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Two square metallic plates of 1m side are kept 0.01m apart, like a parallel plate capacitor, in air in such a way that one of their edges is perendicular, to an oil surface in a tank filled with an isulating oil. The plates are connected to a battery of e.m.f. 500 volt. The plates are then lowered vertically into the oil at a speed of 0.001 m//s . Calculate the current drawn from the battery during the process. [di-electirc constant of oil = 11, in_(0) = 8.85 xx 10^(-12) C^(2)//N^(2)m^(2)]

A solution contains A^(+) and B^(+) in such a concentration that both deposit simultaneously. If current of 9.65 amp was passed through 100ml solution for 55 seconds then find the final concentration of A^(+) ion if initial concentration of B^(+) is 0.1M . [Fill your answer by multiplying it wity 10^(3)] . Given: {:(A^(+)+e^(-)rarrA,,E^(@) =- 0.5 "volt"),(B^(+)+e^(-)rarrB,,E^(@) =- 0.56 "volt"),((2.303RT)/(F) =0.06,,):}

The well know mineral flourite is chemically calcium fluoride. It is a well known fact that in one unit cell of this mineral, there are four Ca^(2+) ions and eight F^(-) ions and Ca^(2+) ions are arranged in f.c.c. lattice. The F^(-) ions fill all the tetrahedral holes in the face centred cubic lattice of Ca^(2+) ions. The edge length of the unit cell is 5.46xx10^(-8) cm. The density of the solid is 3.18"g cm"^(-3) . Use this information to calculate Avogadro's number (Molar mass of CaF_(2)=78.0"g mol"^(-1) )

If a current of 3.0 amperes flowing in the primary coil is reduced to zero in 0.001 second, then the induced e.m.f. in the secondary coil is 15000 "volts" . The mutual inductance between the two coils is