NECO 2000 Physics · Question 34

The force exerted on a charged body in an electric field depends on I. the charge on the body II. the electric…

Question

The force exerted on a charged body in an electric field depends on I. the charge on the body II. the electric field intensity III. the square of the mass of the body

  1. A.I only
  2. B.II only
  3. C.I and II only
  4. D.I and III only
  5. E.II and III only

Answer: C. I and II only

Explanation written with AI and checked against the answer key

Analyze the question: We need to find which quantities determine the force on a charged body placed in an electric field.

Concept: The electric field intensity E is defined as the force per unit charge:

E = F / q, so F = qE

where

  • F = force on the charged body (N)
  • q = charge on the body (C)
  • E = electric field intensity (N/C or V/m)

Checking each statement:

  • I. The charge on the body: True. F is directly proportional to q.
  • II. The electric field intensity: True. F is directly proportional to E.
  • III. The square of the mass of the body: False. Mass does not appear in F = qE. Mass affects the acceleration produced (a = F/m = qE/m), but not the force itself. The "square of the mass" has no role in any electric force formula.

So the force depends on I and II only.

Answer: Option C.

Tip: Remember F = qE. If a quantity does not appear in the formula, the force does not depend on it. Be careful with questions asking about force versus acceleration: mass matters for acceleration (a = qE/m), not for the force. Also, don't confuse this with gravitational force, where mass does matter (F = mg).

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