A) 2 times
B) 6 times
C) 4 times
D) 8 times
Correct Answer: A
Solution :
The dimensional formula for work done is as \[W=[M{{L}^{2}}{{T}^{-2}}]\] Now, units M, L and T are doubled, then work done becomes \[W[2M]{{[2L]}^{2}}{{[2T]}^{2}}\] \[W=\frac{2\times 4}{4}\times [M{{L}^{2}}{{T}^{-2}}]\] \[W=2\times W\] Hence, unit of work increases by 2 times.
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