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Question: Two capillaries of same length and radii in the ratio 1 : 2 are connected in series. A liquid flows ...

Two capillaries of same length and radii in the ratio 1 : 2 are connected in series. A liquid flows through them in streamlined condition. If the pressure across the two extreme ends of the combination is 1 m of water, the pressure difference across the first capillary is

A

(a) 9.4 m

A

(b) 4.9 m

A

(c) 0.49 m

A

(d) 0.94 m

Explanation

Solution

(d) Here and

As

Or

P1=16P2\therefore \mathrm { P } _ { 1 } = 16 \mathrm { P } _ { 2 }

Since, both tubes are connected in series, hence pressure difference across the combination is

Or