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In a meter bridge, the null point is found at a distance of 40 cm from A. If a resistance of 12 Ω is connected in parallel with S, the null point occurs at 50.0 cm from. Determine the values of R and S.
Two charged particles, having equal charges of $2.0 \times 10^{-5}C$ each, are brought from infinity to within a separation of $10\ cm.$ Find the increase in the electric potential energy during the process.
An $AC$ voltage $V = V_m$ is applied across a:
  1. Series $RC$ circuit in which capacitive reactance is $‘a\ ’$ times the resistance in the circuit.
  2. Series $RL$ circuit in which inductive reactance is $‘b\ ’$ times the resistance in the circuit.
Find the value of power factor of the circuit in each case.
In the given circuit, with steady current, calculate the potential drop across the capacitor and the charge stored in it.
A charge Q is distributed uniformly over a metallic sphere of radius R. Obtain the expressions for the electric field (E) and electric potential (V) at a point 0 < x < R.
Show on a plot the variation of E and V with x for 0 < x < 2R.
What are isotopes? Explain with an example how the average mass can be obtained from the relative proportions of different isotopes of the same element.
When a system is taken through the process abc shown in figure. 80J of heat is absorbed by the system and 30J of work is done by it. If the system does 10J of work during the process adc, how much heat flows into it during the process?
The weight of an object is more at the poles than at the equator. Is it benificial to purchase goods at equator and sell them at the pole? Does it matter whether a spring balance is used or an equal-beam balance is used?
A point charge of $2.0\  \mu\ C$ is at the centre of a cubic Gaussian surface $9.0 \ cm$ on edge. What is the net electric flux through the surface?
By the Gauss's law, derive the expression of the electric field at any point due to a similar charged straight wire of infinite length. Draw necessary diagram.