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

The volume coefficient of expansion of mercury is 20 times the linear coefficient of expansion of glass. What volume of mercury should be poured into a glass vessel of volume V, so that the volume above mercury in the vessel may remain constant at all temperatures?

A
V3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3V20
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
V20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
7V20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 3V20
Let x be the volume of mercury poured into vessel. The volume unoccupied by Hg=(Vx).
Let the temperature be raised through θ0C. Then V becomes V(1+3αθ)=V
x becomes x(1+γθ)=x
Vx=Vx
V(1+3αθ)x(1+γθ)=Vx
x=3αγV,butαγ=120
x=3V20

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Messengers of Heat
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon