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At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant is
- a)Sinusoidal shape with amplitude A/3
- b)Sinusoidal shape with amplitude A/2
- c)Sinusoidal shape with amplitude A
- d)Straight line
Correct answer is option 'D'. Can you explain this answer?
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At a certain instant a stationary transverse wave is found to have max...
Explanation:
When a transverse wave is formed on a string, the energy is transferred from one point to another in the form of kinetic and potential energy. The kinetic energy of a particle in a string is maximum when the particle is at the amplitude of the wave. Therefore, when we say that a stationary wave has the maximum kinetic energy, we mean that the particles at the amplitude of the wave have maximum kinetic energy.
Now, let's consider the options given:
a) Sinusoidal shape with amplitude A/3 - This option is incorrect because a wave with an amplitude of A/3 cannot have particles with maximum kinetic energy.
b) Sinusoidal shape with amplitude A/2 - This option is also incorrect because a wave with an amplitude of A/2 cannot have particles with maximum kinetic energy.
c) Sinusoidal shape with amplitude A - This option is incorrect because a wave with an amplitude of A will have particles with maximum kinetic energy at the crest and trough of the wave, not at the amplitude.
d) Straight line - This option is correct because a stationary wave is formed by the superposition of two waves of equal amplitude and frequency traveling in opposite directions. When these waves superpose, they create points of maximum displacement (amplitude) and points of zero displacement (nodes). At the nodes, the particles do not move, and hence, they have zero kinetic energy. Therefore, the only option that satisfies the condition of maximum kinetic energy at the amplitude is a straight line, which represents the nodes of the stationary wave.
Conclusion:
Hence, the correct answer is option 'D' - Straight line.
When a transverse wave is formed on a string, the energy is transferred from one point to another in the form of kinetic and potential energy. The kinetic energy of a particle in a string is maximum when the particle is at the amplitude of the wave. Therefore, when we say that a stationary wave has the maximum kinetic energy, we mean that the particles at the amplitude of the wave have maximum kinetic energy.
Now, let's consider the options given:
a) Sinusoidal shape with amplitude A/3 - This option is incorrect because a wave with an amplitude of A/3 cannot have particles with maximum kinetic energy.
b) Sinusoidal shape with amplitude A/2 - This option is also incorrect because a wave with an amplitude of A/2 cannot have particles with maximum kinetic energy.
c) Sinusoidal shape with amplitude A - This option is incorrect because a wave with an amplitude of A will have particles with maximum kinetic energy at the crest and trough of the wave, not at the amplitude.
d) Straight line - This option is correct because a stationary wave is formed by the superposition of two waves of equal amplitude and frequency traveling in opposite directions. When these waves superpose, they create points of maximum displacement (amplitude) and points of zero displacement (nodes). At the nodes, the particles do not move, and hence, they have zero kinetic energy. Therefore, the only option that satisfies the condition of maximum kinetic energy at the amplitude is a straight line, which represents the nodes of the stationary wave.
Conclusion:
Hence, the correct answer is option 'D' - Straight line.
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At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer?
Question Description
At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer?.
At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of string at that instant isa)Sinusoidal shape with amplitude A/3b)Sinusoidal shape with amplitude A/2c)Sinusoidal shape with amplitude Ad)Straight lineCorrect answer is option 'D'. Can you explain this answer?.
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