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Answer:
a) 1.64 × 10⁻²⁶N , 2.4 * 10⁻¹⁶ N
Explanation:
Given:
q = -2 * 10⁻⁹ C
Fe = 3 * 10⁻⁶ N
we know, F = qE
=> 3 * 10⁻⁶ N = -2 * 10⁻⁹ C * E
=> E = -1.5 * 10³ NC⁻¹ [Negative sign shows that field is in opposite direction of Force. i.e; in upward direction]
|E| = 1.5 * 10³ NC⁻¹
Charge on proton = +1.6 * 10⁻¹⁹ C
Fe = qE
=> Fe = +1.6 * 10⁻¹⁹ C * 1.5 * 10³ NC⁻¹ = 2.4 * 10⁻¹⁶ N
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Mass of proton = 1.64 × 10⁻²⁷ Kg
Fg = mg
=> Fg = 1.64 × 10⁻²⁷ Kg * 10 m/s² = 1.64 × 10⁻²⁶ Kg *m/s2
or Fg = 1.64 × 10⁻²⁶N
Hence,
Gravitational force (Fg) = 1.64 × 10⁻²⁶N
Electrostatic Force (Fe) = 2.4 * 10⁻¹⁶ N
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Amrit
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