Two equal and opposite charges of masses m1 and m2 are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is (m1/m2)=0.5?

Question

Two equal and opposite charges of masses m1 and m2 are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is (m1/m2)=0.5? (A) (a1/a2)=0.5 (B) (a1/a2)=1 (C) (a1/a2)=2 (D) (a1/a2)=3

Tardigrade Admin · Accepted Answer

Given, (m1/m2)=0.5 ⇒ F1=F2=F (force experiened by equal charge in electric field) We know that F1=q1 E dots(i) F2=q2 E (as q1=q2 ) dots(ii) From Eqs. (i) and (ii), we get (a1/a2)=(F1 / m1/F2 / m2) ⇒ (a1/a2)=(F ⋅ m2/F ⋅ m1) (a1/a2)=(m2/m1)=(1/0.5)=(10/5)=2 ∴ (a1/a2)=2

Q. Two equal and opposite charges of masses $m_{1}$ and $m_{2}$ are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is $\frac{m _{1}}{m _{2}} = 0.5$ ?

$\frac{a _{1}}{a _{2}} = 0.5$

$\frac{a _{1}}{a _{2}} = 1$

$\frac{a _{1}}{a _{2}} = 2$

$\frac{a _{1}}{a _{2}} = 3$

Q. Two equal and opposite charges of masses m1​ and m2​ are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is m2​m1​​=0.5?

a2​a1​​=0.5

a2​a1​​=1

a2​a1​​=2

a2​a1​​=3

Q. Two equal and opposite charges of masses $m_{1}$ and $m_{2}$ are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is $\frac{m _{1}}{m _{2}} = 0.5$ ?

$\frac{a _{1}}{a _{2}} = 0.5$

$\frac{a _{1}}{a _{2}} = 1$

$\frac{a _{1}}{a _{2}} = 2$

$\frac{a _{1}}{a _{2}} = 3$