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SarkariResultOutBMS · 2024

Previous Year Question

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
  1. Statement 1 is true, but statement 2 is false
  2. Both statements 1 and 2 are false
  3. Statement 1 is false, but statement 2 is true
  4. Both statements 1 and 2 are true

Correct answer: D

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

W=∫F·dl → scalar

Step-by-step solution

Work and Displacement explanatory diagram

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.

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.

Quick method

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