A charge fo magnitude Q is divided into two parts q and `(Q - q)` such that the two parts exert maximum force on each other. Calculate the ratio `Q//q`.

A charge fo magnitude Q is divided into two parts q and `(Q - q)` such

1.	A charge fo magnitude Q is divided into two parts q and `(Q - q)` such that the two parts exert maximum force on each other. Calculate the ratio `Q//q`.
Answer» Correct Answer - 2 Here, `F = (1)/(4pi in_(0)) (q(Q-q))/(r^(2))` As Q and r are fixed, so F is a function of q Force F will be maximum, only if `(dF)/(dq) = 0` or `(1)/(4pi in_(0)) (d)/(dq) [q (Q - q)] = 0` or `(d)/(dq) [q(Q - q)] = 0 or q(-1) + (Q - q) = 0` or `Q - 2q = 0 or Q = 2q` `(Q)/(q) = 2`

Discussion

No Comment Found

Related InterviewSolutions

Two spherical , noncoducting and very tin shells of unifromly distributed jpositive charge `Q` and radiuy d are located a distance ` 10d` from each other . A positive point charge q is placed inside one of the shells at a dustabce ` d//2` from the center, on the line connecting the centers of the two shells , as shown in the figure, What is the net force on the charge `q` ? . A. ` (qQ)/(3 61 pi varepsilon_0 d^2) ` to the leftB. `(qQ)/(36 1 pi varepsilon_0 pi d^2) ` to the rightC. ` ( 362qQ)/(36 1 pi varepsilon_0d^2)` to the leftD. `(36 0qQ)/(36 1 pi varepsilon_0d^2)` to the right
A hollow metal sphere of radius ` 5 cm` is charged such that the potential on its surcace is ` 10V`. The potential at the centre of the centre of the sphere is -A. ` 0 V`B. ` 10 V`C. same as at point ` 5 cm` away from the surface out side sphereD. same as a point ` 25` cm away from the surface
A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is `10V`. The potential at the distance `3 cm` from the centre of the sphere is:A. zeroB. 10 VC. same as at a point 5 cm away from the surfaceD. same as at a point 25 cm away from the surface
A hollow metal sphere of radius ` 5 cm` is charged such that the potential on its surface is ` 10V`. The potential at the center of the sphere is -
The electric field in the region between two concentric charged spherical shells- (a) is zero (b) increases with distance from centre (c) is constant (d) decreases with distance from centre
A hollow metallic sphere of radius 10 cm is given a charge of `3.2 xx 10^(-9) C.` The electric intensity at a point 4 cm from the center isA. `9xx10^(-9)NC^(-1)`B. `"288 NC"^(-1)`C. `"2.88 NC"^(-1)`D. zero
A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere is-(a) 800 V (b) zero (c) 8 V(d) 80 V
A hollow metal sphere of radius 10cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere isA. zeroB. `80 V`C. `800 V`D. `8V`
The electric field strength in air at NTP is `3 xx 10^(6)V//m`. The maximum charge that can be given to a spherical conductor of radius 3m isA. `3xx 10^(4)C`B. `3 xx 10^(-3)C`C. `3 xx 10^(-2)C`D. `3 xx 10^(-1)C`
Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B isA. `4 :1`B. `1:2`C. `2:1`D. `1:4`

A charge fo magnitude Q is divided into two parts q and `(Q - q)` such that the two parts exert maximum force on each other. Calculate the ratio `Q//q`.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment