A tube of length /r, which is wide enough to male surface tension effects negligible, is closed at one end. It is then lowered into a tank of mercury to a depth.h as shown in fig. (4), so that mercury rises a distance x into the tube. If the mercury barometer stands at i also, then
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
(2h−x)(h−x)=h2
b
h(h−x)=h2
c
(2h−x)(h+x)=h2
d
2h(h−x)=h2
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
At atmospheric pressure, the air fills the tube. Its volume is h a, where a is area of cross section of the tube. Whenthe tube is pushed into mercury, the air volume is (h-x) a Applying Boyle's law, we haveh⋅ha=(2h−x)(h−x)a or h2=(2h−x)(h−x)