Two charged particles having charge 1 μ C and -1 μ C and of mass 50 g each are held at rest while their separation is 2 m. Find the relative velocity of the particles when their separation is 0.5 m.

Question

Two charged particles having charge 1 μ C and -1 μ C and of mass 50 g each are held at rest while their separation is 2 m. Find the relative velocity of the particles when their separation is 0.5 m. (A) (1/5) m / s (B) (√3/5) m / s (C) (3 √3/5) m / s (D) (3 √3/10) m / s

Tardigrade Admin · Accepted Answer

Speed of both will be same at any time, (K E+P E)f=(K E+P E)i 2((1/2) m v2)-(9 × 109 × 10-12/0.5) =-(9 × 109 × 10-12/2)+0 m v2=9 × 10-3[(1/0.5)-(1/2)] Putting m=50 / 1000 ; v=(3 √3/10) m / s

Q. Two charged particles having charge $1 μ C$ and $- 1 μ C$ and of mass $50 g$ each are held at rest while their separation is $2 m$ . Find the relative velocity of the particles when their separation is $0.5 m$ .

$\frac{1}{5} m / s$

$\frac{3}{5} m / s$

$\frac{3 3}{5} m / s$

$\frac{3 3}{10} m / s$

Q. Two charged particles having charge 1μC and −1μC and of mass 50g each are held at rest while their separation is 2m. Find the relative velocity of the particles when their separation is 0.5m.

51​m/s

53​​m/s

533​​m/s

1033​​m/s

Speed of both will be same at any time, (KE+PE)f​=(KE+PE)i​ 2(21​mv2)−0.59×109×10−12​ =−29×109×10−12​+0 mv2=9×10−3[0.51​−21​] Putting m=50/1000;v=1033​​m/s

Q. Two charged particles having charge $1 μ C$ and $- 1 μ C$ and of mass $50 g$ each are held at rest while their separation is $2 m$ . Find the relative velocity of the particles when their separation is $0.5 m$ .

$\frac{1}{5} m / s$

$\frac{3}{5} m / s$

$\frac{3 3}{5} m / s$

$\frac{3 3}{10} m / s$