Home
Class 11
PHYSICS
Two syringes of different cross-section ...

Two syringes of different cross-section (without needle filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston an larger piston are `1 cm` and `3 cm` respectively. If a force of 10N is applied to the smaller piston then the force exerted on the larger piston is

A

30 N

B

50 N

C

70 N

D

90 N

Text Solution

Verified by Experts

The correct Answer is:
D
As the pressure is transmitted-undiminished throughout water (pascal's law)
`:." "(F_1)/(A_1)=(F_2)/(A_2)`
`:." " F_2=F_1((A_2)/(A_1))=F_1((piR_2^2)/(piR_1^2))=F_1((R_2)/(R_1))^2`
`=10[(3/2xx10^(-2))/(1/2xx10^(-2))]^2=10xx(3)^2=90N`
Promotional Banner

Topper's Solved these Questions

  • FRICTIONAL IN SOLIDS AND LIQUIDS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • FORCE, WORK AND TORQUE

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

  • MAGNETIC EFFECT OF ELECTRIC CURRENT

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

Two syringes of different cross-sections (with out needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller pison and larger pistom are 1.0cm and 3.0 cm respectively. (a) Find the force on the larger piston when a force of 10N is applied to the smaller piston. (b) The smaller piston is pused in through 6.0 cm, much does the larger piston move out?

In an arrangement similar to a hydraulic lift, the diameters of smaller and larger pistons are 1.0 cm and 3.0 cm respectively. What is the force exerted on the larger piston when a force of 10 N is applied to the smaller piston?

In a hydraulic press used for lifting heavy loads, the diameters of smaller and larger pistons are 2 cm and 5 cm, respectively. If the smaller piston is pushed in through 5 cm, then by how much distance will the larger piston move out?

In a hydraulic press the small cylinder has a diameter of 'd_1' cm , while the large piston has a diameter of 'd_2' cm . If a force 'F_1' is applied to a small piston, the force on the large piston 'F_2' is given by.

In a hydraulic press, the area of smaller piston is 5 cm ""^(2) . The weight raised by larger piston is 900 kgf if a force of 150 kgf is applied on smaller piston. Calculate the area of larger piston.

The diameters of smaller and larger pistons in a hydraulic press are 3 cm and 15 cm respectively. To move out the larger piston by 0.4 cm calculate the distance through which the smaller piston should be pushed in.

In a hydraulic press, the area of smaller and larger pistons are 5 cm^(2) and 20 cm^(2) , respectively. Calculate the weight which can be raised by larger piston if a force of 100 kgf is applied on smaller piston.

The area of the smaller piston of a hydraulic press is 1 cm^(2) and that of larger piston is 22 cm^(2) . How much weight can be raised on the larger piston by a 200 kg f exerted on the smaller piston?