1.

The speed of light c, acceleration due to gravity g and pressure p are taken as fundamental units, the dimensions of gravitational constant G are :

Answer»

`c^(0)GP^(-3)`
`c^(2)g^(3)p^(-2)`
`c^(0)g^(2)p^(-1)`
`c^(2)g^(2)p^(-2)`

Solution :LET `G=c^(X)g^(y)p^(z)`
`M^(-1)L^(3)T^(-2)=[L^(1)T^(-1)]^(x)[L^(1)T^(-2)]^(y)[ML^(-1)T^(-2)]^(z)`
`=M^(z)L^(x+y-z)T^(-x-2y-2z)`
Then`z=-1,x+y+1=3,-x-2(y+z)=-z`
or`-x-2y+2=-2`
`-(x+y)-y=-4`
`-2-y=-4` or `y=2`
`x=0`
`:.G=c^(0)g^(2)p^(-1)`
Hence CORRECT choice is `(c )`.


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