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For two-stage compressor in which index of compression for low pressure stage is m and for high pressure stage is n. The load sharing with perfect intercooling is expressed as:

A) \[\frac{{{W}_{1}}}{{{W}_{2}}}=\frac{m(n-1)}{n(m-1)}\]         

B) \[\frac{{{W}_{1}}}{{{W}_{2}}}=\frac{n(n-1)}{m(m-1)}\]

C) \[\frac{{{W}_{1}}}{{{W}_{2}}}=\frac{n}{m}\]                       

D) \[\frac{{{W}_{1}}}{{{W}_{2}}}=\frac{m}{n}\]