Calculate Planck Time: tp=√(Gh/c^5)

  • Thread starter Kudo Shinichi
  • Start date
  • Tags
    Dimensions
In summary, the Planck time (tp) is the earliest time at which the known laws of physics can be applied, after the creation of the Universe. It is calculated using the gravitational constant (G), Planck's constant (h), and the speed of light (c). The equation for tp is tp=√(Gh/c^5), and when substituted with the given values, tp=1.32x10^-22 seconds.
  • #1
Kudo Shinichi
109
1

Homework Statement


tp=√(Gh/c^5)
This quantity, tp, is called the Planck time and is thought to be the earliest time, after the creation of the Universe, at which the currently known laws of physics can be applied.

Extra info(I don't know is it going to be helpful for solving this question): The smallest meaning ful measure of length is called the Plank length and is defined in terms of three fundamental constants in nature.
The speed of light c=3.00x10^8 m/s
The gravitational constants G=6.67x10^-11 m^3/kg*s^2
Planck's constant h=6.63x10^-34 kg*m^2/s

Sorry, I have never take physics before, so I have no idea how to solve this question. Thank you for spending your valuable time.
 
Physics news on Phys.org
  • #2
Homework Equationstp=√(Gh/c^5)The Attempt at a Solution Substitute the given values for G, h, and c into the equation: tp=√((6.67x10^-11 m^3/kg*s^2)*(6.63x10^-34 kg*m^2/s)/(3.00x10^8 m/s)^5)tp=√(6.67x10^-11*6.63x10^-34/(3.00x10^8)^5)tp=√(1.76x10^-45)tp=1.32x10^-22 s
 

FAQ: Calculate Planck Time: tp=√(Gh/c^5)

What is Planck time?

Planck time is the unit of time in the system of natural units known as Planck units. It is the time it takes for light to travel a distance of one Planck length in a vacuum. It is the shortest measurable length of time in the universe.

How is Planck time calculated?

Planck time can be calculated using the formula tp=√(Gh/c^5), where G is the gravitational constant, h is the Planck constant, and c is the speed of light.

What is the significance of Planck time?

Planck time is significant because it is the smallest unit of time that has any physical meaning. It is also believed to be the time scale at which quantum gravity effects become important.

Can Planck time be observed or measured?

No, Planck time is so small that it is currently impossible to directly measure or observe it. It is purely a theoretical concept based on our current understanding of physics.

What other units are related to Planck time?

In addition to Planck time, there are other Planck units including Planck length, Planck mass, and Planck energy. These units are all derived from fundamental physical constants and are used to study the behavior of matter and energy at the smallest scales.

Similar threads

Replies
5
Views
1K
Replies
1
Views
1K
Replies
6
Views
2K
Replies
1
Views
1K
Replies
6
Views
3K
Replies
1
Views
3K
Replies
2
Views
3K
Replies
21
Views
3K
Back
Top