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