Question

# The specific charge of a proton is $$9.6\times 10^{7}$$ coulomb/Kg. Then the specific charge of an alpha particle is

A
2.4×107C/kg
B
4.8×107C/kg
C
9.6×107C/kg
D
1.4×107C/kg

Solution

## The correct option is D $$4.8\times 10^{7}C/kg$$Specific charge $$=\dfrac{q}{m} => \dfrac{q_p}{m_p} = 9.6\times 10^7 \dfrac{e}{kg}$$$$\alpha$$ - particle has charge twice of proton and mass 4 times of proton.So, specific charge of $$\alpha$$-particle $$=\dfrac{2q_p}{4m_p}$$$$= \dfrac{1}{2}(\dfrac{q_p}{m_q})$$$$= \dfrac{1}{2}(9.6\times 10^7)$$$$= 4.8\times 10^7 \dfrac{c}{kg}$$Physics

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