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class 12
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Explanation:
We know that ,
Charge on alpha particle = +2e
Charge on deuteron = +e
________________________
Mass of deuteron = 1p
Mass of alpha particle = 2p
where, p is the mass of 1 proton
________________________
Force = q × E
________________________
Force on deuteron = e × E ---------(1)
and ,
Force on alpha particle = 2e × E -------(2)
__________________________
Now,
Force is also equal to Mass × Acceleration
So, from equation (1) we can write
p × a1 = e × E
=> a1 = eE/ p -----------(3)
And , from equation (2) we can write
2p × a2 = 2e × E
=> a2 = eE / p ----------(4)
Comparing equation (3) and (4), we get
a1 = a2
^_^
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