Current Electricity Test

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Current Electricity Test - 76

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Weekly Quiz Competition

Question 1
1 / -0

The amperage of the fuse wire used in a circuit that works on $$230 \ V$$ is $$2.2 \ A$$. If so. the power of the device is

A
less than $$300 \ W$$

B
$$300 \ W$$ to $$500 \ W$$

C
between $$500 \ W$$ and $$510 \ W$$

D
more than $$510 \ W$$

Solution

The amperage of the fuse wire used in a circuit that works on $$V = 230 \ V$$ is $$i = 2.2 \ A$$.

Power, $$P = Vi = 230 \times 2.2 = 506 \ W$$

Hence, the power of the device is between $$500 \ W$$ and $$510 \ W$$.

The correct option is C.
Question 2
1 / -0

Answer the question:
Two $$5.0\Omega$$ resistors are connected as shown in the diagram.
What is the total resistance of the combination ?

A
less than $$5.0\Omega$$

B
$$5.0\Omega$$

C
more than $$5.0\Omega$$ but less than $$10.0\Omega$$

D
$$10.0\Omega$$

Solution

As we can see that both resistance are connected in parallel.
For parallel combination:
$$R_{eq}=\dfrac{R_1R_2}{R_1+R_2}$$

$$R_{eq}=\dfrac{5\times 5}{5+5}=2.5\Omega$$

Hence option A is correct, equivalent resistance is less than 5 ohm
Question 3
1 / -0

If $$500\Omega$$ of resistance is made by adding five $$100\Omega$$ resistance of tolerance $$4\%$$, then the tolerance of the combination is .

A
$$5\%$$

B
$$4\%$$

C
$$20\%$$

D
$$10\%$$

Solution

Individual resisistors are having resistance:
$$R=100\pm 4$$
On combining 5 similar resistors we get:
$$5R=500\pm 20$$
So, tolerance of the combination is also $$4\%$$
Question 4
1 / -0

In the arrangement shown in figure when the switch $${S}_{2}$$is open, the galvanometer shows no deflection for $${l}= {L/2}$$. When the switch $${S}_{2}$$ is closed, the galvanometer shows no deflection for $${l}={5L/12}$$ . The internal resistance $$(r)$$ of $$6V$$ cell, and the emf $${E}$$ of the other battery are respectively:

A
$$3\Omega, 8V$$

B
$$2\Omega, 12V$$

C
$$2\Omega, 24V$$

D
$$3\Omega, 12V$$

Solution
Question 5
1 / -0

If the temperature is increase, what will be the effect on the resistance of a conductor?

A
Does not change

B
Decreases

C
Increases

D
Cannot say

Solution
Question 6
1 / -0

Two non ideal batteries are connected in parallel. Consider the following statements:
1. The equivalent emf is smaller than either of the two emfs.
2. The equivalent internal resistance is smaller than either of the two internal resistances.

A
both 1 and 2 are correct

B
1 is correct but 2 is wrong

C
2 is correct but 1 is wrong

D
Both 1 and 2 are wrong

Solution
Question 7
1 / -0

The potentiometer wire AB is 100 cm long. The value of R for which the galvanometer shown no deflection, when AC = 40cm shown in figure is

A
13$$\Omega$$

B
17$$\Omega$$

C
15$$\Omega$$

D
21$$\Omega$$

Solution

The condition of no deflection of galvanometer : $$\dfrac{10}{R}=\dfrac{AC}{BC}=\dfrac{40}{100-40}=\dfrac{2}{3} \Rightarrow R=15 \Omega$$
Question 8
1 / -0

The current in a metallic conductor is plotted against voltage at two
different temperatures $$T_{1}$$ and $$T_{2}$$. Which is correct

A
$$T_{1}$$ > $$T_{2}$$

B
$$T_{1}$$ < $$T_{2}$$

C
$$T_{1} = T_{2}$$

D
none

Solution
Question 9
1 / -0

The figure shows a 2.0 V potentiometer used for the determination of internal resistance of a 1.5 V cell. The balance point of the cell in open circuit is 76.3 cm. When a resistor of 9.5$$\Omega$$ is used in the external circuit of the cell, the balance point shifts to 64.8 cm length of the potentiometer. The internal resistance of the cell is

A
1.63$$\Omega$$

B
1.66$$\Omega$$

C
1.69$$\Omega$$

D
1.72$$\Omega$$

Solution

The expression of internal resistance of a cell in potentiometer is given by
$$r=R\left[\dfrac{l_1}{l_2}-1\right]$$

or $$r=9.5\left[\dfrac{76.3}{64.8}-1\right]=1.69 \Omega$$
Question 10
1 / -0

In the network shown, each resistance is equal to R. The equivalent
resistance between diagonally opposite corners is:

A
R

B
$$\frac{R}{3}$$

C
$$\frac{2R}{3}$$

D
$$\frac{4R}{3}$$

Solution