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Question

Choose the correct option according to the angle between force and direction of displacement.

Column1Column21. θ is zeroi) Work done is always zero2. θ is less than 900ii) Work done is non-negative3. θ is greater than 900iii) Work done is always positive4. θ is 900iv) Work done is never positive


A

1-ii, 2-ii, 3-iv, 4-i

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B

1-iii, 2-ii, 3-iv, 4-i

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C

1-iii, 2-iii, 3-iv, 4-i

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D

1-ii, 2-ii, 3-i, 4-iv

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Solution

The correct option is A

1-ii, 2-ii, 3-iv, 4-i


When the angle is zero, the value of cosθ is one and then depending on the value of F and d, work may be zero or positive. So work done is non-negative. Same is the case when θ is less than 90°. When θ is greater than 90° then value of cosθ is negative. So work done is never positive. However, it can be zero depending on force and the displacement value. When cosθ is 90°, then value of cosθ is zero. So work done is always zero.


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