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Standard XII

Physics

Venturimeter

Q. A U-tube h...

Question

Q. A U-tube having horizontal arm of length 20 cm, has uniform cross-sectional area = 1 sq. cm. It is filled with water of volume 60 cc. What volume of a liquid of density 4 g/cc should be poured from one side into the U-tube so that no water is left in the horizontal arm of the tube?
A. 60 cc
B. 45 cc
C. 50 cc
D. 35 cc

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Solution

Dear Student,
$A c c o r d i n g t o q u e s t i o n P r e s s u r e i n w a t e r a r m = p r e s s u r e i n l i q u i d (d e n s i t y 4 g / c c) a r m 60 \times 1 \times g = h \times 4 \times g h = 15 c m s o v o l u m e o f l i q u i d = (20 + 15) c c = 35 c c$
Regards

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Dear Student, According to question Pressure in water arm=pressure in liquid ( density 4g/cc) arm60×1×g=h×4×gh=15cmso volume of liquid =(20+15)cc=35cc Regards

Dear Student,
$A c c o r d i n g t o q u e s t i o n P r e s s u r e i n w a t e r a r m = p r e s s u r e i n l i q u i d (d e n s i t y 4 g / c c) a r m 60 \times 1 \times g = h \times 4 \times g h = 15 c m s o v o l u m e o f l i q u i d = (20 + 15) c c = 35 c c$
Regards