A) \[{{c}^{2}}{{g}^{0}}{{p}^{-2}}\]
B) \[{{c}^{0}}{{g}^{2}}{{p}^{-1}}\]
C) \[c{{g}^{3}}{{p}^{-2}}\]
D) \[{{c}^{-1}}{{g}^{0}}{{p}^{-1}}\]
Correct Answer: B
Solution :
Let \[[G]\propto {{c}^{x}}{{g}^{y}}{{p}^{z}}\] by substituting the following dimensions : \[[G]=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}],\,[c]=[L{{T}^{-1}}],[g]=[L{{T}^{-2}}]\] \[[p]=[M{{L}^{-1}}{{T}^{-2}}]\] and by comparing the powers of both sides we can get \[x=0,\,y=2,\,z=-1\] \[M{{L}^{2}}{{T}^{-2}}\] \[[G]\propto {{c}^{0}}{{g}^{2}}{{p}^{-1}}\]
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