`N` drops of mercury of equal radii and possessing equal charges combine to from a big drop. Compare the charge, capacitance and potential of bigger drop with the corresponding quantities of individual drops.
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A drop of mercury of radius 2 mm is split into 8 identical droplets. Find the increase in surface energy. Surface tension of mercury `=0.465Jm^-2`
Correct Answer - A Increase in surface energy `=4piR^(2)T(n^(1//3)-1)=4pi (2xx10^(-3))^(2) (0.465 )(8^(1//3)-1) = 23.4xx10^(-6) J = 23.4 muJ`
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A point charge `q_(0)` is placed at the centre of uniformly charges ring of total charge Q and radius R. If the point charge is slightly displaced wit
Only electric force is acting on `q_(0)` `:. W_(el)=DeltaK" "=1/2 mv^(2)-0" "implies" "`Now `W_(el)")"_(c rarr oo) =q_(0) V_(c) =q_(0) (KQ)/R`. `:. (Kq_(0)Q)/R=1/2 mv^(2)" "implies" "v=sqrt((2Kq_(0)Q)/(mR))`
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Three charges -q, +q and -q are placed along a st. line at equal distance , say a. Calculated the potential energy of this system of charges (i) when
Correct Answer - `(3p^(2))/(8piepsi_(0)a),(ii) -(q^(2))/(8piepsi_(0)a)`
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Two equal charges, +Q each, are at a distance r from each other. A third charge is placed on the line joining the above two charges such that all thes
Correct Answer - `q=Q//4`
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64 droplets of water of equal size unite from a large drop. If each dropet had equal and similar charge, how would the potential energy and capacitanc
Correct Answer - Potential will increase 16 times capacitance 4 times and energy 16 times
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Two equal drops of water with the same and similar charge coalesce to form a large single drop. Show how the surface density, capacity, potential and
Correct Answer - `sigma_(1): sigma_(2)= 2^(2//3):2`
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Eight charged drops of water, each of radius 1 m and having a charge of `10^(-10)` coulomb, combine to form a bigger drop. Determine the potential of
Correct Answer - 3600 V
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Two small metallic balls of radii `R_(1) & R_(2)` are kept in vacuum at a large distance compared to the radii. Find the ratio between the charges on
Correct Answer - `[(Q_(1))/(Q_(2)) = (R_(1))/(R_(2))]`
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Two capacitors of equal capacitance when connected in series hae net capacitance `C_(1)` and when connected in parallel have net capacitance `C_(2)` w
Correct Answer - `C_(1)//C_(2)=1//4`
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Water drops are falling from a tip at regular time intervals. When the fifth drop is near to fall from tap the first drop is at ground. If the top is
Correct Answer - (i)`(7)/(16)H` (ii)`(5)/(16)H` (iii)`sqrt((Gh)/(2))`
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