
If a brass bar is placed on a vibrating magnet, then its time period
A. Decreases
B. Increases
C. Remains unchanged
D. First increases then decreases
Answer
163.5k+ views
Hint: The length of time it takes for something to complete one oscillation is known as its time period. Normally, we can calculate frequency from angular velocity, and once we have calculated frequency, the inverse of that frequency provides us the time period. If an object is moving harmonically, we first determine the restoring force and then calculate the time period from that.
Complete step by step solution:
A brass bar's time period lengthens if it is put on a vibrating magnet because its moment of inertia grows. The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis.
Alternatively, it can be explained in more straightforward terms as a quantity that determines the amount of torque required for a particular angular acceleration in a rotational axis. The moment of inertia is also known as the angular mass or rotational inertia. Moment of inertia definitions frequently allude to a certain rotational axis.
The square root of the ratio of the magnet's moment of inertia to the sum of its magnetic moment and background magnetic field determines the vibration magnetometer's time period. The magnetic fields for the configurations utilising magnets with various moments will not change.
Hence, the correct answer is option B.
Note: By balancing the moment (spinning acceleration) produced by the displacement and the moment due to the magnetic field, you may determine the oscillation's time period. This will create a harmonic oscillation and, as a result, a relationship for time.
Complete step by step solution:
A brass bar's time period lengthens if it is put on a vibrating magnet because its moment of inertia grows. The term "moment of inertia" refers to the quantity that describes how a body resists angular acceleration and is calculated by multiplying each particle's mass by its square of distance from the rotational axis.
Alternatively, it can be explained in more straightforward terms as a quantity that determines the amount of torque required for a particular angular acceleration in a rotational axis. The moment of inertia is also known as the angular mass or rotational inertia. Moment of inertia definitions frequently allude to a certain rotational axis.
The square root of the ratio of the magnet's moment of inertia to the sum of its magnetic moment and background magnetic field determines the vibration magnetometer's time period. The magnetic fields for the configurations utilising magnets with various moments will not change.
Hence, the correct answer is option B.
Note: By balancing the moment (spinning acceleration) produced by the displacement and the moment due to the magnetic field, you may determine the oscillation's time period. This will create a harmonic oscillation and, as a result, a relationship for time.
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

JEE Main 2025 Session 2: Exam Date, Admit Card, Syllabus, & More

JEE Atomic Structure and Chemical Bonding important Concepts and Tips

JEE Amino Acids and Peptides Important Concepts and Tips for Exam Preparation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

Trending doubts
Degree of Dissociation and Its Formula With Solved Example for JEE

Charging and Discharging of Capacitor

Instantaneous Velocity - Formula based Examples for JEE

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

In which of the following forms the energy is stored class 12 physics JEE_Main

JEE Main Chemistry Question Paper with Answer Keys and Solutions

Other Pages
Three mediums of refractive indices mu 1mu 0 and mu class 12 physics JEE_Main

Total MBBS Seats in India 2025: Government College Seat Matrix

NEET Total Marks 2025: Important Information and Key Updates

Neet Cut Off 2025 for MBBS in Tamilnadu: AIQ & State Quota Analysis

Karnataka NEET Cut off 2025 - Category Wise Cut Off Marks

NEET Marks vs Rank 2024|How to Calculate?
