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Two simple harmonic motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum acceleration is
- a)1 : 103
- b)1 : 104
- c)1 : 10
- d)1 : 102
Correct answer is option 'A'. Can you explain this answer?
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Given Information:
Two simple harmonic motions with angular frequencies of 100 rad/s and 1000 rad/s have the same displacement amplitude.
Ratio of Maximum Acceleration:
Formula:
The maximum acceleration in simple harmonic motion is given by:
\(a_{max} = \omega^2 A\)
where:
\(a_{max}\) = Maximum acceleration
\(\omega\) = Angular frequency
\(A\) = Displacement amplitude
Calculations:
For the motion with an angular frequency of 100 rad/s:
\(a_{max1} = (100)^2 A = 10000A\)
For the motion with an angular frequency of 1000 rad/s:
\(a_{max2} = (1000)^2 A = 1000000A\)
Ratio of Maximum Acceleration:
\(\frac{a_{max2}}{a_{max1}} = \frac{1000000A}{10000A} = 100\)
Therefore, the ratio of the maximum accelerations of the two motions is 1:100, which corresponds to option 'A'.
Two simple harmonic motions with angular frequencies of 100 rad/s and 1000 rad/s have the same displacement amplitude.
Ratio of Maximum Acceleration:
Formula:
The maximum acceleration in simple harmonic motion is given by:
\(a_{max} = \omega^2 A\)
where:
\(a_{max}\) = Maximum acceleration
\(\omega\) = Angular frequency
\(A\) = Displacement amplitude
Calculations:
For the motion with an angular frequency of 100 rad/s:
\(a_{max1} = (100)^2 A = 10000A\)
For the motion with an angular frequency of 1000 rad/s:
\(a_{max2} = (1000)^2 A = 1000000A\)
Ratio of Maximum Acceleration:
\(\frac{a_{max2}}{a_{max1}} = \frac{1000000A}{10000A} = 100\)
Therefore, the ratio of the maximum accelerations of the two motions is 1:100, which corresponds to option 'A'.
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Two simple harmonic motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum acceleration isa)1 : 103b)1 : 104c)1 : 10d)1 : 102Correct answer is option 'A'. Can you explain this answer?
Question Description
Two simple harmonic motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum acceleration isa)1 : 103b)1 : 104c)1 : 10d)1 : 102Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two simple harmonic motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum acceleration isa)1 : 103b)1 : 104c)1 : 10d)1 : 102Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two simple harmonic motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum acceleration isa)1 : 103b)1 : 104c)1 : 10d)1 : 102Correct answer is option 'A'. Can you explain this answer?.
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