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Magnetic Field Path Integral on a Circle Quiz

Test your understanding of calculating the path integral of the magnetic field along the perimeter of a circle. Questions cover topics such as maximum values and the total magnetic field along circular paths.

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@SupportiveHaiku
1/26
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Questions and Answers

If the speed of the centre of the bobbin is $V$ m/s, what is the value of $V$?

$3$

What will be the speed of particle B when it reaches its minimum distance from particle A?

$4.0$ m/s

After a long time, what will be the speed acquired by the disc C placed on slide A?

$4.0$ m/s

If the dimensions of the house are doubled to $4$m, $10$m, and $6$m respectively, what happens to the minimum speed required to topple over the roof?

<p>It doubles.</p> Signup and view all the answers

What will be the speed of particle B if it is projected towards particle A with a velocity of $8.0$ m/s instead of $4.0$ m/s?

<p>$0$ m/s</p> Signup and view all the answers

If an external force is applied to slide B to introduce friction, how will that affect the final speed acquired by disc C?

<p>It will decrease.</p> Signup and view all the answers

What is the initial acceleration of the ball relative to the ground when the system is released?

<p>6.25 m/s^2</p> Signup and view all the answers

What is the total mass of the ball and block system?

<p>20 kg</p> Signup and view all the answers

What is the inclination angle of the frictionless slope that the block can slide on?

<p>30°</p> Signup and view all the answers

If the volume of the gas changes by 0.4 liters, how much heat (H) is supplied to the gas?

<p>420 J</p> Signup and view all the answers

What type of gas is confined in the cylinder according to the passage?

<p>Monoatomic gas</p> Signup and view all the answers

What is the pressure of the atmosphere initially in the cylinder before heat injection?

<p>105 Pa</p> Signup and view all the answers

What is the magnitude of the ionization energy of O2–?

<p>142 kJ/mol</p> Signup and view all the answers

What is the magnitude of the lattice enthalpy of Fe3O4?

<p>3155 kJ/mol</p> Signup and view all the answers

In a photoelectric experiment, what is the maximum kinetic energy of photoelectrons just after emission from the target?

<p>$\frac{2h\nu}{3}$</p> Signup and view all the answers

What is the range of possible kinetic energy values for photoelectrons just after emission from the target?

<p>Between $\frac{h\nu}{3}$ and $\frac{2h\nu}{3}$</p> Signup and view all the answers

Where does the kinetic energy of photoelectrons range when they are halfway between the target and the collector?

<p>Between 0 and $\frac{2h\nu}{3}$</p> Signup and view all the answers

What is the kinetic energy of photoelectrons as they reach the collector?

<p>$0$</p> Signup and view all the answers

According to Bohr's theory of the hydrogen atom, which quantity is proportional to the quantum number n?

<p>$p \cdot r$</p> Signup and view all the answers

For the hydrogen atom, what is constant for all orbitals according to Bohr's theory?

<p>$E \cdot r$</p> Signup and view all the answers

For the tetrahedron described in the text, which representation correctly describes the coterminal edges?

<p>a⃗ × b⃗, b⃗ × c⃗, c⃗ × a⃗</p> Signup and view all the answers

What is the domain of θ for the vectors a⃗, b⃗, and c⃗ in the given tetrahedron?

<p>(0, π/2)</p> Signup and view all the answers

What does f(θ) represent in the context of the tetrahedron described?

<p>Volume of the tetrahedron</p> Signup and view all the answers

Which statement regarding f(θ) is true?

<p>|f(θ)| ≥ 0 for all θ</p> Signup and view all the answers

In the differential equation provided, what is the solution in terms of x and y?

<p>y^2 + 2xy − x^2 = C</p> Signup and view all the answers

What does the circle with diameter PQ in the context of the parabola do with respect to the line x + 5 = 0?

<p>Tangentially touches it</p> Signup and view all the answers

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