Home
Class 11
PHYSICS
A gardener waters the plants with a pipe...

A gardener waters the plants with a pipe of dimeter `1mm` . The water comes out at the rate of `10cm^(3)//sec` . The reactionary force exerted on the hand of the gardener is

A

Zero

B

`1.27 xx 10^(-2)`N

C

`1.27 xx 10^(-4)N`

D

`0.127N`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of flow of water `= ("Volume")/(t) = 10 xx 10^(-6) m^(3)//sec`
Density of water `(p_(w)) = 1000 kg //m^(3)`
Area (A) ` = pi r^(2) = pi (0.5 xx 10^(-3))^(2)`
Force (F) ` = (dv)/(dt) = (mv)/(t) = (V rho v)/(t)`
` = ((V)/(t)) rho v = ((V)/(t)) rho ((V)/(At)) ["Since", v = ("distance")/("time") = (V)/(At) = (AI)/(At)]`
`((V)/(t))^(2) (rho)/(A) = (10 xx 10^(-6))^(2) xx (1000)/(pi xx (0.5 xx 10^(-3))^(-2))`
` = (100 xx 1000 xx 10^(-12))/(pi xx 25 xx 10^(-8))`
` = (10^(-7) xx 10^(-8))/(25pi) = (10)/(25pi) = 0.127N`
Promotional Banner

Similar Questions

Explore conceptually related problems

A gardener water the plants by a pipe of dimeter 1mm . The water comes out at the rate or 10cm^(3)m//sec^(2) . The reactionary force exerted on the hand of the gardener is

A gardener waters the plants by a pipe of diameter 1 cm . The water comes out at the rate of 20 cc/s . The reactionary force exerted on the hand of the gardener is

A 2100 W continuous flow geyser (instant geyser) has water inlet temperature = 10°C while the water flows out at the rate of 20 g/sec. The outlet temperature of water must be about

A 2100 W continuous flow geyser (instant geyser) has water inlet temperature = 10°C while the water flows out at the rate of 20 g/sec. The outlet temperature of water must be about

From a pipe of inner radius 0.75 cm, water flows at the rate of 7 m per second. Find the volume in litres of water delivered by the pipe in 1 hour.

A gardener is watering plants at the rate 0.litre//sec using a pipe of cross-sectional area 1cm^(2) What additional force he has to exert if he desires to increase the rate of watering two times ? .

The rate of burning of fuel in a rocket is 50 gm/sec. and comes out with and velocity 4 xx 10^(3) m/s. The force exerted by gas on rocket will be -

Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter 2 cm in which water flows at a rate 3ms^(-1) . The enclosure has 100 holes each of diameter 0.05 cm. The velocity of water coming out of the hole ids ("in" ms^(-1)) :