A) \[{{c}^{1/2}}{{G}^{1/2}}{{h}^{1/2}}\]
B) \[{{c}^{1/2}}{{G}^{1/2}}{{h}^{-1/2}}\]
C) \[{{c}^{1/2}}{{G}^{-1/2}}{{h}^{1/2}}\]
D) \[{{c}^{-1/2}}{{G}^{1/2}}{{h}^{1/2}}\]
Correct Answer: C
Solution :
Let \[m\propto {{C}^{x}}{{G}^{y}}{{h}^{z}}\] By substituting the following dimensions: \[[C]=L{{T}^{-1}};\,[G]=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\] and \[[h]=[M{{L}^{2}}{{T}^{-1}}]\] Now comparing both sides we will get \[x=1/2;\,y=-1/2,\,z=+1/2\] So \[m\propto {{c}^{1/2}}{{G}^{-1/2}}{{h}^{1/2}}\]You need to login to perform this action.
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