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If dimensions of critical velocity \( v_{c} \) of a liquid flowing through a tube are expressed as \( \left[\eta^{x} \rho^{y} r^{z}\right] \), where \( \eta, \rho \) and \( r \) are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of \( x, y \) and \( z \) are given by
(a) \( 1,-1,-1 \)
(b) \( -1,-1,1 \)
(c) \( -1,-1,-1 \)
(d) \( 1,1,1 \)
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