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Question

Ax+ has 4 protons, 5 neutrons and e/m value of 2.12×107 C/kg. Find the value of x.

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 2
Charge/mass value for Ax+=2.12×107 C kg1
Since, Ax+ has 4 protons and 5 neutrons and the mass of a proton is approximately equal to the mass of a neutron. The effective mass of the ion will be approximately equal to 9mp where, mp is the mass of a proton
Mass of Ax+=9×1.67×1027 kg=1.503×1026 kg
Also Ax+ has +x relative charge.
Charge of Ax+=x×e=x×1.602×1019 C
Value of charge by mass for the ion will be given by
2.12×107 C kg1=x×1.602×1019C1.503×1026 kg

x=2

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