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MMLU-Pro / 9337 / Assume that a honeybee is a sphere of diameter 1.000 cm with a charge…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Assume that a honeybee is a sphere of diameter 1.000 cm\mathrm{cm} with a charge of +45.0pC+45.0 \mathrm{pC} uniformly spread over its surface. Assume also that a spherical pollen grain of diameter 40.0μm40.0 \mu \mathrm{m} is electrically held on the surface of the bee because the bee's charge induces a charge of −1.00pC-1.00 \mathrm{pC} on the near side of the grain and a charge of +1.00pC+1.00 \mathrm{pC} on the far side. What is the magnitude of the net electrostatic force on the grain due to the bee?
Plain-text mathematical notation (without MathML)
Assume that a honeybee is a sphere of diameter 1.000 cm with a charge of +45.0pC uniformly spread over its surface. Assume also that a spherical pollen grain of diameter 40.0μm is electrically held on the surface of the bee because the bee's charge induces a charge of −1.00pC on the near side of the grain and a charge of +1.00pC on the far side. What is the magnitude of the net electrostatic force on the grain due to the bee?
Original LaTeX notation
Assume that a honeybee is a sphere of diameter 1.000 $\mathrm{cm}$ with a charge of $+45.0 \mathrm{pC}$ uniformly spread over its surface. Assume also that a spherical pollen grain of diameter $40.0 \mu \mathrm{m}$ is electrically held on the surface of the bee because the bee's charge induces a charge of $-1.00 \mathrm{pC}$ on the near side of the grain and a charge of $+1.00 \mathrm{pC}$ on the far side. What is the magnitude of the net electrostatic force on the grain due to the bee?

category

physics

options

  1. $5.2$$10^{-10} \mathrm{~N}$
  2. $7.2 \times 10^{-10} \mathrm{~N}$
  3. $4.5 \times 10^{-11} \mathrm{~N}$
  4. $6.5 \times 10^{-10} \mathrm{~N}$
  5. $8.1 \times 10^{-10} \mathrm{~N}$
  6. $3.9$$10^{-10} \mathrm{~N}$
  7. $9.8 \times 10^{-11} \mathrm{~N}$
  8. $2.6$$10^{-10} \mathrm{~N}$
  9. $1.3$$10^{-10} \mathrm{~N}$
  10. $1.1 \times 10^{-9} \mathrm{~N}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9337
task_id
866bfc3f-e50c-5252-a893-61b0bc10df7d
task_key
default--test--9337
task_revision_id
1
config / split
default / test

Official source

initial import