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Work and Displacement

Given the following statementsStatement 1:Quantity ‘work’ is not a vectorStatement 2:Displacement of a mosquito in space is not a scalar fieldChoose the correct option for the above statements
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Answer & Explanation
Correct AnswerD. Both statements 1 and 2 are true

Quick Explanation

Work is a scalar because it is the dot product of force and displacement. Displacement is a vector, so the spatial displacement of a mosquito is not a scalar field. Hence both statements are correct, giving option D.

Formula / Key Relation

W=∫F·dl → scalar
Work and Displacement explanatory diagram

Detailed Explanation

Correct Answer

D — Both statements 1 and 2 are true

Statement-wise Analysis

Statement 1: True

Statement 2: True

Concept and Reasoning

Work is a scalar because it is the dot product of force and displacement. Displacement is a vector, so the spatial displacement of a mosquito is not a scalar field. Hence both statements are correct, giving option D.

Calculation / Key Relation

W=∫F·dl → scalar

Exam Takeaway

Dot product produces a scalar; displacement has both magnitude and direction.

Common Mistake

Do not confuse a scalar physical quantity with a scalar field defined over space.

Quick Trick

Dot product produces a scalar; displacement has both magnitude and direction.

Common Mistake

Do not confuse a scalar physical quantity with a scalar field defined over space.

Exam Tip

Dot product produces a scalar; displacement has both magnitude and direction.

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