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A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?
- a)0.06 m
- b)0.03 m
- c)0.12 m
- d)0.09 m
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A uniform rope of length 12 m and mass 6 kg hangs vertically from a ri...
According to me the answer should be option (a) .
And as per the solution it's written that tension at top and bottom will be different, it should be same everywhere in the rope ..
ACCORDING TO ME
And as per the solution it's written that tension at top and bottom will be different, it should be same everywhere in the rope ..
ACCORDING TO ME
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Community Answer
A uniform rope of length 12 m and mass 6 kg hangs vertically from a ri...
Given data:
- Length of the rope = 12 m
- Mass of the rope = 6 kg
- Mass of the block = 2 kg
- Wavelength of the pulse at the lower end = 0.06 m
Calculating tension in the rope:
- The tension in the rope at the lower end can be calculated using the formula:
T = mg + F
where,
T = tension in the rope
m = mass of the rope
g = acceleration due to gravity (9.8 m/s²)
F = force due to the block = mass of the block * g = 2 kg * 9.8 m/s²
Propagation of pulse:
- The pulse will travel upwards through the rope with the same speed, as the rope is uniform.
- The speed of the pulse can be calculated using the formula:
v = √(T/μ)
where,
v = speed of the pulse
T = tension in the rope
μ = mass per unit length of the rope
Calculating the mass per unit length of the rope:
- The total mass of the rope is 6 kg and its length is 12 m, so the mass per unit length (μ) is 6/12 = 0.5 kg/m
Calculating the wavelength of the pulse at the top:
- As the pulse travels upwards with the same speed, the wavelength remains the same.
- Therefore, the wavelength of the pulse when it reaches the top of the rope is 0.06 m.
Therefore, the correct answer is option C) 0.12 m.
- Length of the rope = 12 m
- Mass of the rope = 6 kg
- Mass of the block = 2 kg
- Wavelength of the pulse at the lower end = 0.06 m
Calculating tension in the rope:
- The tension in the rope at the lower end can be calculated using the formula:
T = mg + F
where,
T = tension in the rope
m = mass of the rope
g = acceleration due to gravity (9.8 m/s²)
F = force due to the block = mass of the block * g = 2 kg * 9.8 m/s²
Propagation of pulse:
- The pulse will travel upwards through the rope with the same speed, as the rope is uniform.
- The speed of the pulse can be calculated using the formula:
v = √(T/μ)
where,
v = speed of the pulse
T = tension in the rope
μ = mass per unit length of the rope
Calculating the mass per unit length of the rope:
- The total mass of the rope is 6 kg and its length is 12 m, so the mass per unit length (μ) is 6/12 = 0.5 kg/m
Calculating the wavelength of the pulse at the top:
- As the pulse travels upwards with the same speed, the wavelength remains the same.
- Therefore, the wavelength of the pulse when it reaches the top of the rope is 0.06 m.
Therefore, the correct answer is option C) 0.12 m.
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A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer?
Question Description
A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. 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 A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer?.
A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. 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 A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer?.
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A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A uniform rope of length 12 m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse, when it reaches the top of the rope?a)0.06 mb)0.03 mc)0.12 md)0.09 mCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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