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Question

Which of the following options represents the equation for work done?

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

Work done = force x displacement

The correct equation for work done is Work done = force × displacement. This is the fundamental definition of work in physics.

Let's examine why the other options are incorrect:

  • Work done = force + displacement: This equation is dimensionally inconsistent. Force and displacement have different units (Newtons and meters, respectively). You cannot add quantities with different units.
  • Work done = force / displacement: Again, this is dimensionally inconsistent. Dividing force by displacement yields a unit that doesn't represent work (N/m).
  • Work done = force - displacement: Similar to addition, subtracting quantities with different units is meaningless in the context of physics.

In summary, only the multiplication of force and displacement yields a quantity with units of work (Joules), making Work done = force × displacement the only physically accurate and dimensionally consistent equation.

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Similar Questions

  1. If a force of 6 N is applied on a body, which is displaced through 2 m in the direction of the force, the work done is found to be _______.
  2. If a ball is thrown upwards, the work done by the gravitational force on the ball is
  3. Work done will be maximum when the angle between the direction of force and the direction of direction of displacement is


Important Questions from Work

  1. A body of mass 100 kg rests on a horizontal plane, the value of coefficient of friction between the body and plane being 0.025. Find the work done in moving the body through a distance of 10 metres along the plane.

  2. A load of 16.5 kg is lifted through a height of 3.4 metres. Find the work done in kg metre.

  3. ______ efforts are where our eyes direct the movement of our bodies.

  4. Task simplifications represent _______ work methods.

  5. The energy equivalence of 1 eV is

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