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The phase velocity of a wave having a phase constant of 4 units and a frequency of 2.5 x 109 radian/sec is (in 108 order)
  • a)
    3.25
  • b)
    3.75
  • c)
    6.25
  • d)
    6.75
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The phase velocity of a wave having a phase constant of 4 units and a ...
Answer: c
Explanation: The phase velocity and the phase constant are related by Vp = ω/βg. On substituting for ω = 2.5 x 109 and β = 4, we get the phase velocity as 6.25 units.
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Most Upvoted Answer
The phase velocity of a wave having a phase constant of 4 units and a ...
Given Data:
- Phase constant (φ) = 4 units
- Frequency (f) = 2.5 x 10^9 radian/sec

Formula:
Phase velocity (v) = ω/φ, where ω = 2πf

Calculations:
Given ω = 2πf = 2 x 3.14 x 2.5 x 10^9 = 15.7 x 10^9 radian/sec
Substitute the values in the formula:
v = (15.7 x 10^9) / 4 = 3.925 x 10^9 units/sec = 3.925 x 10^8 units/sec = 6.25 x 10^8 units/sec

Final Answer:
The phase velocity of the wave is 6.25 x 10^8 units/sec, which is option 'C'.
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The phase velocity of a wave having a phase constant of 4 units and a frequency of 2.5 x 109radian/sec is (in 108order)a)3.25b)3.75c)6.25d)6.75Correct answer is option 'C'. Can you explain this answer?
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