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Fill in the blanks by suitable conversion of units(a) 1 kg m2 s-2 = …………. g cm2 s-2(b) 1 m =……….. ly(c) 3.0 m s-2 =……. km h-2(d) G = 6.67 × 10-11 N m2 (kg)-2 = ……. (cm)3 s-2 g-1. |
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Answer» (a) 1 Kg m2s-2 = ((1 x103g) x (1 x 102 cm)2/1s2) = 1 × 107g cm2s-2 (b) 1 light year = 3 × 108 × 3600 × 24 × 365 = 1 × 1016m (c) 3.0 m s-2 = (3 x 10-3 km)/(1/3600h)2 = 3.888 × 104 km h-2 = 3.9 × 104 km h-2 (expressed in 2 significant figures) (d) G = 6.67 × 10-11 Nm2 (kg)-2 1 N = 1 kg m s-2 ∴ G = 6.67 × 10 = 6.67 × 10-11 × (100 cm)3 s-2 (1000g)-1 = 6.67 × 10-8 (cm)3 s-2 g-1 |
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