Question

A partical of mass m is in equilibrium in a vertical electric fieldof magnitude E directed upward. The charge on partical is​

Answer 1

Given that,

Mass of particle = m

Electric field = E

We know that,

Electric field is equal to the force divided by charge.

We need to calculate the charge on particle

Using formula of electric field

$E=\dfrac{F}{q}$

$E=\dfrac{mg}{q}$

$q=\dfrac{mg}{E}$

Where, m = mass of particle

g = acceleration due to gravity

E = electric field

Hence, The charge on particle is $\dfrac{mg}{E}$

(a) is correct option.

Answer 2

Given:

Mass of particle

= m

Electric field

= E

To Find:

Charge on particle = ?

Solution:

By using the formula, we know that

⇒  $E=\frac{F}{q}=\frac{mg}{q}$

⇒  $q=\frac{mg}{E}$

So that Option A "$\frac{mg}{E}$" is the appropriated choice.