1.

If the dimensions of length are expressed as \[{{G}^{x}}{{c}^{y}}{{h}^{z}}\]; where \[G,\,c\] and \[h\]  are the universal gravitational constant, speed of light and Planck's constant respectively, then    [IIT 1992]

A.             \[x=\frac{1}{2},\,\,y=\frac{1}{2}\]
B.                       \[x=\frac{1}{2},\,\,z=\frac{1}{2}\]
C.             \[y=\frac{1}{2},\,\,z=\frac{3}{2}\]
D.                      \[y=-\frac{3}{2},\,\,z=\frac{1}{2}\]
Answer» C.             \[y=\frac{1}{2},\,\,z=\frac{3}{2}\]


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