Question

(a) The diameter of neck and bottom of a bottle are
2 cm and 10 cm respectively. The bottle is
completely filled with oil. If the cork in the neck
is pressed in with a force of 1-2 kgf, what force is
exerted on the bottom of the bottle ?
(b) Name the law/principle you have used to find the
force in part (a)​

Answer 1

Answer:

ANSWER

(i) Radius of the cork at the neck is 1cm.

Area of the cork, A

c

=π×1

2

cm

2

So, pressure applied through the cork, P

c

=

π×1

2

1.2

kgf.cm

−2

Same pressure is applied on the bottom of the bottle as per Pascal's law.

Radius of the bottom of bottle is 5cm.

Area of the bottom, A

b

=π×5

2

cm

2

So, force applied at the bottom = P

c

×A

b

=

π×1

2

1.2

×π×5

2

=1.2×25=30kgf

(ii) pascal's law is used to find the force.