Equation Practice
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Question 1 of 5
1. Question
A wire carries a total charge of 180 C over a period of 60 seconds. If it is connected across a resistor with resistance R = 6.0 Ω what is the voltage of the circuit’s power source?
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Question 2 of 5
2. Question
A U-tube manometer is open to the atmosphere on one end (Patm = 1.01 × 10⁵ Pa). The fluid column on the open side rises to support the pressure difference. The fluid is water (ρ = 1,000 kg/m³, g = 10 m/s²). A gauge pressure of 2,500 Pa is applied on the closed end. What is the height difference of the fluid between the two sides of the manometer?
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Question 3 of 5
3. Question
An 80 kg athlete runs up a hill, gaining 5.0 m of vertical height in 4.0 seconds. What was their power as they ran up the hill?
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Question 4 of 5
4. Question
Photodynamic therapy (PDT) is a cancer treatment that uses a photosensitizing agent, light, and oxygen to selectively destroy tumor cells. The photosensitizer is administered systemically and preferentially accumulates in rapidly dividing tissue. When illuminated with light of a specific wavelength, the photosensitizer absorbs photon energy and transfers it to nearby molecular oxygen, generating cytotoxic singlet oxygen species. The efficacy of PDT depends critically on matching the excitation wavelength to the photosensitizer’s absorption peak. A commonly used agent, Photofrin, has its primary absorption peak at 630 nm. A newer agent under investigation absorbs most efficiently at 760 nm, which is advantageous because longer wavelengths penetrate tissue more deeply.A researcher compares the energy per photon delivered by each agent at its peak absorption wavelength. Based on the passage, what is the approximate difference in photon energy between the Photofrin excitation wavelength and the newer agent’s excitation wavelength?
(Note: h = 4.14 × 10⁻¹⁵ eV·s and c = 3.0 × 10⁸ m/s.)CorrectIncorrect -
Question 5 of 5
5. Question
Gel electrophoresis relies on a uniform electric field to drive charged molecules through a porous matrix at predictable rates. In a standard horizontal chamber, two platinum electrodes are submerged in buffer at opposite ends of a 24 cm gel tray. A power supply maintains a constant potential difference of 120 V across the full length of the tray. Researchers have found that field uniformity is critical: any local variation greater than 15% causes band distortion and unreliable size estimates. To improve resolution of small DNA fragments (< 500 bp), a technician proposes shortening the electrode separation to 8 cm while keeping the voltage at 120 V, arguing that will increase migration speed.
Based on the passage, what is the electric field strength in the standard chamber?
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