AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U - shaped tube open at the both ends. If this U-tube contains water, what is the difference in the level of two limbs of the tube?
[ Take surface tension of water $T = 7.3 \times 10^{- 2} {Nm}^{- 1}$ , angle of contact =0, g = 10ms^-2 and density of water $= 1.0 \times 10^{3} {kgm}^{- 3}$ ]

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

2.19 mm

3.62 mm

4.97 mm

5.34 mm

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given,

$d_{1} = 5 mm, d_{2} = 8 mm$

The difference in capillary rise between the two arms of the U-tube will match the level difference between them.

The capillary rise h = $\frac{2 Tcosθ}{rρg}$

$h_{1} = \frac{2 \times 7.3 \times 10^{- 2}}{2.5 \times 10^{- 3} \times 10^{3} \times 10} = 5.84 mm$

$h_{2} = \frac{2 \times 7.3 \times 10^{- 2}}{4 \times 10^{- 3} \times 10^{3} \times 10} = 3.65 mm$

The level difference is

$Δh = h_{1} - h_{2} = 5.84 - 3.65 = 2.19 mm$

Hence the correct answer is 2.19mm.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!