A cylinder of mass m and density P hanging from a string is lowered into a vessel of cross sectional area A containing a liquid of density - until it is fully immersed- The increase in pressure at the bottom of the vessel isA- zeroB- m g -m o gC- m - g-qAD- m g-A

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Buoyant Force

A cylinder of...

Question

A cylinder of mass m and density Ρ hanging from a string is lowered into a vessel of cross sectional area A containing a liquid of density $σ (<)$ until it is fully immersed. The increase in pressure at the bottom of the vessel is

zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
Volume of cylinder $= \frac{m}{ρ}$

Upthrust on cylinder $= (\frac{m}{ρ}) σ g$

From Newton's third law,thr downward force exerted by cylinder on the liquid is $= (\frac{m}{ρ}) σ g$

Therefore increase in pressure $= \frac{m σ g}{ρ A}$

Suggest Corrections

Similar questions

Q. A cylinder of mass 'm' base area 's' and density

σ

hanging from a string is lowered into a vessel of cross-sectional areas containing a liquid of density a

(p < σ)

until it is fully immersed. The increase in pressure at the bottom of the vessel

Q. A transverse wave is passing through a light string shown in the figure.The equation of wave is

y = A sin (c o ω t - k x)

.The area of cross-section of string is

A

and density is

p

.The hanging mass is:

What expression gives the restoring force, F acting on a cylinder floating vertically in a liquid of density,σ (Motion being simple harmonic)? Given mass, length, area of cross section of cylinder is m, l, A respectively.

Q. A uniform cylinder of length

L

and mass

M

having cross - sectional area

A

is suspended, with its length vertical, from a fixed point by a massless spring such that it is half submerged in a liquid of density

σ

at
equilibrium position. The extension

x_{0}

of the spring when it is in equilibrium is :

Q. A vertical hanging bar of length

l

and mass density

m

per unit length carries a load of mass

M

at lower end, its upper end is clamped to a rigid support. The tensile stress a distance

x

from support is (

A \to

area of cross-section of bar).

Join BYJU'S Learning Program

A cylinder of mass m and density Ρ hanging from a string is lowered into a vessel of cross sectional area A containing a liquid of density σ (<) until it is fully immersed. The increase in pressure at the bottom of the vessel is

The correct option is D Volume of cylinder = mρ Upthrust on cylinder = (mρ) σ g From Newton's third law,thr downward force exerted by cylinder on the liquid is = (mρ) σ g Therefore increase in pressure =m σ gρA

A cylinder of mass m and density Ρ hanging from a string is lowered into a vessel of cross sectional area A containing a liquid of density $σ (<)$ until it is fully immersed. The increase in pressure at the bottom of the vessel is

The correct option is D
Volume of cylinder $= \frac{m}{ρ}$

Upthrust on cylinder $= (\frac{m}{ρ}) σ g$

From Newton's third law,thr downward force exerted by cylinder on the liquid is $= (\frac{m}{ρ}) σ g$

Therefore increase in pressure $= \frac{m σ g}{ρ A}$