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A current of 1.6 A is passed through an electric lamp for half a minute if the charge on the electron is 1.6*10 to the power -19 c the number of electrons passing through it is A)1*10 to the power 19 B)1.5*10 to the power 20 C)3*10 to the power 19 D)3*10 to the power 20?
Most Upvoted Answer
A current of 1.6 A is passed through an electric lamp for half a minut...
Given information:
- Current = 1.6 A
- Time = 0.5 minutes
- Charge on an electron = 1.6 × 10^-19 C
To find:
The number of electrons passing through the lamp.
Solution:
Step 1: Convert time to seconds
Given time is in minutes, so we need to convert it to seconds.
1 minute = 60 seconds
Therefore, 0.5 minutes = 0.5 × 60 = 30 seconds.
Step 2: Calculate the total charge passed
We know that current is the rate of flow of charge. The formula to calculate the charge is:
Charge (Q) = Current (I) × Time (t)
Substituting the values:
Q = 1.6 A × 30 s = 48 C
Step 3: Calculate the number of electrons
The charge on an electron is given as 1.6 × 10^-19 C.
To find the number of electrons, we need to divide the total charge passed by the charge on a single electron.
Number of electrons = Total charge / Charge on an electron
Number of electrons = 48 C / (1.6 × 10^-19 C)
Number of electrons = 48 / 1.6 × 10^-19
Number of electrons = 3 × 10^19
Answer:
The number of electrons passing through the lamp is 3 × 10^19.
Therefore, the correct option is C) 3 × 10^19.
- Current = 1.6 A
- Time = 0.5 minutes
- Charge on an electron = 1.6 × 10^-19 C
To find:
The number of electrons passing through the lamp.
Solution:
Step 1: Convert time to seconds
Given time is in minutes, so we need to convert it to seconds.
1 minute = 60 seconds
Therefore, 0.5 minutes = 0.5 × 60 = 30 seconds.
Step 2: Calculate the total charge passed
We know that current is the rate of flow of charge. The formula to calculate the charge is:
Charge (Q) = Current (I) × Time (t)
Substituting the values:
Q = 1.6 A × 30 s = 48 C
Step 3: Calculate the number of electrons
The charge on an electron is given as 1.6 × 10^-19 C.
To find the number of electrons, we need to divide the total charge passed by the charge on a single electron.
Number of electrons = Total charge / Charge on an electron
Number of electrons = 48 C / (1.6 × 10^-19 C)
Number of electrons = 48 / 1.6 × 10^-19
Number of electrons = 3 × 10^19
Answer:
The number of electrons passing through the lamp is 3 × 10^19.
Therefore, the correct option is C) 3 × 10^19.
Community Answer
A current of 1.6 A is passed through an electric lamp for half a minut...
Ans-D 3 into 10^20
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A current of 1.6 A is passed through an electric lamp for half a minute if the charge on the electron is 1.6*10 to the power -19 c the number of electrons passing through it is A)1*10 to the power 19 B)1.5*10 to the power 20 C)3*10 to the power 19 D)3*10 to the power 20?
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