A charge of magnitude ' $2 \mathrm{e}$ ' and mass ' $4 \mathrm{~m}$ ' is moving in an electric Field E. The…

A charge of magnitude ' $2 \mathrm{e}$ ' and mass ' $4 \mathrm{~m}$ ' is moving in an electric Field E. The acceleration imparted to the above charge is
  1. $\frac{2 \mathrm{~m}}{3 \mathrm{Ee}}$
  2. $\frac{E e}{2 m}$
  3. $\frac{2 \mathrm{Ee}}{3 \mathrm{~m}}$
  4. $\frac{3 \mathrm{~m}}{2 \mathrm{Ee}}$

Solution

Force, $\mathrm{F}=$ charge $\times$ Electric field $=2 \mathrm{eE}$ $\text { Acceleration }=\frac{\text { Force }}{\text { Mass }}=\frac{2 \mathrm{eE}}{4 \mathrm{~m}}=\frac{\mathrm{eE}}{2 \mathrm{~m}}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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