NCERT Solutions
Class 11 Physics
Units and Measurement

Q.1.1
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 10.0 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) Volume of cube = (a)3 (equation 1)
Length of edge 1cm= (1/100) m
Volume of cube = (1/100) m3
Using equation (1); 1cm x 1cm x 1cm
= (1/100) m x (1/100) m x (1/100) m
Therefore 1cm3 = 10-6m3
Hence, the volume of a cube of side 1cm is equal to =10-6m3.
(b) The total surface area of a cylinder of radius r and height h is: Given that:- r=2cm = (2x1) cm = (2x10) mm r=20mm h=10cm= (10 x 10) mm =100mm
Surface area of the cylinder S = 2 πr (h+r)
= (2x3.14x20x (20+100))
=15072
=1.5 x 104(mm) 2
Therefore, the surface area of a solid cylinder of radius 2.0cm and height 10.0cm is equal to =1.5 x 104mm2
(c) Given Time, t = 1sec.
Speed s = 18 kmh-1
Using, 1km = 1000m
1hour = 3600sec
Speed s = 18 x ( ) =
Therefore speed =
Distance = (speed x time) = 5 x 1 =5m.
Therefore, a vehicle moving with speed of 18kmh -1 covers 5m in 1s.
(d) Density of lead
= (Relative density of lead) x (Density of water)
Density of water =
= (11.3 x 1) = 11.3
Again, 1g = ( ) kg = (
) kg
1cm3 = ( ) = (
) m3
Therefore, =
= (11.3 x x
) kg
= (1.13 x ) kg
Therefore; the relative density of lead is 11.3. Its density is
11.3 g or 1.13 x
kg