STATEMENT BASED A particle is shifted from \( A \) to \( B \) and then from \( B \) to \( C \) w...

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STATEMENT BASED
A particle is shifted from \( A \) to \( B \) and then from \( B \) to \( C \) where \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are the midpoints of the corresponding faces of a cube of side \( 2 \mathrm{~m} \). If a force \( \vec{F}=(3 \hat{i}+4 \hat{j}-5 \hat{k}) \mathrm{N} \) is continuously acting on the particle, then
Statement-I: Work done A to \( \mathrm{C} \) is \( 8 \mathrm{~J} \)
Statement-II: Force \( \vec{F} \), is nonconservative force
(1) Both Statement I and Statement II are correct
(2) Both statement I and Statement II are incorrect.
(3) Statement I is correct and statement II incorrect.
(4) Statement I is incorrect and statement II is correct.
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