There are three uncharged identical metallic spheres 1,2 and 3 each of radius r and are placed at the vertices an equilateral triangle of side d. A charged metallic sphere having charge q of same radius r is touched to sphere 1, after some time it is taken to the location of sphere 2 and is touched to it, then it is taken far away from spheres 1,2 and 3. After that the sphere 3 is grounded, the charge on sphere 3 is (neglect electrostatic induction by assuming d 2r)

Question

There are three uncharged identical metallic spheres 1,2 and 3 each of radius r and are placed at the vertices an equilateral triangle of side d. A charged metallic sphere having charge q of same radius r is touched to sphere 1, after some time it is taken to the location of sphere 2 and is touched to it, then it is taken far away from spheres 1,2 and 3. After that the sphere 3 is grounded, the charge on sphere 3 is (neglect electrostatic induction by assuming d >> 2r) (A) zero (B) (-3qr/4d) (C) (-qr/2d) (D) (-qr/4d)

Tardigrade Admin · Accepted Answer

Correct answer is (b) (-3qr/4d)

zero

$\frac{- 3 q r}{4 d}$

$\frac{- q r}{2 d}$

$\frac{- q r}{4 d}$

Correct answer is (b) $\frac{- 3 q r}{4 d}$

zero

4d−3qr​

2d−qr​

4d−qr​

Correct answer is (b) 4d−3qr​

$\frac{- 3 q r}{4 d}$

$\frac{- q r}{2 d}$

$\frac{- q r}{4 d}$

Correct answer is (b) $\frac{- 3 q r}{4 d}$