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Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.
Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.
- a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
- b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
- c)Statement-1 is True, Statement-2 is False
- d)Statement-1 is False, Statement-2 is True
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Statement-1 : Two waves moving in a uniform string having uniform tens...
Two waves moving in uniform string with uniform tension shall have same speed and may be moving in opposite directions. Hence both waves may have velocities in opposite direction. Hence statement-1 is false.
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Statement-1 : Two waves moving in a uniform string having uniform tens...
Two waves moving in uniform string with uniform tension shall have same speed and may be moving in opposite directions. Hence both waves may have velocities in opposite direction. Hence statement-1 is false.
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Statement-1 : Two waves moving in a uniform string having uniform tens...
Understanding the Statements
Statement-1 claims that two waves in a uniform string with uniform tension cannot have different velocities. Statement-2 asserts that the elastic and inertial properties of the string are the same for all waves, and that the speed of a wave in a string depends solely on these properties.
Analysis of Statement-1
- In a uniform string with uniform tension, all waves will indeed travel at the same speed.
- The reason is that the tension and linear density determine the wave speed, which remains constant under uniform conditions.
Analysis of Statement-2
- The statement asserts that elastic and inertial properties are uniform for all waves in the same string. While this is true, it fails to note that different types of waves (like transverse and longitudinal) can exist.
- However, in a uniform tension string, the assumption of uniform properties leads to a consistent wave speed.
Conclusion
- Statement-1 is True: The velocities of waves in a uniform string with uniform tension are identical.
- Statement-2 is False: While the properties may be uniform, they do not account for variations in wave types or external factors that can affect wave travel in practice.
Final Assessment
- Therefore, the correct answer is option 'D': Statement-1 is True, Statement-2 is False. This conclusion highlights the importance of understanding wave mechanics in uniform media.
Statement-1 claims that two waves in a uniform string with uniform tension cannot have different velocities. Statement-2 asserts that the elastic and inertial properties of the string are the same for all waves, and that the speed of a wave in a string depends solely on these properties.
Analysis of Statement-1
- In a uniform string with uniform tension, all waves will indeed travel at the same speed.
- The reason is that the tension and linear density determine the wave speed, which remains constant under uniform conditions.
Analysis of Statement-2
- The statement asserts that elastic and inertial properties are uniform for all waves in the same string. While this is true, it fails to note that different types of waves (like transverse and longitudinal) can exist.
- However, in a uniform tension string, the assumption of uniform properties leads to a consistent wave speed.
Conclusion
- Statement-1 is True: The velocities of waves in a uniform string with uniform tension are identical.
- Statement-2 is False: While the properties may be uniform, they do not account for variations in wave types or external factors that can affect wave travel in practice.
Final Assessment
- Therefore, the correct answer is option 'D': Statement-1 is True, Statement-2 is False. This conclusion highlights the importance of understanding wave mechanics in uniform media.
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Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?
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Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect 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 Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect 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 Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?.
Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect 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 Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect 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 Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Statement-1 : Two waves moving in a uniform string having uniform tension cannot have different velocities.Statement-2 : Elastic and inertial properties of string are same for all waves in same string. Moreover speed of wave in a string depends on its elastic and inertial properties only.a)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. b)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1c)Statement-1 is True, Statement-2 is Falsed)Statement-1 is False, Statement-2 is TrueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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