Two starships, the Enterprise and the Constitution, are approaching each other head-on from a great distance. The separation between them is decreasing at a rate of 713.0 km/s. The Enterprise sends a laser signal toward the Constitution. If the Constitution observes a wavelength ? = 712.2 nm, what wavelength was emitted by the Enterprise? Express your answer with four significant digits.

Explanation:

Assume the enterprise is sitting with zero velocity, while the Constitution is moving towards the enterprise at a speed of 713km/s

V = 713,000 m/s

Since the constitution is moving into the wave, then it will be compressed.

So, we want to find the original wavelength λ

So using relativity formula

λ' = λ(c+Vo)/(c + V)

Given that,

λ' = 712.2nm = 712.2 × 10^-9m

c = 3×10^8 m/s

Vo = 0

V = 713,000 m/s

Then,

λ' = λ(c+Vo)/(c + V)

712.2 ×10^-9 = λ (3×10^8+0) / (3×10^8+713,000)

712.2×10^-9=λ(3×10^8)/(3.00713×10^8)

712.2×10^-9=λ × 0.9976

λ = 712.2 × 10^-9 / 0.9976

λ = 713.9 × 10^-9

λ = 713.9 nm

Which is a bit longer as expected

talk back to him about the sport and show him your expertise or leave the room

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force