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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Electrostatics

Olympiad workbook · NSEP · Electrostatics

A charged oil (density 880 ~kg ~m^ -3 ) drop is held stationary...

A charged oil (density 880 kg m−3880 \mathrm{~kg} \mathrm{~m}^{-3} ) drop is held stationary between two parallel horizontal metal plates 6.0 mm apart when a potential difference of V=103\mathrm{V}=103 volt is applied between the two plates. When the electric field is switched off, the drop falls. At a certain time the drop is seen to fall a distance of 2.0 mm in 35.7 s and next 1.2 mm in 21.4 s . (The upper plate in the experiment is at higher potential). Given that the viscosity of air =1.80×10−5Nsm−2=1.80 \times 10^{-5} \mathrm{Nsm}^{-2} and density of air =1.29 kg m−3=1.29 \mathrm{~kg} \mathrm{~m}^{-3}

Options

  1. AThe radius of the drop is a=7.25×10−7 m\mathrm{a}=7.25 \times 10^{-7} \mathrm{~m}
  2. BThe charge on the drop is q=8.0×10−19C\mathrm{q}=8.0 \times 10^{-19} \mathrm{C}
  3. CThe terminal velocity of the oil drop, under its free fall, is 5.6×10−5 ms−15.6 \times 10^{-5} \mathrm{~ms}^{-1}
  4. DThe oil drop carries 5 excess electrons

Correct answer

D. The oil drop carries 5 excess electrons

Step-by-step solution

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