| ASSERTION: If an electron and proton possessing same kinetic energy enter an electric field in a perpendicular direction, the path of the electron is more curved than that of the proton. |
| REASON: Electron forms a large curve due to its small mass. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: D
Solution :
As \[qE=\frac{m{{v}^{2}}}{r},r=\frac{m{{v}^{2}}}{qE}=\frac{2K\,.\,E\,.}{q\,E}\] \[\left( K.\,E.\,=\frac{1}{2}\,m{{v}^{2}} \right)\] i.e., \[r\propto \frac{1}{q}\] Since electron and proton have equal charge, r is the same for both of them. Here, r depends on K.E. (which is given to be the same for both the particles) and as such not on their masses.
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