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If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.
When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :
When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :
- a)0.693/b
- b)b
- c)1/b
- d)2/b
Correct answer is option 'D'. Can you explain this answer?
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If a simple pendulum has significant amplitude (up to a factor of 1/e ...
The equation of motion for the pendulum, suffering retardation
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If a simple pendulum has significant amplitude (up to a factor of 1/e ...
The period of a simple pendulum is the time it takes for the pendulum to complete one full oscillation, or one back-and-forth motion. The amplitude of a pendulum refers to the maximum displacement from the equilibrium position.
If a simple pendulum has a significant amplitude, up to a factor of 1/e (approximately 0.368) of the original, only in the period between t = 0s to t = T/4, where T is the period of the pendulum, it means that the pendulum swings back and forth with a decreasing amplitude.
At t = 0s, the pendulum is released from its maximum displacement (amplitude) and starts swinging. As time progresses, the amplitude of the pendulum decreases gradually. By t = T/4, the amplitude has decreased to approximately 1/e of the original amplitude.
After t = T/4, the pendulum continues to swing, but the amplitude will continue to decrease further. By t = T/2, the amplitude will have decreased to approximately 1/e^2 (approximately 0.135) of the original amplitude. The amplitude will continue to decrease until it eventually becomes negligible.
Therefore, the significant amplitude of the pendulum only occurs within the first quarter of the period, from t = 0s to t = T/4.
If a simple pendulum has a significant amplitude, up to a factor of 1/e (approximately 0.368) of the original, only in the period between t = 0s to t = T/4, where T is the period of the pendulum, it means that the pendulum swings back and forth with a decreasing amplitude.
At t = 0s, the pendulum is released from its maximum displacement (amplitude) and starts swinging. As time progresses, the amplitude of the pendulum decreases gradually. By t = T/4, the amplitude has decreased to approximately 1/e of the original amplitude.
After t = T/4, the pendulum continues to swing, but the amplitude will continue to decrease further. By t = T/2, the amplitude will have decreased to approximately 1/e^2 (approximately 0.135) of the original amplitude. The amplitude will continue to decrease until it eventually becomes negligible.
Therefore, the significant amplitude of the pendulum only occurs within the first quarter of the period, from t = 0s to t = T/4.
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If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect answer is option 'D'. Can you explain this answer?
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If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect 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 If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect 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 If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect answer is option 'D'. Can you explain this answer?.
If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect 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 If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect 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 If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between t = 0s to t = τ s, then τ may be called the average life of the pendulum.When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity with b as the constant of proportionality, the average life time of the pendulum is (assuming damping is small) in seconds :a)0.693/bb)bc)1/bd)2/bCorrect answer is option 'D'. Can you explain this answer?.
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