Convert the following into specified units :
(a) 100 s into ns (c) 200 kg into mg
(d) 1000 `cm^3` into `m^3`
(e) 1 pm into nm (f) 75 g into kg
(g) 50 urn into cm

Explanation

(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`