
The time period vibration magnetometer will become infinity at which one of the places?
A. Equator
B. Magnetic poles
C. Magnetic equator
D. None of these
Answer
140.1k+ views
Hint:The ratio of the magnet's moment of inertia to the product of its magnetic moment and the ambient magnetic field is the square root of the time period of the vibration magnetometer. The magnetic fields for the configurations utilising magnets with various moments will not change to determine the ratio of time periods.
Formula used:
The time period of vibration magnetometer is,
Where moment of inertia about the axis of rotation
Magnetic moment of magnet
Earth’s magnetic field (horizontal component)
Complete step by step solution:
A vibration magnetometer is a device used to measure the horizontal component of the Earth's magnetic field or to compare the magnetic moments of two magnets. When a magnet hanging in a consistent magnetic field (such the one caused by the earth's magnetic field) is moved out of its equilibrium position and starts to vibrate merely harmonically about the direction of the field.
The torque and rotation in a uniform magnetic field is the basis for the operation of vibration magnetometers. The magnet will not oscillate and will stop when aligned with the field if the field is weak or not uniform. Therefore, a homogeneous, weak magnetic field is required for the vibration magnetometer to function.
The time period of vibration magnetometer is given by,
So, the time period vibration magnetometer will become infinity when the magnetic field value will become zero. The only place where the magnetic field becomes zero is at the poles. There is no horizontal geomagnetic field strength in the magnetic poles of the earth.
So, at poles
Hence the time period will be infinite at the poles.
Therefore, option B is the correct answer.
Note: We must remember that the quantity of magnetic field lines affects the magnetic field's intensity. The magnetic field is stronger in the poles because the lines are higher there. However, at that point, the horizontal component is zero.
Formula used:
The time period of vibration magnetometer is,
Where
Complete step by step solution:
A vibration magnetometer is a device used to measure the horizontal component of the Earth's magnetic field or to compare the magnetic moments of two magnets. When a magnet hanging in a consistent magnetic field (such the one caused by the earth's magnetic field) is moved out of its equilibrium position and starts to vibrate merely harmonically about the direction of the field.
The torque and rotation in a uniform magnetic field is the basis for the operation of vibration magnetometers. The magnet will not oscillate and will stop when aligned with the field if the field is weak or not uniform. Therefore, a homogeneous, weak magnetic field is required for the vibration magnetometer to function.
The time period of vibration magnetometer is given by,
So, the time period vibration magnetometer will become infinity when the magnetic field value will become zero. The only place where the magnetic field becomes zero is at the poles. There is no horizontal geomagnetic field strength in the magnetic poles of the earth.
So, at poles
Hence the time period will be infinite at the poles.
Therefore, option B is the correct answer.
Note: We must remember that the quantity of magnetic field lines affects the magnetic field's intensity. The magnetic field is stronger in the poles because the lines are higher there. However, at that point, the horizontal component is zero.
Recently Updated Pages
Young's Double Slit Experiment Step by Step Derivation

Difference Between Circuit Switching and Packet Switching

Difference Between Mass and Weight

JEE Main Participating Colleges 2024 - A Complete List of Top Colleges

JEE Main Maths Paper Pattern 2025 – Marking, Sections & Tips

Sign up for JEE Main 2025 Live Classes - Vedantu

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

A point charge + 20mu C is at a distance 6cm directly class 12 physics JEE_Main

JEE Main Exam Marking Scheme: Detailed Breakdown of Marks and Negative Marking

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Degree of Dissociation and Its Formula With Solved Example for JEE

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Dual Nature of Radiation and Matter Class 12 Notes: CBSE Physics Chapter 11

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main
