Physics Circular Motion and Gyration Quiz

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30 Questions

In which scenario will the magnetic dipole moments be effectively aligned parallel to the field?

When the temperature is very low

What condition leads to the magnetization reaching saturation?

High external field

What is the displacement of a particle located 50 cm from the origin in a simple harmonic wave after 0.1 second?

3.464 cm

What is the velocity of a particle located 50 cm from the origin after 0.1 second in a simple harmonic wave?

+100 cm/s

When an electron is accelerated through 86 V and enters a region of uniform magnetic induction, what can affect its maximum magnetic force?

Magnitude of the uniform magnetic induction

What does it mean when the magnetization reaches saturation?

It stops responding to changes in external field

What is the principle of a potentiometer?

The potential difference across a potentiometer wire is directly proportional to the length.

What happens when the positive terminals of two cells are connected to the high potential terminal of a potentiometer?

A potential gradient is set up along the potentiometer wire.

In the context of a potentiometer, what does the negative terminal of a cell connect to?

A galvanometer

How does the potentiometer help in comparing the emfs of two cells?

By setting up a potential gradient along its wire

What happens when the negative terminal of cells are connected through the galvanometer?

The galvanometer deflects indicating a difference in emfs.

Why is a pencil jockey used in a potentiometer setup with cells?

To make precise contact on the wire for measurements.

What is the difference in the tensions in the string of a bob in vertical circular motion at a horizontal position and the uppermost position?

3 mg

If the radius of gyration of a uniform disc about its central transverse axis is 2.5 units, what must be its radius of gyration about a tangent in its plane?

$2ef2.5$

Which of the following cases does the principle of conservation of angular momentum apply to?

For both a planet revolving in an elliptical orbit and a planet revolving in a circular orbit

In a conical pendulum of string length L, how is the angular speed related?

$1/efL$

For a rolling hollow sphere, what is the ratio of translational KE to rotational KE to total KE?

3 : 2 : 5

What is the maximum mass that a hydraulic lift is designed to lift?

2000 kg

What is the equation of a simple harmonic progressive wave on a string with an amplitude of 8 cm?

y = 8 sin (0.02x - 4t) cm

If an air column in a pipe closed at one end vibrates with three nodes formed in it, how many times is the frequency of its vibrations compared to the fundamental frequency?

4 times

In a resonance tube, if oil of higher density than water is used, what happens to the resonance frequency?

Increase

If the tension in a piano wire is increased by 25%, what happens to its frequency?

Increases by 12%

What happens when two sound waves of wavelengths 170 m and 222 m beat at 4 per second in air when arriving at a point simultaneously?

Destructive interference

What is the maximum kinetic energy (KEmax) when m = 1.4 kg and A = 6 cm?

$(3.36 \times 10^{-2})$ J

What is the equivalent resistance between points A and B in the given circuit?

2$ ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ }$R

If a quarter of the circumference of the loop has resistance X, what is the equivalent resistance between points P and Q?

7.5$ ext{ }$$ ext{ } ext{ }$$ ext{ } ext{ }$$ ext{ }$Ω

In the circuit where each half of the metal ring has resistance X, what is the total resistance of the metal ring?

$4X$

What is the magnetic field B at the center of curvature C of the semicircle conductor carrying a current I?

$μ_0 I / (2πR)$

If the resistance of each half of the metal ring is X, what is the resistance in the left gap of length 20 cm?

$X/2$

What are the roots of the equation 2R$^2 - 3R + 1 = 0$?

$R = 1, R = 0.5$

Test your understanding of circular motion and radius of gyration concepts in physics with this quiz. Questions cover topics like tension in a string, radius of gyration of a uniform disc, and planetary motion. Challenge yourself with multiple-choice questions to reinforce your knowledge.

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