The specific charge of a proton is 9.6 × 107 C kg-1. The specific charge of an alpha particle will be :

Question

The specific charge of a proton is 9.6 × 107 C kg-1. The specific charge of an alpha particle will be : (A) 9.6 × 107 C kg-1 (B) 19.2 ×107 C kg-1 (C) 4.8 ×107 C kg-1 (D) 2.4 ×107 C kg-1

Tardigrade Admin · Accepted Answer

Specific charge on proton =((e/m))p 9.6 × 107 C / kg specific charge ((q/m))α=(2 e/4 m) =(1/2)((e/m))p=(1/2) × 9.6 × 107 =4.8 × 107 C / kg

Q. The specific charge of a proton is $9.6 \times 1 0^{7} C k g^{- 1}$ . The specific charge of an alpha particle will be :

$9.6 \times 1 0^{7} C k g^{- 1}$

$19.2 \times 1 0^{7} C k g^{- 1}$

$4.8 \times 1 0^{7} C k g^{- 1}$

$2.4 \times 1 0^{7} C k g^{- 1}$

Specific charge on proton $= (\frac{e}{m})_{p}$
$9.6 \times 1 0^{7} C / k g$ specific charge
$(\frac{q}{m})_{α} = \frac{2 e}{4 m} = \frac{1}{2} (\frac{e}{m})_{p} = \frac{1}{2} \times 9.6 \times 1 0^{7}$
$= 4.8 \times 1 0^{7} C / k g$

Q. The specific charge of a proton is 9.6×107Ckg−1. The specific charge of an alpha particle will be :

9.6×107Ckg−1

19.2×107Ckg−1

4.8×107Ckg−1

2.4×107Ckg−1