Identify the correct order of the following particles when arranged in the decreasing order of KE when moved for same time in the same electric field.i) electronii) protoniii) deuteron iv) tritium

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Identify the correct order of the following particles when arranged in the decreasing order of KE when moved for same time in the same electric field.
i) electron
ii) proton
iii) deuteron
iv) tritium

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ii, i, iii, iv

ii, iii, iv, i

iii, iv, ii, i

i, ii, iii, iv

answer is C.

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Detailed Solution

The acceleration of particles is given by $a = \frac{qE}{m}$ ,

The velocity after a time 't' is $v = \frac{qE}{m} t$

The kinetic energy is given by $\frac{1}{2} {mv}^{2} = \frac{1}{2} m . {(\frac{qE}{m} t)}^{2}$

So, $KE \propto \frac{q^{2}}{m}$

The decreasing order is given by i, ii, iii, iv

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