A) \[u\propto V_{A}^{2}\]
B) \[u\propto {{V}_{A}}\]
C) \[u\propto \sqrt{{{V}_{A}}}\]
D) \[u\propto V_{A}^{2/3}\]
Correct Answer: C
Solution :
: Potential difference\[{{V}_{A}}=E\times distance\text{ }d\] Force on electron\[=Ee\] Acceleration of electron \[=\frac{Ee}{m}\] By using the third equation of motion, \[\therefore \] \[{{u}^{2}}=0+2\times \] (acceleration) \[\times S\] or \[{{u}^{2}}=2\frac{Ee}{m}\times d\] or \[{{u}^{2}}=2Ed\frac{e}{m}\] or \[{{u}^{2}}=2{{V}_{A}}\frac{e}{m}\] or \[{{u}^{2}}\propto {{V}_{A}}\] or \[u\propto \sqrt{{{V}_{A}}}\]
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