MDCAT Physics MCQs

Range is R = u²sin2θ/g for equal launch and landing heights.
Substitution gives the stated value.

The sequence is 1600, 800, 400, 200.
That is three halvings, so three half-lives.

Use E=mc².
E=1×10^-6×(3×10^8)² = 9×10^10 J.

The x-component is A cos θ.
10 cos 0° = 10 N.

The x-component is A cos θ.
10 cos 60° = 5 N.

Radioactive decay is a nuclear process.
Its probability is characterized by a decay constant and half-life.

After each half-life, the number of undecayed nuclei halves.
The process is statistical and exponential.

Fission can release neutrons that sustain a chain reaction.
It powers conventional nuclear reactors.

Fusion powers stars by converting a small amount of mass into energy.
It requires very high temperatures to overcome electric repulsion.

Photon energy is E=hf.
E=6.63×10^-34×5×10^14 = 3.315×10^-19 J.

Frequency is f=E/h.
F=4.0×10^-19 / 6.63×10^-34 ≈ 6.03×10^14 Hz.

Einstein's photoelectric equation gives Kmax=Ephoton-φ.
Kmax=5-2 = 3 eV.