Magnetic Field Path Integral on a Circle Quiz

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

$0$
$1$
$rac{3}{2}$
$3$ (correct)

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

$10.0$ m/s
$4.0$ m/s (correct)
$8.0$ m/s
$6.0$ m/s

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

$2 ext{ ms}^{-1}$
$3.0$ m/s
$4.0$ m/s (correct)
$2.0$ 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?

It doubles. (D) 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?

$0$ m/s (B) 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?

It will decrease. (C) Signup and view all the answers

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

6.25 m/s^2 (C) Signup and view all the answers

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

20 kg (A) Signup and view all the answers

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

30° (A) 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?

420 J (A) Signup and view all the answers

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

Monoatomic gas (B) Signup and view all the answers

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

105 Pa (C) Signup and view all the answers

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

142 kJ/mol (B) Signup and view all the answers

What is the magnitude of the lattice enthalpy of Fe3O4?

3155 kJ/mol (D) Signup and view all the answers

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

$\frac{2h\nu}{3}$ (D) Signup and view all the answers

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

Between $\frac{h\nu}{3}$ and $\frac{2h\nu}{3}$ (A) Signup and view all the answers

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

Between 0 and $\frac{2h\nu}{3}$ (C) Signup and view all the answers

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

$0$ (A) Signup and view all the answers

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

$p \cdot r$ (D) Signup and view all the answers

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

$E \cdot r$ (A) Signup and view all the answers

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

a⃗ × b⃗, b⃗ × c⃗, c⃗ × a⃗ (D) Signup and view all the answers

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

(0, π/2) (D) Signup and view all the answers

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

Volume of the tetrahedron (C) Signup and view all the answers

Which statement regarding f(θ) is true?

|f(θ)| ≥ 0 for all θ (D) Signup and view all the answers

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

y^2 + 2xy − x^2 = C (C) 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?

Tangentially touches it (A) Signup and view all the answers