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Question 15 Marks
Describe an experiment to determine the density of the material of a coin.
Answer
Density $=$ Mass $/$ volume
To find the density of the material of a coin, we need to find its
$1.$ mass$-$by common beam balance and
$2.$ Its volume by measuring cylinder.
Measure the mass of coin.
EXPERIMENT $-$ Let the mass of coin shown by beam balance $=M\  ($gram$)\  =50 g\  ($ray$)$
Measure the vol. of the coin.
Initial volume of water $= V _1=40\  ml\  ($say$)$
Final volume of water
When coin is added in the cylinder $= V _2=50\  ml\  ($say$)$
Then vol. of coin $= V _2- V _1=50-40=10\  ml$
Density of material of coin $=D=\frac{M}{V}=\frac{50}{52-42}=\frac{50}{10}$ 
$=5\  g /cm^-3$
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Question 25 Marks
Match the following :
Column $A$ Column $B$
$(a)$ $kg m^-3$ $(i)$ relative density
$(b)$ no unit $(ii)$ sinks in alcohol
$(c)$ relative density $(iii)$ floats on water
$(d)$ iron $(iv)$ density
$(e)$ wood $(v)$ density bottle
Answer
Column $A$ Column $B$
$(a)$ $kg m^-3$ $(iv)$ density
$(b)$ no unit $(i)$ relative density
$(c)$ relative density $(v)$ density bottle
$(d)$ iron $(ii)$ sinks in alcohol
$(e)$ wood $(iii)$ floats on water
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Question 35 Marks
The mass of an empty density bottle is $21.8 g$ when filled completely with water is $41.8 g$ and when filled completely with liquid it is $40.6 g.$ Find
$a.$ the volume of density bottle.
$b.$ the relative density of liquid.
Answer
$(a)$ Density of water is $1 g /Cm ^3$
$\therefore$ Volume of density bottle $=$ weight of water in grams completely filling the bottle
Volume of density bottle:
Mass of empty density bottle $= M _1=21.8 g$
Mass of bottle $+$ water $= M _2=41.8 g$
$\therefore$ Mass of water completely filling the density bottle
$= M_2 - M_1$
$= 41.8 - 21.8$
$= 20 g$
Density of water $= 1 g/cm^3$
Volume $= 20 g$
$\therefore V = 20 g = 20\  mL$
$\therefore V = 20\  mL$​​​​​​​
$(b)$​​​​​​​ Mass of liquid $= ($mass of liquid $-$ mass of density bottle$)$
$= 40.6 - 21.8$
$= 18.8 g$
Relative density $= "$Mass of Liquid$"/"$Mass of waste"
$= (18.8)/(20)$
$= 188/200$
$= 94/100$
$= 0.94$
$\therefore $ Relative density of liquid $= 0.94$
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[5 Mark Question Answer] - PHYSICS STD 8 Questions - Vidyadip