A particle A of mass m and charge Q moves directly towards a fixed particle B, which has charge Q . The speed of A is a v when it is far away from B. The minimum separation between the particles is not proportional to

Question

A particle A of mass m and charge Q moves directly towards a fixed particle B, which has charge Q . The speed of A is a v when it is far away from B. The minimum separation between the particles is not proportional to (A) Q2 (B) (1/v2) (C) (1/v) (D) (1/m)

Tardigrade Admin · Accepted Answer

(1/2) m v2=(1/4 π ε0) (Q2/r min ) or r min =(2 Q2/(4 π ε0) m v2) Clearly r min propto Q2 propto (1/m) propto (1/v2)

Q. A particle $A$ of mass $m$ and charge $Q$ moves directly towards a fixed particle $B$ , which has charge $Q .$ The speed of $A$ is a $v$ when it is far away from $B$ . The minimum separation between the particles is not proportional to

$Q^{2}$

$\frac{1}{v ^{2}}$

$\frac{1}{v}$

$\frac{1}{m}$

$\frac{1}{2} m v^{2} = \frac{1}{4 π ε _{0}} \frac{Q ^{2}}{r _{m i n}}$
or $r_{m i n} = \frac{2 Q ^{2}}{( 4 π ε _{0} ) m v ^{2}}$
Clearly $r_{m i n} \propto Q^{2} \propto \frac{1}{m} \propto \frac{1}{v ^{2}}$

Q. A particle A of mass m and charge Q moves directly towards a fixed particle B, which has charge Q. The speed of A is a v when it is far away from B. The minimum separation between the particles is not proportional to

Q2

v21​

v1​

m1​