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Question

The charge to mass ratio of αparticle is approximately ____ of the charge to mass ratio of a proton is:

A
half
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B
twice
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C
4 times
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D
6 times
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Solution

The correct option is B twice
Alpha particle is a helium nucleus containing two protons and two neutrons so its charge is twice the proton’s charge while the mass is about 4 times greater.
Let the charge of the proton be +e, then the charge of the alpha particle will be +2e. Similarly mass of the proton be m, then the mass of the alpha particle will be 4m.
Specific charge = charge/mass of the substance.
For proton, specific charge =em
For alpha particle, specific charge = 2e4m
Therefore the ratio is = em x 4m2e=2:1
Hence, the charge to mass ratio of an alpha particle is approximate twice the charge to mass ratio of a proton.
So, the correct option is B

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