Question 1

A car accelerates from rest under a constant force. According to Newton's second law, which equation correctly describes the relationship between the net force $$F$$, mass $$m$$, and acceleration $$a$$?

Accepted Answer

$$F = m 	imes a$$

Question 2

A block of mass $$m$$ slides down a frictionless incline of height $$h. $$What is its speed $$v at $$the bottom, assuming it started from rest?

Accepted Answer

$$v = \sqrt{2gh}$$

Question 3

Which of the following best describes the law of conservation of momentum in a closed system?

Accepted Answer

The total momentum of a closed system remains constant if no external force acts on it.

Question 4

A uniform solid disk of mass $$M$$ and radius $$R$$ rotates about its central axis. What is its moment of inertia $$I$$?

Accepted Answer

$$I = \frac{1}{2}MR^2$

Question 5

A point charge $$q is $$placed at the center of a sphere of radius $$r. $$What is the electric field $$E at $$the surface of the sphere?

Accepted Answer

$$E = \frac{q}{4\pi \$$epsilon_0$$ r^2$}$$

Question 6

Which of the following statements about conductors in electrostatic equilibrium is correct?

Accepted Answer

The electric field inside a conductor is zero.

Question 7

A wire carries a steady current $$I. $$According to Ampère's law, what is the magnetic field $$B at a $$distance $$r$$ from the wire?

Accepted Answer

$$B = \frac{\mu_0$ I}{2\pi r}$$

Question 8

Which equation expresses Faraday's law of electromagnetic induction?

Accepted Answer

$$\mathcal{E} = -\frac{d\Phi_B}{dt}$$

Question 9

A simple harmonic oscillator has a period $$T$$ and frequency $$f. $$Which relationship is correct?

Accepted Answer

$$T = \frac{1}{f}$$

Question 10

A mechanical wave travels through a medium with speed $$v$$, frequency $$f$$, and wavelength $$\lambda. $$Which equation relates these quantities?

Accepted Answer

$$v = f \lambda$$

Question 11

Which of the following best describes the principle of superposition for waves?

Accepted Answer

The resultant displacement is the sum of the individual displacements.

Question 12

In the kinetic theory of gases, which equation relates the pressure $$P$$, volume $$V$$, number of molecules $$N$$, Boltzmann constant $$k$$, and temperature $$T$$?

Accepted Answer

$$PV = NkT$$

Question 13

Which equation represents the first law of thermodynamics?

Accepted Answer

$$\Delta U = Q - W$$

Question 14

According to special relativity, what is the equation for time dilation for an object moving at speed $$v$$ relative to an observer?

Accepted Answer

$$t' = \frac{t}{\sqrt{1 - v^2$/c^2$$}}$

Question 15

Which equation gives the energy of a photon in terms of its frequency $$f$$?

Accepted Answer

$$E = hf$$

Question 16

Which of the following is a correct statement about the Bohr model of the atom?

Accepted Answer

Electrons orbit the nucleus in quantized energy levels.

Question 17

Which equation describes the de Broglie wavelength $$\lambda of a $$particle with momentum $$p$$?

Accepted Answer

$$\lambda = \frac{h}{p}$$

Question 18

A parallel beam of light passes through two slits separated by distance $$d$$ and forms an interference pattern on a screen at distance $$L. $$What is the equation for the position $$y_m of $$the $$m-th $$bright fringe?

Accepted Answer

$$y_m = \frac{m \lambda L}{d}$$

Question 19

Which equation expresses the ideal gas law in terms of pressure $$P$$, volume $$V$$, number of moles $$n$$, and temperature $$T$$?

Accepted Answer

$$PV = nRT$$

Comprehensive Study Notes for College Physics: Classical and Modern Topics

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