A) \[{{h}^{1/2}}{{c}^{-3/2}}{{G}^{1/2}}\]
B) \[{{h}^{1/2}}{{c}^{3/2}}{{G}^{1/2}}\]
C) \[{{h}^{1/2}}{{c}^{-3/2}}{{G}^{-1/2}}\]
D) \[{{h}^{-1/2}}{{c}^{-3/2}}{{G}^{1/2}}\]
Correct Answer: A
Solution :
Let radius of gyration \[[k]\propto {{[h]}^{x}}{{[c]}^{y}}{{[G]}^{z}}\] By substituting the dimension of\[[k]=[L]\], \[[h]=[M{{L}^{2}}{{T}^{-1}}],\,[c]=[L{{T}^{-1}}],\,[G]=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]and by comparing the power of both sides we can get \[x=1/2,\,y=-3/2,\,z=1/2\] So dimension of radius of gyration are \[{{[h]}^{1/2}}{{[c]}^{-3/2}}{{[G]}^{1/2}}\]You need to login to perform this action.
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