Surakshya Pandey

executive

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Asked Questions

A piece of cube of wood supporting a 200 g mass just floats in water. When the mass is removed, the cube rises by 2 cm. what is the size of cube?

Let $M$ be the mass of wooden cube and $a$ be the side of the cube.

The body is in equilibrium in both cases. So lets equate the forces in both cases.
Case I:
$0.2 g + M g = ρ_{w} V_{1} g . . . . . . (1)$

Case II:
$M g = ρ_{w} V_{2} g . . . . . . . (2)$

Here, $V_{1} = V_{2} + a^{2} . (0.02) V_{1} V_{2} = a^{2} . (0.02)$

Now, by subtracting $(2)$ from $(1)$ , we get
$0.2 g + M g M g = ρ_{w} (V_{1} V_{2}) g$
$0.2 g = ρ_{w} g (0.02. a^{2})$
$a^{2} = \frac{0.2}{0.02 ρ_{w}} = \frac{10}{1000} = 0.01 m^{2} a = 0.1 m a = 10 c m$

State law of floatation. Is body in equilibrium in floatation?

law of flotation, for a body of density D and liquid L

D<L , body floats

D>L , body sinks

D=L, equilibrium.

yes, for D=L , the body is in equilibrium

State pascals law. Prove that fluid pressure is P = hρg where the symbol carries usual meaning.

According to Pascal’s Law,“The external static pressure applied on a confined liquid is distributed or transmitted evenly throughout the liquid in all directions”.

Calculation of fluid pressure

Pfluid= P + ρgh
where,

P= Pressure at the reference point
Pfluid= Pressure at a point in a fluid
ρ= Density of the fluid
g= Acceleration due to gravity (considering earth g = 9.8 m/s)
h= Height from the reference point

The density of a fluid may be estimated by dividing its mass by the volume of fluid...

State pascals law. How fluid pressure is independent of area of container. To what height shoulda cylindrical vessel be filled with a liquid to make the force on the side of vessel will be equal to...

pascal's law states that, for a liquid enclosed in a vessel , pressure at all the portions of the container is equal and when an external pressure is applied, it transmits equally in all directions.

as stated by pascal's law, for an external force applied , the pressure is distributed within , the distribution is only dependent on area of pistons instead of the vessel.

for a cylindrical vessel , the height should be equal to its diameter for making the force equal in wall and bottom.

What is surface tension? Does it depend on surface area of fluid?

Surface tension is the phenomenon caused due to intermolecular attraction between molecules of a fluid resulting the membranous behaviour of fluid. it is also defined as the energy required to increase the surface area of a fluid by a unit.

surface tension is the force for membranous behaviour, since force is independent of the area. surface tension is also independent of area. thus, for a fluid , value of surface tension for a fixed depth, temperature and standard conditions, value of surface...

Hot soup is tastier than cold soup. Why?

Our sensation of taste is via tongue. the more the tongue tingles, the more we feel tasty. Cold soup has more surface tension because of low temperature resulting high attraction between the molecules. on the other hand, hot soup has low surface tension because of which, instead of getting attracted to other soup molecules,it sticks to our tongue and it tingles. thus, hot soup feels tastier than cold soup.

How does the Euro Cup final 2020 remind the audiences of 2018 World Cup semifinals? How?

Because Italy's midfielders controlled possession , England was forced to drop deep and have none or ten outfield men behind the ball , as was generally anticipated before the match. In the 2018 World cup semifinals, England scored early against Croatia and then spent the rest of the game chasing it's opponent's midfield until succumbing in extra time due to a recent Croatian goal.