Mixed Combination of Cells

Q. The magnetic moment developed due to revolution of electron in first orbit is $M_0$ then the magnetic moment when electron is in third orbit will be -

1. $4M_0$
2. $3M_0$
3. $2M_0$
4. $M_0$

Q.
Find current through $2\Omega$ resistance

1. 7.5A
2. 2.5A
3. 5A
4. 10A

Q. Eels are able to generate current with biological cells called electroplaques. The electroplaques in an eel are arranged in 100 rows, each row stretching horizontally along the body of the fish containing 5000 electroplaques. The arrangement is suggestively shown below. Each electroplaques has an emf of 0.15 V and internal resistance of 0.25$\Omega$. The water surrounding the eel completes a circuit between the head and its tail. If the water surrounding it has a resistance of 500 ohm, the current an eel can produce in water is about

1. 1.5 A
2. 3.0 A
3. 15 A
4. 30 A

Q. Four capacitors $C_1,C_2,C_3$ and $C_4$ of capacitance $3\mu \text{F},4\mu \text{F},6\mu \text{F}$ and $2\mu \text{F}$ are charged upto a potential difference of $2\text{V},3\text{V},4\text{V}$ and $4\text{V}$ respectively, if terminal $\text{a}$ is connected with $\text{f}$, terminal $\text{d}$ is connected with $\text{g}$, terminal $\text{e}$ is connected to $\text{h}$ and $\text{b}$ is connected $\text{c}$, then find the charge flows in the circuit?

1. $26\mu \text{C}$
2. $\frac{156}{16}\mu \text{C}$
3. $\frac{156}{15}\mu \text{C}$
4. $18\mu \text{C}$

Q. To get maximum current in a resistance of $3\Omega$ one can use n rows of m cells connected in parallel. If the total no. of cells is 24 and the internal resistance of a cell is$0.5\Omega$ then

1. m = 12, n = 2
2. m = 8, n = 4
3. m = 2, n = 12
4. m = 6, n = 4

Q. One end of a nichrome wire of length $2L$ and cross-sectional area $A$ is attached to an end of another nichrome wire of length $L$ and cross-sectional area $2A$. If the free end of the longer wire is at an electric potential of $8.0\text{Volts}$, and the free end of the shorter wire is at an electric potential of $1.0\text{Volts}$, the potential at the junction of the two wires is equal to

1. $3.2\text{V}$
2. $4.5\text{V}$
3. $2.4\text{V}$
4. $5.6\text{V}$

Q. 100 cells each of emf 5V and internal resistance $1\Omega$ are to be arranged so as to produce maximum current in a $25\Omega$ resistance. Each row contains equal number of cells. The number of rows should be

1. 2
2. 4
3. 5
4. 10

Q. The magnetic moment developed due to revolution of electron in first orbit is $M_0$ then the magnetic moment when electron is in third orbit will be -

1. $M_0$
2. $2M_0$
3. $3M_0$
4. $4M_0$

Q. A network consisting of three resistors, three batteries, and a capacitor is shown in the figure

$\begin{array}{ccc}& \text{Column I}& \text{Column II}\\ \left(A\right)& \text{Current in branch EB is}& \text{(P)}10\mu C\\ \left(B\right)& \text{Current in branch CB is}& \text{(Q)}0.5\mu C\\ \left(C\right)& \text{Current in branch ED is}& \text{(R)}1.5\mu C\\ \left(D\right)& \text{Charge on capacitor is}& \text{(S)}5\mu C\\ & & \text{(T)}7.5\mu C\end{array}$
Which of the following option has the correct combination considering column - I and Column - II.

1. $A\to S$
2. $B\to R$
3. $C\to Q$
4. $D\to T$

Q. One end of a nichrome wire of length $2L$ and cross-sectional area $A$ is attached to an end of another nichrome wire of length $L$ and cross-sectional area $2A$. If the free end of the longer wire is at an electric potential of $8.0\text{Volts}$, and the free end of the shorter wire is at an electric potential of $1.0\text{Volts}$, the potential at the junction of the two wires is equal to

1. $3.2\text{V}$
2. $2.4\text{V}$
3. $5.6\text{V}$
4. $4.5\text{V}$