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Feliz [49]
3 years ago
14

Show by derivation that P=K÷(V_P)​

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

ω is the angular velocity given by ω=2πf

k is the angular wave number given by – k=2πλ

t is time

x be the position

Vp phase velocity

Vg be the group velocity

The phase velocity of a wave is given by the following equation:

vp=ωk…..(eqn 1)

Rewritting the above equation, we get:

ω=kvp…..(eqn 2)

Differentiating (eqn 2) w.r.t k we obtain,

dwdk=vp+kdvpdk…..(eqn 3)

As vg=dwdk, (eqn 3) reduces to:

vg=vp+kdvpdk

The above equation signifies the relationship between the phase velocity and the group velocity.

Hope you understood the relation between group velocity and phase velocity of a progressive wave.

Follow me please

Mark brainliest

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What is the center and radius of the circle? *<br> x² – 2x + 5+ y² = 8
wolverine [178]

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3 years ago
There are 16 girls and 20 boys in the school band. Express an equivalent ratio of boys to total number of students in the school
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2 years ago
Please help and give explanation
Firlakuza [10]

Answer:

100 mins

Step-by-step explanation:

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