Question

calculate the intensity of electric field at a point 4mm away from alpha particle
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Answer 1

Given:

The distance, r = 4 mm = 4 × 10⁻³ m

To Find:

The electric field intensity at the given distance.

Calculation:

- We know that an alpha particle has 4 times charge on a proton.

⇒ q = 4 × 1.6 × 10⁻¹⁹

⇒ q = 6.4 × 10⁻¹⁹

- Now putting this in the formula, we get:

E = k q / r²

⇒ E = 9 × 10⁹ × 6.4 × 10⁻¹⁹/(4 × 10⁻³)²

⇒ E = 57.6 × 10⁻¹⁰/16 × 10⁻⁶

⇒ E = 3.6 × 10⁻⁴ N m⁻²

- So, the intensity of the electric field at a point 4 mm away from the alpha particle is 3.6 × 10⁻⁴ N m⁻²