Question

A charge of \(60\ \text{C}\) passes through an electric lamp in \(2\) minutes. Then the current in the lamp is

• A. \(30\ \text{A}\)
• B. \(1\ \text{A}\)
• C. \(0.5\ \text{A}\)
• D. \(5\ \text{A}\)

Hint:

Always convert minutes into seconds before using: \[ I=\frac{Q}{t} \]

Answer 1

The Correct Option is C

Concept:
Electric current is defined as the rate of flow of electric charge. The formula is: \[ I=\frac{Q}{t} \] where, \[ I = \text{current} \] \[ Q = \text{charge} \] \[ t = \text{time} \]

Step 1: Write the given values.
Charge passing through the lamp is: \[ Q=60\ \text{C} \] Time is: \[ t=2\ \text{minutes} \] Since current is measured in ampere, time must be in seconds. \[ 2\ \text{minutes}=2\times60=120\ \text{s} \]

Step 2: Apply the formula.
\[ I=\frac{Q}{t} \] \[ I=\frac{60}{120} \] \[ I=0.5\ \text{A} \]

Step 3: Check the options.
Option (A) \(30\ \text{A}\) is incorrect because time was not properly considered.
Option (B) \(1\ \text{A}\) is incorrect.
Option (C) \(0.5\ \text{A}\) is correct.
Option (D) \(5\ \text{A}\) is incorrect. Hence, the correct answer is: \[ \boxed{(C)\ 0.5\ \text{A}} \]