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The phase velocity of a wave with frequency of 15 radian/sec and group phase constant of 2 units is
- a)30
- b)15
- c)7.5
- d)2/15
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The phase velocity of a wave with frequency of 15 radian/sec and group...
Answer: c
Explanation: The phase velocity of a wave is given by Vp = ω/βg. on substituting for ω = 15 and βg = 2, we get phase velocity as 15/2 = 7.5 units.
Explanation: The phase velocity of a wave is given by Vp = ω/βg. on substituting for ω = 15 and βg = 2, we get phase velocity as 15/2 = 7.5 units.
Most Upvoted Answer
The phase velocity of a wave with frequency of 15 radian/sec and group...
Calculation of Phase Velocity:
1. The phase velocity of a wave is given by the formula:
Phase velocity = ω/k
where ω is the angular frequency in radian/sec and k is the wave number.
Given Data:
2. Frequency (f) = 15 radian/sec
3. Group phase constant (β) = 2 units
Calculation of Wave Number:
4. The wave number can be calculated using the formula:
Wave number (k) = β
5. Substituting the given value of group phase constant:
k = 2 units
Calculation of Phase Velocity:
6. Using the formula for phase velocity:
Phase velocity = ω/k
Phase velocity = 15 radian/sec / 2 units
Phase velocity = 7.5 units/sec
Final Answer:
7. Therefore, the phase velocity of the wave with a frequency of 15 radian/sec and a group phase constant of 2 units is 7.5 units/sec. Hence, the correct answer is option 'C' - 7.5.
1. The phase velocity of a wave is given by the formula:
Phase velocity = ω/k
where ω is the angular frequency in radian/sec and k is the wave number.
Given Data:
2. Frequency (f) = 15 radian/sec
3. Group phase constant (β) = 2 units
Calculation of Wave Number:
4. The wave number can be calculated using the formula:
Wave number (k) = β
5. Substituting the given value of group phase constant:
k = 2 units
Calculation of Phase Velocity:
6. Using the formula for phase velocity:
Phase velocity = ω/k
Phase velocity = 15 radian/sec / 2 units
Phase velocity = 7.5 units/sec
Final Answer:
7. Therefore, the phase velocity of the wave with a frequency of 15 radian/sec and a group phase constant of 2 units is 7.5 units/sec. Hence, the correct answer is option 'C' - 7.5.
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The phase velocity of a wave with frequency of 15 radian/sec and group phase constant of 2 units isa)30b)15c)7.5d)2/15Correct answer is option 'C'. Can you explain this answer?
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