Question

Two identical particles each of mass M and charge Q are placed a certain distance apart. If they are in equilibrium under mutual gravitational and electric force, then calculate the order of Q/M in SI system
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Answer 1

Answer:

0.862 × 10^-10

Explanation:

According to the given question,

Two particles have same mass and charge.

Mass = M and Charge = Q

And we are asked to find Q/M ratio value.

So, Here gravitational and electrostatic force are in equilibrium.

So, Fg = Fe

Where Fg = Gravitational force

and Fe = Electrostatic force

So, G M.M/r^2 = k Q.Q/r^2

where r = distance between them

And G = Gravitational constant

k = electrostatic constant

• G M^2 = k Q^2

• (Q/M)^2 = G/k

• Q/M = in root (G/k)

• Q/M = in root (6.7 × 10^-11/9×10^9)

• Q/M = in root (0.744×10^-20)

• Q/M = 0.862 × 10^-10

So order is 0.862 × 10^-10