Electric Charges and Fields Test

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Electric Charges and Fields Test - 3

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Weekly Quiz Competition

Question 1
4 / -1

The number of electrons present in -1C of charge is

A
6 x 10¹⁸

B
1.6 x 10¹⁹

C
6 x 10¹⁹

D
1.6 x 10¹⁸

Solution

By quantisation of charge, q = ne
or
Question 2
4 / -1

A cup contains 250 g of water. Find the total positive charges present in the cup of water.

A
1.34 x 10¹⁹ C

B
1.34 x 10⁷C

C
2.43 x 10¹⁹ C

D
2.43 x 10⁷C

Solution

Mass of water = 250 g,
Molecular mass of water = 18 g
Number of molecules in 18 g of water = 6.02 x 10²³
Number of molecules in one cup of water = (250/18) x 6.02 x 10²³
Each molecule of water contains two hydrogen atoms and one oxygen atom, i.e., 10 electrons and 10 protons.
∴ Total positive charge present in one cup of water
= (250/18) x 6.02 x 10²³ x 10 x 1.6 x 10^-19C = 1.34 x 10⁷C.
Question 3
4 / -1

A polythene piece rubbed with wool is found to have a negative charge of 6 x 10^-7 C. The number of electrons transferred to polythene from wool is

A
3.75 x 10¹⁰

B
9.6 x 10¹⁰

C
9.6 x 10¹²

D
3.75 x 10¹²

Solution

Here, q = -6 x 10^-7 C
∴ Number of electrons transferred from wool to polythene, n =
Question 4
4 / -1

If 10⁹ electrons move out of a body to another body every second, then the time required to get charge of 1 C on the other body is

A
250 years

B
100 years

C
198 years

D
150 years

Solution

The charge given out in one second = 1.6 x 10^-19 C x 10⁹ = 1.6 x 10^-10C
Time required to accumulate a charge of 1 C
= 1/(1.6 x 10^-10) = 6.25 x 10⁹ s = 198 years
Question 5
4 / -1

The number of electrons that must be removed from an electrically neutral silver dollar to give it a charge of +2.4 C is

A
2.5 x 10¹⁹

B
1.5 x 10¹⁹

C
1.5 x 10^-19

D
2.5 x 10^-19

Solution

Total charge, q = 2.4 C
Then by quantization of charge, q = ne
∴ number of electrons, n = q/e = 2.4C/1.6 x 10^-19 C = 1.5 x 10¹⁹

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Electric Charges and Fields Test - 3

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Electric Charges and Fields Test - 3

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Question 1

6 x 1018

1.6 x 1019

6 x 1019

1.6 x 1018

Solution

Question 2

1.34 x 1019 C

1.34 x 107 C

2.43 x 1019 C

2.43 x 107 C

Solution

Question 3

3.75 x 1010

9.6 x 1010

9.6 x 1012

3.75 x 1012

Solution

Question 4

250 years

100 years

198 years

150 years

Solution

Question 5

2.5 x 1019

1.5 x 1019

1.5 x 10-19

2.5 x 10-19

Solution

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6 x 10¹⁸

1.6 x 10¹⁹

6 x 10¹⁹

1.6 x 10¹⁸

1.34 x 10¹⁹ C

1.34 x 10⁷C

2.43 x 10¹⁹ C

2.43 x 10⁷C

3.75 x 10¹⁰

9.6 x 10¹⁰

9.6 x 10¹²

3.75 x 10¹²

2.5 x 10¹⁹

1.5 x 10¹⁹

1.5 x 10^-19

2.5 x 10^-19