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Physics Mechanical Properties of Fluids

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Physics Mechanical Properties of Fluids Class 11th

A cube of mass ' $m$ ' and density ' $D$ ' is suspended from the point ' $P$ ' by a spring of stiffness $k$ as shown in figure. The system is kept inside a beaker filled with a liquid of density ' $d$ ', where $D > d$ . What is the elongation in the spring?

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alok kumar singh

Contributor-Level 10

$k x = m g - F_{u p}$

$k x = m g - \frac{m d}{D} g$

$x = \frac{m g}{k} (1 - \frac{d}{D})$

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New answer posted

2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

A man is sitting in a boat which is floating in a pond. If the man drink some water from the pond, what will happen to the level of water in the pond?

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alok kumar singh

Contributor-Level 10

Since the water removed from the pond will be equal to the water displacement by the (man + boat) system, the level of water in the pond remains the same.

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2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

n droplets of water each of radius r coalesce to form a big drop of radius R. If the energy released during coalescence goes into heating the drop, then the rise in temperature will be (take T as surface tension of water and J as mechanical equivalent of heat)

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Raj Pandey

Contributor-Level 9

$R = n^{1 / 3} r$

$E = T . Δ A = ms Δ T J$

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2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $ω$ then

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Raj Pandey

Contributor-Level 9

Water level in both section A and B will be goes up due being of centrifugal force water will goes away and it acquire the force from upside so the water will does up so water level in both the section A and B goes up.

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New answer posted

2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

A cube of mass ' $m$ ' and density ' $D$ ' is suspended from the point ' $P$ ' by a spring of stiffness $k$ as shown in figure. The system is kept inside a beaker filled with a liquid of density ' $d$ ', where $D > d$ . What is the elongation in the spring?

0 Follower 2 Views

alok kumar singh

Contributor-Level 10

$k x = m g - F_{u p}$

$k x = m g - \frac{m d}{D} g$

$x = \frac{m g}{k} (1 - \frac{d}{D})$

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New answer posted

2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

A rain drop of radius r falls in air with terminal velocity v. What is the terminal velocity of a rain drop of radius 3r?

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Vishal Baghel

Contributor-Level 10

$v_{T} \propto r^{2}$

$\frac{v_{T_{1}}}{v_{T_{2}}} = \frac{r_{1}^{2}}{r_{2}^{2}} = \frac{r^{2}}{9 r^{2}}$

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New answer posted

2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

The velocity of liquid coming out of a small hole of a large vessel containing two different liquids shown in figure is

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Vishal Baghel

Contributor-Level 10

Applying Bernoulli's theorem

$\Rightarrow P_{0} + ρ g 2 h + 2 ρ g h + 0 = P_{0} + \frac{1}{2} 2 ρ v^{2}$

$\Rightarrow V^{2} = 4 g h$

$\Rightarrow v = 2 \sqrt[]{g h}$

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2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

Mercury does not wet glass because

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alok kumar singh

Contributor-Level 10

Cohesive force in mercury molecules are greater than adhesive force

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2 weeks ago

Physics Mechanical Properties of Fluids Class 11th

An ideal fluid of density 800kgm^-³, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2} .$ The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is $\frac{\sqrt[]{x}}{6} m s^{- 1}$ for x = ________. (Given g = 10 ms^-²)

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Raj Pandey

Contributor-Level 9

$ρ = 800 k g / m^{3}$

P₁ – P₂ = 4100 Pa

Bernoulli's question b/w (1) & (2)

$\frac{P_{1}}{ρ g} + \frac{v_{1}^{2}}{2 g} + z_{1} = \frac{P_{2}}{ρ g} + \frac{v_{2}^{2}}{2 g} + z_{2}$

⇒ $\frac{P_{1} - P_{2}}{ρ g} + \frac{v_{1}^{2}}{2 g} + 1 = \frac{v_{2}^{2}}{2 g} + 0$ -(1)

Equation of continuity

A₁v₁ = A₂v₂

v₂ = 2v₁ -(2)

from (1) & (2)

$\Rightarrow \frac{P_{1} - P_{2}}{ρ g} + \frac{v_{1}^{2}}{2 g} + 1 = \frac{{(2 v_{1})}^{2}}{2 g}$

$\frac{4100}{800 * 10} + \frac{v_{1}^{2}}{2 g} + 1 = \frac{4 v_{1}^{2}}{2 g}$

$\frac{12100}{8000} = \frac{3 v_{1}^{2}}{2 g}$

$\Rightarrow v_{1}^{2} = \frac{2 * 10}{3} * \frac{12100}{8000}$

$= \frac{2}{3} * \frac{121}{8}$

x = 363

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New answer posted

2 weeks ago

Physics Mechanical Properties of Fluids Mechanical Properties of Fluids

A small spherical ball of radius 0.1mm and density 10⁴kgm^-3 falls freely under gravity through a distance h before entering a tank of water. If, after entering the water the velocity inside water, then the value of h will be_________ m.

(Given g = 10 ms^-2, viscosity of water = 1.0 * 10^-5 N-sm^-2).

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Vishal Baghel

Contributor-Level 10

Since velocity does not change, so acceleration will be zero.

mg = FB + Fv $\Rightarrow \frac{4 π}{3} r^{3} ρ g = \frac{4 π}{3} r^{3} σ g + 6 π η r v$

$\Rightarrow v = \frac{2 r^{2} (ρ - σ) g}{9 η} = \frac{2 * 0.1 * 0.1 * 1 0^{- 6} * (1 0^{4} - 1 0^{3}) * 10}{9 * 1.0 * 1 0^{- 5}}$

$\Rightarrow h = \frac{400}{2 g} = 20 m$

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