Explanation
$$\textbf{Correct option: Option (D)}$$$$\textbf{Hint:}$$ If two quantity have same dimension then their ratio will be dimensionless.
$$\textbf{Explanation:}$$ A dimensionless quantity means the quantity which has no physical dimension or has a dimension one, they are also referred to as scalar quantities. They are often obtained as the ratio of two or more quantities.
Since the dimension of work and energy is the same, i.e., $$M{{L}^{2}}{{T}^{-2}}$$, when we take their ratio both the dimensions will cancel out and the result will be a dimensionless quantity.
$$\textbf{Thus, option (D) is correct.}$$
$$ N=a\times {{10}^{b}} $$
$$ 0.00701=7.01\times {{10}^{-3}} $$
Where b is the order of magnitude
So, the order of magnitude is -3
Note: For taking the order of magnitude, the number should always be written in the scientific notation first.
Young modulus, $$\gamma =\dfrac{stress}{strain}=\dfrac{Force\,/\,Area}{\Delta L/L}=\dfrac{\left[ ML{{T}^{-2}} \right]/\,\left[ {{M}^{o}}{{L}^{2}}{{T}^{o}} \right]}{\left[ {{M}^{o}}L{{T}^{o}} \right]/\left[ {{M}^{o}}L{{T}^{o}} \right]}=\left[ M{{L}^{-1}}{{T}^{-2}} \right]$$
Hence, Dimension is $$\left[ M{{L}^{-1}}{{T}^{-2}} \right]$$ .
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