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Problem

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question

Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite $1.3 \mathrm{~m}$ in diameter accumulates 2.4μC2.4 \mu \mathrm{C} of charge in one orbital revolution. Find the resulting surface charge density.
Plain-text mathematical notation (without MathML)
Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite $1.3 \mathrm{~m}$ in diameter accumulates 2.4μC of charge in one orbital revolution. Find the resulting surface charge density. 
Original LaTeX notation
Space vehicles traveling through Earth's radiation belts can intercept a significant number of electrons. The resulting charge buildup can damage electronic components and disrupt operations. Suppose a spherical metal satellite $1.3 \mathrm{~m}$ in diameter accumulates $2.4 \mu \mathrm{C}$ of charge in one orbital revolution. Find the resulting surface charge density. 

category

physics

options

  1. $7.3 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
  2. $2.2 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
  3. $5.8$$10^{-7} \mathrm{C} / \mathrm{m}^2$
  4. $3.6 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
  5. $5.0 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$
  6. $6.2$$10^{-7} \mathrm{C} / \mathrm{m}^2$
  7. $4.5$$10^{-7} \mathrm{C} / \mathrm{m}^2 $
  8. $3.1$$10^{-7} \mathrm{C} / \mathrm{m}^2$
  9. $1.0 \times 10^{-6} \mathrm{C} / \mathrm{m}^2$
  10. $8.1 \times 10^{-7} \mathrm{C} / \mathrm{m}^2$

src

scibench-fund

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