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| (i) Work done from A to B is 7 J |
| (ii) Work done from B to C is 2 J |
| (iii) Work done A to C is 6 J |
| (iv) Force F, is a conservative force |
| The correct statements are |
A) (i) and (iv)
B) (i) and (ii)
C) (iii) and (iv)
D) (ii) and (iv)
Correct Answer: A
Solution :
[a] \[\overrightarrow{OA}=\hat{i}+\hat{k},\] \[\overrightarrow{OB}=2\hat{i}+\hat{j}+\hat{k},\] \[\overrightarrow{OC}=\hat{i}+2\hat{j}+\hat{k},\] \[\Rightarrow \,\,\,\,\,\,\,\,\overrightarrow{AB}=\overrightarrow{OB}-\overrightarrow{OA}=\hat{i}+\hat{j}\]\[\overrightarrow{BC}=\overrightarrow{OC}-\overrightarrow{OB}=\hat{j}-\hat{i},\,\,\overrightarrow{AC}=\overrightarrow{OC}-\overrightarrow{OA}=2\hat{j}\] \[{{W}_{AB}}=\vec{F}.\overrightarrow{AB}=7,\,{{W}_{BC}}=\vec{F}.\overrightarrow{BC}=1,\,\,{{W}_{AC}}=\vec{F}.\overrightarrow{AC}=8\]A constant force is always a conservative force.
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