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Q. No.The charge is distributed within a sphere of radius \({R} \) with a volume charge density; \({ \rho(r)= {\frac{A}{r^2}}e^{\left(\frac{-2r}{a}\right)}}, \) where \({A}\) and \(a \) are constants. If \({Q}\) is the total charge of this charge distribution, the radius \({R}\) is:
1. \(a ~\text{log}\left(1-\dfrac{Q}{2 \pi aA}\right) \)
2. \(\dfrac{a}{2} ~\text{log}\left(\dfrac{1}{1-\dfrac{Q}{2 \pi aA}}\right)\)
3. \(a~\text{log}\left(\dfrac{1}{1-\dfrac{Q}{2 \pi aA}}\right) \)
4. \(\dfrac{a}{2} ~\text{log}\left(1-\dfrac{1}{2 \pi aA}\right) \)
1. \(a ~\text{log}\left(1-\dfrac{Q}{2 \pi aA}\right) \)
2. \(\dfrac{a}{2} ~\text{log}\left(\dfrac{1}{1-\dfrac{Q}{2 \pi aA}}\right)\)
3. \(a~\text{log}\left(\dfrac{1}{1-\dfrac{Q}{2 \pi aA}}\right) \)
4. \(\dfrac{a}{2} ~\text{log}\left(1-\dfrac{1}{2 \pi aA}\right) \)
Subtopic: Â Electric Charge |
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A parallel plate capacitor with plates of area \(\mathrm{1 ~m^2 }\) each, are at a separation of \(\mathrm{0.1~ m.}\) If the electric field between the plates is \(\mathrm{100~ N/C,}\) the magnitude of charge on each plate is:
1. \(\mathrm{7.85\times 10^{-10}C}\)
2. \(\mathrm{6.85\times 10^{-10}C}\)
3. \(\mathrm{8.85\times 10^{-10}C}\)
4. \(\mathrm{9.85\times 10^{-10}C}\)
1. \(\mathrm{7.85\times 10^{-10}C}\)
2. \(\mathrm{6.85\times 10^{-10}C}\)
3. \(\mathrm{8.85\times 10^{-10}C}\)
4. \(\mathrm{9.85\times 10^{-10}C}\)
Subtopic: Â Electric Charge |
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On vehicles that carry inflammable fluids, you might notice metallic chains dangling down, touching the ground. Why are they actually used?
| 1. | Just a random custom. |
| 2. | To alert other vehicles. |
| 3. | To discharge static charges produced due to friction. |
| 4. | Just for fashion vibes. |
Subtopic: Â Electric Charge |
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Q. No.
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