MCAT Proportionality

The resistance of a circuit remains constant. When the current flowing through the circuit increases, the voltage across the circuit:

A sealed tank is filled with saltwater (density 1,025 kg/m³). Sensor A is placed 4 m below the surface and Sensor B is placed 8 m below the surface. Ignoring atmospheric pressure, how does the pressure at Sensor B compare to the pressure at Sensor A?

If the wavelength of a light beam traveling in a vacuum is doubled, its frequency would be:

If the energy of a photon is doubled, which of the following properties of the photon will also double?

A particle moves at an initial speed of 4 m/s. Its speed is increased to 12 m/s while its mass remains constant. By what factor does the kinetic energy of the particle change?

Two point charges are held 3 cm apart, producing an electrostatic force F. The distance between them is increased to 6 cm. What is the new electrostatic force?

A circuit uses a 25 μF capacitor charged by a 3,000 V power supply. The 25 μF capacitor is replaced with a 30 μF capacitor. What new voltage setting would store the same charge Q on the new capacitor?

A cylindrical wire has an initial length of 2 m, a radius of 0.004 m, and a measured resistance of 8 Ω. The wire is replaced with one that has a length of 6 m and a radius of 0.002 m. What is the resistance of the new wire?

Blood flows at 30 cm/s through a vessel with a cross-sectional diameter of 1.5 cm. The vessel narrows to a diameter of 0.75 cm. What is the blood flow speed in the narrowed segment?

A circuit contains a battery providing 12 V and a single lightbulb with resistance 4 Ω. A student replaces the lightbulb with one that has a resistance of 0.2 Ω. What is the current through the new circuit?

An ideal gas is confined in a sealed container at pressure P₀, volume V₀, and absolute temperature T₀. The volume is compressed to (2/3)V₀ and the temperature is simultaneously raised to (3/2)T₀. Express the new pressure in terms of P₀.