## Black hole and wormhole

What is black hole and wormhole?

Black Hole:

A black hole is a place in space where the gravitational pull is too strong that nothing, not even light, can escape it. It is formed when a massive star collapses in on itself and becomes extremely dense, with all its mass concentrated in a single point known as a singularity. The boundary surrounding the black hole beyond which nothing can escape is known as the event horizon.

Wormhole:

A wormhole, on the other hand, is a theoretical concept in physics that suggests the existence of a shortcut through space-time, connecting two points in the universe that may be far apart. Wormholes are like tunnels through space-time that can connect two distant regions, allowing for faster-than-light travel or the possibility of time travel. The concept of a wormhole arises from Einstein's theory of general relativity, which describes how gravity warps space and time. However, no direct evidence of the existence of wormholes has been found so far, and their theoretical properties are still being studied.

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### Bernoulli's Theorem and Derivation of Bernoulli's Equation

Statement of Bernoulli's Theorem: When an ideal fluid (i.e incompressible and non-viscous Liquid or Gas) flows in streamlined motion from one place to another, then the total energy per unit volume (i.e Pressure energy + Kinetic Energy + Potential Energy) at each and every of its path is constant. $P+\frac{1}{2}\rho v^{2} + \rho gh= constant$ Derivation of Bernoulli's Theorem Equation: Let us consider that an incompressible and non-viscous liquid is flowing in streamlined motion through a tube $XY$ of the non-uniform cross-section. Now Consider: The Area of cross-section $X$ = $A_{1}$ The Area of cross-section $Y$ = $A_{2}$ The velocity per second (i.e. equal to distance) of fluid at cross-section $X$ = $v_{1}$ The velocity per second (i.e. equal to distance) of fluid at cross-section $Y$ = $v_{2}$ The Pressure of fluid at cross-section $X$ = $P_{1}$ The Pressure of fluid at cross-section $Y$ = $P_{2}$ The height of cross-section $X$ from