Physics Chapter on Magnetic Moment

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Questions and Answers

What is the magnetic moment of the needle if it performs 20 complete oscillations in 5 seconds in a uniform magnetic field of 0.049 T?

1.6 × 10^-5 Am^2

0.98 × 10^-6 Am^2

5.5 × 10^-6 Am^2

0.12 × 10^-5 Am^2 (correct)

In the context of oscillations, which of the following quantities is not directly related to the simple harmonic motion of a magnetic needle?

Magnetic field strength

Moment of inertia

Gravitational force (correct)

Frequency of oscillation

Considering a magnetic needle's oscillation, which scenario describes a pair of quantities that share the same dimensions as solid angle?

Strain and arc (correct)

Force and area

Stress and strain

Angular speed and moment of inertia

Which of the following best describes the relationship of a magnetic needle in a uniform magnetic field concerning angular speed?

Angular speed decreases as the moment of inertia increases. Signup and view all the answers

What is the significance of the disc placed over the surface of water in terms of forces acting on it?

It demonstrates buoyancy balancing gravitational force. Signup and view all the answers

What is the moment of inertia of a thin rod about an axis passing through its midpoint and perpendicular to the rod?

2400 g cm Signup and view all the answers

If the mass of the bob in a simple pendulum is tripled and its length is halved, how does this affect the time period of oscillation?

Decreases by a factor of 2 Signup and view all the answers

What is the relationship between the velocities v1 and v2 if the ratio v1 : v2 is given as 1 : 4?

v2 is quadruple v1 Signup and view all the answers

When the length of a pendulum is halved, what is the factor by which the time period changes, assuming mass is constant?

Decreases by √2 Signup and view all the answers

Given a length of 400 g for a rod, what is the estimated length of the rod if its moment of inertia is provided?

20.7 cm Signup and view all the answers

What is the relationship between the time period (T) of a simple pendulum and its length (L)?

T ∝ sqrt(L) Signup and view all the answers

If a bob is whirled in a horizontal plane, how does the tension in the string relate to the speed of the bob?

Tension increases with increasing speed Signup and view all the answers

If the time period of a simple pendulum is $2s$, what will be the new time period if its mass is increased threefold and length is halved?

√2 s Signup and view all the answers

In a simple harmonic motion, what does the de-Broglie wavelength represent?

The particle's momentum Signup and view all the answers

How does increasing the mass of a simple pendulum influence its oscillation period?

Has no effect Signup and view all the answers

What happens to the kinetic energy of a particle as its de-Broglie wavelength decreases?

Kinetic energy increases Signup and view all the answers

For a simple pendulum, if the length is reduced to half its original length, what is the effect on the time period?

Reduces to 1/√2 of original Signup and view all the answers

If the mass of the rod is 400 g, what is the length if the moment of inertia is given as 2400 g cm?

20.7 cm Signup and view all the answers

If the time period of a pendulum is T and it is subjected to a mass increase without a change in length, what is the new time period?

T Signup and view all the answers

What is the relationship between the periods of two simple harmonic oscillators if their masses are in the ratio of 1 : 4?

The period of the lighter mass is shorter Signup and view all the answers

For a pendulum, an increase in its length leads to what change in the oscillation frequency?

Decrease in frequency Signup and view all the answers

Study Notes

Magnetic Moment and Time Period of Pendulum

New magnet's magnetic moment options: M, 2M, M√3, M/50.
If a pendulum's bob mass is tripled and its length halved, the new oscillation period is x/2 times the original. Identify x from options: √2, 2√3, 4, √3.

Magnetic Field and Inertia

Magnetic field variations can yield a ratio v: v; options include 2:1, 4:1, 1:4, and 1:2.
The moment of inertia of a thin rod, given as 2400 g cm², relates to its length and mass; match rod properties with specific length options: 17.5 cm, 20.7 cm, 72.0 cm, 8.5 cm.

Analyzing Angular Motion

A bob whirled in a horizontal plane at ω rpm creates tension T in the string. True statements are reflected in the correlation between (A) and (R).

Oscillations in Magnetic Fields

In a 0.049 T uniform magnetic field, a magnetic needle oscillates 20 times in 5 seconds. This gives key metrics for the needle's moment of inertia, linked to a calculated magnetic moment of x × 10⁻⁵ Am².

Dimensional Analysis

Quantities sharing the same dimensions as solid angle include stresses and angles, strains and arcs, angular speed and stress, versus strains and angles.

Circular Disk Dynamics

A thin circular disc of radius 4.5 cm interacts with water surface tension, providing a study scenario for surface dynamics and properties.

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Description

Test your knowledge on the concepts of magnetic moments and their calculations with this quiz. Explore various scenarios and determine the magnetic moment of different magnets. Ideal for students studying physics.