You visited us 1 times! Enjoying our articles? Unlock Full Access!

Comparing Coulomb's Constant and Gravitational Constant

Three point c...

Question

Three point charges $q_{1}, q_{2}$ and $q_{3}$ are taken such that when $q_{1}$ and $q_{2}$ are placed close together to form a single point charge, the force on $q_{3}$ at distance $L$ from this combination is a repulsion of $2$ unit magnitude. When $q_{2}$ and $q_{3}$ are combined, the force on $q_{1}$ , from same distance $L$ is of magnitude $4$ unit and is attractive. Also $q_{3}$ and $q_{1}$ combining exert $6$ a force of magnitude $18$ unit attractive on $q_{2}$ from same distance $L$ , Algebraic ratio of charges $q_{1}, q_{2}$ and $q_{3}$ is:

1 : 2 : 3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2 : - 3 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 : - 3 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 : - 3 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $1 : 2 : 3$
$\frac{q_{3} (q_{1} + q_{2})}{L^{2}} = 2$
$\frac{q_{1} (q_{2} + q_{3})}{L} = - 4$
$\frac{q_{2} (q_{1} + q_{3})}{L^{2}} = 18$
$\frac{K_{1} (K_{1} + 1)}{K_{1} (1 + K_{2})} = \frac{1}{9}$
$\frac{K_{1} + K_{2}}{K_{2} (K_{1} + 1)} = - 2$
$K_{2} = (\frac{K_{1}}{8 K_{1} + 9}) = 2$
$q_{1} : q_{2} : q_{3} = 1 : \frac{- 6}{5} : 2$

Suggest Corrections

Similar questions

Three point charges $Q_{1}$ , $Q_{2}$ and $Q_{3}$ in that order are placed equally spaced along a straight line. $Q_{2}$ and $Q_{3}$ are equal in magnitude but opposite in sign. If the net force on $Q_{3}$ is zero, the value of $Q_{1}$ is :

Q. A total charge Q is broken in two parts

Q_{1}

and

Q_{2}

and they are placed at a distance R from each other. The maximum force of repulsion between them will occur, when

Q. Three point charges

- q_{1}

+ q_{2}

and

- q_{3}

are placed as shown in the figure. The x-component of force on

- q_{1}

is proportional to

Q. Three charges

- q_{1}, + q_{2}

and

- q_{3}

are placed as shown in the figure. The x-component of the force on

- q_{1}

is proportional to

Q. Two capacitor

C_{1}

and

C_{2}

of capacity

6 μ F

and

3 μ F

respectively are charged to 100V and 50V separately and connected as shown in the figure. Now all the switches

S_{1}, S_{2}

and

S_{3}

are closed.

Suppose

q_{1}, q_{2}

and

q_{3}

be the magnitude of charges flown from switches

S_{1}, S_{2}

and

S_{3}

after they are closed. Then,

Join BYJU'S Learning Program

The correct option is A 1:2:3q3(q1+q2)L2=2q1(q2+q3)L=−4q2(q1+q3)L2=18K1(K1+1)K1(1+K2)=19K1+K2K2(K1+1)=−2K2=(K18K1+9)=2q1:q2:q3=1:−65:2