 10^7 C / kg Specific charge on proton =((e)/(m))_p =9.6 × 10^7 C / kg Specific charge on α -particle, ((q)/(m))_α=(2 e)/(4 m)=(1)/(2)((e)/(m))_p=(1)/(2) × 9.6 × 10^7 =4.8 × 10^7 C / kg

JIPMER 2011

Exam: JIPMER
Year: 2011
Subject: Physics
Chapter: Atomic Physics

JIPMER 2011 · Physics · Atomic Physics

The specific charge of a proton is 9.6 × 10^7 C / kg . The specific...

The specific charge of a proton is

9.6 \times 10^7 \mathrm{C} / \mathrm{kg}

. The specific charge of an alpha particle will be

Options

A $9.6 \times 10^7 \mathrm{C} / \mathrm{kg}$
B $19.2 \times 10^7 \mathrm{C} / \mathrm{kg}$
C $4.8 \times 10^7 \mathrm{C} / \mathrm{kg}$
D $2.4 \times 10^7 \mathrm{C} / \mathrm{kg}$

Correct answer

C. $4.8 \times 10^7 \mathrm{C} / \mathrm{kg}$

Step-by-step solution

Specific charge on proton

=\left(\frac{e}{m}\right)_p =9.6 \times 10^7 \mathrm{C} / \mathrm{kg}

Specific charge on

\alpha

-particle,

\left(\frac{q}{m}\right)_\alpha=\frac{2 e}{4 m}=\frac{1}{2}\left(\frac{e}{m}\right)_p=\frac{1}{2} \times 9.6 \times 10^7 =4.8 \times 10^7 \mathrm{C} / \mathrm{kg}

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