(A) Micro-gram $(m . m .)^{- 3} = . . . . . . . k g m^{- 3}$
(B) Nanometer min $^{- 2} = . . . . . . m s e c^{- 2}$
(C) $k g f c m^{- 2} = . . . . . . N m^{- 2}$ (kgf = 10 N)
(D) $k g m^{- 2} s^{- 2} = . . . . . g r c m^{2} S^{- 2}$

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Solution

$(A) M i c r o - g r a m (m . m .)^{- 3} = \frac{10^{- 9}}{{(10^{- 3})}^{3}} k g m^{- 3} = 1 k g m^{- 3}$

$(B) N a n o m e t e r m i n^{- 2} = \frac{10^{- 9}}{{(60)}^{2}} m s e c^{- 2} = \frac{1}{36} \times 10^{- 11} m s e c^{- 2}$

$(C) k g f c m^{- 2} = \frac{10}{{(10^{- 2})}^{2}} N m^{- 2} = 10^{5} N m^{- 2}$

$(D) k g m^{- 2} s^{- 2} = \frac{10^{3}}{{(10^{2})}^{2}} g c m^{2} s^{- 2} = 10^{- 1} g c m^{2} s^{- 2}$

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(A) Micro-gram (m.m.)−3=.......kgm−3 (B) Nanometer min−2=......msec−2 (C) kgfcm−2=......Nm−2 (kgf = 10 N) (D) kgm−2s−2=.....grcm2S−2

(A)Micro−gram(m.m.)−3=10−9(10−3)3kgm−3=1kgm−3(B)Nanometer min−2=10−9(60)2msec−2=136×10−11msec−2(C)kgfcm−2=10(10−2)2Nm−2=105Nm−2(D)kgm−2s−2=103(102)2gcm2s−2=10−1gcm2s−2

(A) Micro-gram $(m . m .)^{- 3} = . . . . . . . k g m^{- 3}$
(B) Nanometer min $^{- 2} = . . . . . . m s e c^{- 2}$
(C) $k g f c m^{- 2} = . . . . . . N m^{- 2}$ (kgf = 10 N)
(D) $k g m^{- 2} s^{- 2} = . . . . . g r c m^{2} S^{- 2}$