wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A sample of sand has a volume of 1000 ml in its natural state. Its minimum volume when compacted is 750 ml. When gently poured into a measuring cylinder, its possible maximum volume is 1320 ml. What is the relative density?

A
56
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
52
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
58
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
60
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 56

V=10ml,

Vmin=750ml,

Vmax=1320ml

e=Voidratio=VVVS

Hence,Vs=constant for all condition only Vv changes.
Let,Vs=x

e=VvVs=VVsVs=VVs1

For natural state, e=100x1

For maximum compacted state,
emax=1320x1
For minimum compacted,

emin=750x1

Relativedensity=emaxeemaxemin×100

=(1320x1)(1000x1)(1320x1)(750x1)×100

=320x570x×100=320570×100=56.14%


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Optimum Moisture Content and Maximum Dry Density
SOIL MECHANICS
Watch in App
Join BYJU'S Learning Program
CrossIcon