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Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio of
- a)4:5
- b)5:4
- c)144:225
- d)225:144
Correct answer is option 'C'. Can you explain this answer?
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Two similar bar magnets of the same mass and dimensions freely suspend...
Solution:
Let m1 and m2 be the magnetic moments of the two bar magnets.
Given, both the bar magnets have the same mass and dimensions.
When the two bar magnets are suspended in a horizontal plane, they experience a torque due to the earth's magnetic field.
Let θ be the angle of deflection of the bar magnets from their equilibrium position.
The restoring torque τ is given by τ = mBsinθ, where m is the magnetic moment of the bar magnet, B is the magnetic field strength, and θ is the angle of deflection.
The restoring torque is proportional to the magnetic moment of the bar magnet.
Since both the bar magnets have the same mass and dimensions, they will experience the same magnetic field strength and the same angle of deflection for a given torque.
Let the time period of oscillation of the first bar magnet be T1 and the time period of oscillation of the second bar magnet be T2.
We have T1/T2 = √(m2/m1)
Given, the first bar magnet makes 12 oscillations per minute and the second bar magnet makes 15 oscillations per minute.
Therefore, we have T1 = 60/12 = 5 seconds and T2 = 60/15 = 4 seconds.
Substituting these values, we get
5/4 = √(m2/m1)
Squaring both sides, we get
25/16 = m2/m1
Therefore, m2/m1 = 25/16.
Multiplying both sides by (144/25), we get
(144/25) x (m2/m1) = 144/25 x 25/16
m2/m1 = 144/225
Therefore, the magnetic moments of the two bar magnets are in the ratio of 144:225, which is option (c).
Let m1 and m2 be the magnetic moments of the two bar magnets.
Given, both the bar magnets have the same mass and dimensions.
When the two bar magnets are suspended in a horizontal plane, they experience a torque due to the earth's magnetic field.
Let θ be the angle of deflection of the bar magnets from their equilibrium position.
The restoring torque τ is given by τ = mBsinθ, where m is the magnetic moment of the bar magnet, B is the magnetic field strength, and θ is the angle of deflection.
The restoring torque is proportional to the magnetic moment of the bar magnet.
Since both the bar magnets have the same mass and dimensions, they will experience the same magnetic field strength and the same angle of deflection for a given torque.
Let the time period of oscillation of the first bar magnet be T1 and the time period of oscillation of the second bar magnet be T2.
We have T1/T2 = √(m2/m1)
Given, the first bar magnet makes 12 oscillations per minute and the second bar magnet makes 15 oscillations per minute.
Therefore, we have T1 = 60/12 = 5 seconds and T2 = 60/15 = 4 seconds.
Substituting these values, we get
5/4 = √(m2/m1)
Squaring both sides, we get
25/16 = m2/m1
Therefore, m2/m1 = 25/16.
Multiplying both sides by (144/25), we get
(144/25) x (m2/m1) = 144/25 x 25/16
m2/m1 = 144/225
Therefore, the magnetic moments of the two bar magnets are in the ratio of 144:225, which is option (c).
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Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer?
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Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct 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 Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct 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 Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer?.
Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct 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 Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct 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 Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer?.
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Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Two similar bar magnets of the same mass and dimensions freely suspended by threads in a horizontal plane are found to make 12 oscillations and 15 oscillations per minute. Then their magnetic moments are in the ratio ofa)4:5b)5:4c)144:225d)225:144Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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