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Convert the following into specified units : (a) 100 s into ns |
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Answer» Solution :(a) `therefore 1s = 10^(9)` ns The CONSERVATION factor would be: `1 = (10^(9) ns)/(ns)` `100s = 100 s xx 1 = 100 s xx (10^(9)ns)/(1s) = 1.0 xx 10^(11) ns` (b) `therefore 1 km = 10^(3) m` `therefore` The conversion factor would be `1 = (10^(3) m)/(1 km)` `therefore 60 km = 60 km xx 1 = 60 km xx (10^(3) m)/(1 km)` `=6.0 xx 10^(4) m` ( c) `therefore 1 kg = 10^(3) g` and `1 g = 10^(3) mg` 1kg = `10^(3) xx 10^(3) = 10^(6) mg` Hence, the conversion factor would be `1=(10^(6) mg)/(1 kg)` `=2.00 xx 10^(8) mg` (d ) `therefore 1 cm = 10^(-2) m` `therefore 1 cm^(3) = 10^(-2) xx 10^(-2) xx 10^(-2) m^(3) = 10^(-6) m^(3)` Hence, the conversion factor would be: `1 = (10^(-6) m^(3))/(1 cm^(3))` `1000 cm^(3) = 1000 cm^(3) xx1` `=1000 cm^(3) xx (10^(-6) m^(3))/(1 cm^(3))` (e ) `therefore 1 pm = 10^(-12)m` and `1m = 10^(8) nm` `therefore 1pm = 10^(-12) xx 10^(9) = 10^(-3) nm` ( f) `therefore 1G = 10^(-3) g` `therefore` The conversion factor would be: `1=(10^(-3) kg)/(1kg)` `therefore 75 g = 75 g xx 1 = 75 g xx (10^(-3) kg)/(1 kg)` `=(7.5 xx 10^(-2)) kg` (g) `therefore 1 mum = 10^(-6) m` and `1m = 10^(2) cm` `1mu m =10^(-6) xx 10^(-2) = 10^(-4) cm` Hence, the conversion factor is: `1 = (10^(-4) cm)/(1 mum)` `50 mum = 50 mum xx 1 = 50 mum xx (10^(-4) cm)/(1 mum)` `=5.0 xx 10^(-3) cm` |
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