Units and Measurement
© examsnet.com
Question : 1
Total: 33
Fill in the blanks
(a) The volume of a cube of side 1 cm is equal to ....m3 .
(b) The surface area of a solid cylinder of radius 2.0 cm and height 10 cm is equal to ....(mm)2 .
(c) A vehicle moving with a speed of 18 km h– 1 covers....m in 1 s.
(d) The relative density of lead is 11.3. Its density is ....g cm– 3 or ...kg m– 3 .
(a) The volume of a cube of side 1 cm is equal to ....m
(b) The surface area of a solid cylinder of radius 2.0 cm and height 10 cm is equal to ....(mm)
(c) A vehicle moving with a speed of 18 km h
(d) The relative density of lead is 11.3. Its density is ....g cm
Solution:
(a) The volume of a cube of side 1 cm is given by, V = ( 1 c m ) 3
or V = ( 10 − 2 m ) 3 = 10 − 6 m 3 .
(b) The surface area of a solid cylinder of radius r and height h is givenby :
A = Area of two caps + curved surface area
= 2 π r 2 + 2 π r h = 2 π r ( r + h )
herer = 2 c m = 20 m m ,
h = 10 c m = 100 m m
∴ A = 2 ×
× 20 ( 20 + 100 ) m m 2
= 15086 m m 2
= 1.5086 × 10 4 m m 2
= 1.5 × 10 4 m m 2
(c) Herev = 18 k m h − 1
=
= 5 m s − 1
t = 1 s , x = v t = 5 × 1 = 5 m
(d) Relative density of lead = 11.3, density of water = 1 g cm– 3
We know that relative density of lead=
∴ density of lead = relative density of lead × density of water
= 11.3 × 1 g c m − 3
= 11.3 g c m − 3
Also in S.I. system density of water = 103 kg m– 3
∴ density of lead = 11.3 × 10 3 k g m − 3
= 1.13 × 10 4 k g m − 3
or
(b) The surface area of a solid cylinder of radius r and height h is givenby :
here
(c) Here
(d) Relative density of lead = 11.3, density of water = 1 g cm
We know that relative density of lead
Also in S.I. system density of water = 10
© examsnet.com
Go to Question: