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Units and Measurement

Question : 1
Total: 33
Solution:
(a) The volume of a cube of side 1 cm is given by, V=(1cm)3
or V= (102m )3=106 m3.
(b) The surface area of a solid cylinder of radius r and height h is givenby :
A= Area of two caps + curved surface area
=2πr2+2πrh=2πr(r+h)
here r=2cm=20mm,
h=10cm=100mm
A=2×
22
7
×20(20+100) mm2

=15086 mm2
=1.5086×104mm2
=1.5×104 mm2
(c) Here v=18 km h1
=
18×1000 m
3600 s
=5ms1

t=1 s,x=vt=5×1=5 m
(d) Relative density of lead = 11.3, density of water = 1 g cm3
We know that relative density of lead =
densityoflead
densityofwater

density of lead = relative density of lead × density of water
=11.3×1g cm3
=11.3g cm3
Also in S.I. system density of water = 103kg m3
density of lead =11.3×103kg m3
=1.13×104 kg m3
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