1.

Express the following in SI units : (i) 5' 6'', the average height of an Indian man. (ii) 80 miles per hour, the average speed of a roadways bus. (iii) 100 pounds, the average weight of an Indian girl. (Take 1 lb = 454 g) (iv) -10^(@)C, the lowest temperature in Simla. (v) 2 litres of milk, the average consumption of a family of 4 persons. (vi) 14 pounds per square inch (atmospheric pressure)

Answer»


SOLUTION :(i) `5'6''=66''="66 in"xx(2.54cm)/("1 in")xx(1m)/(100cm)=1.6764m=1.68m`
(after rounding off to have 3 significant figures as that of the least precise term)
(ii) `("80 miles")/("1 hour")xx("80 miles")/("1 miles")xx("1760 yd")/("1 ft")xx("3 ft")/("1 yd")xx("12 in")/("1 ft")xx("2.54 cm")/("1 in")xx("1 m")/("100 cm")=35.76ms^(-1)=35.8ms^(-1)`
(iii) `100lb=100lbxx(454g)/(1lb)xx(1kg)/(1000g)=45.4kg`
(iv) `-10^(@)C=-10+273.15K=263.15K`
(v) `2L=2Lxx(1000cm^(3))/(1L)xx(1dm)/(10cm)xx(1dm)/(10cm)xx(1dm)/(10cm)=2dm^(3)`
(vi) `(14lb)/("1 inch"^(2))xx(1kg)/("2.205 LB")xx("1 inch")/("2.54 cm")xx("1 inch")/("2.54 cm")xx("100 cm")/("1 m")xx("100 cm")/("1 m")="9841.3 kg per square metre."`


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