In an electrical circuit three incandescent bulbs `A,B and C` of rating `40 W, 60 W and 100 W` respectively are connected in parallel to an electric source. Which of the following is likely to happen regarding their brightness ?

Options

A. Brightness of all the bulbs will be the same
B. Brightness of bulb A will be the maximum
C. Brightness of bulb B will be more than that of A
D. Brightness of bulb C will be less than that of B

Explanation

To solve the problem regarding the brightness of the incandescent bulbs A, B, and C connected in parallel, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Power Ratings**:
- Bulb A has a power rating of 40 W.
- Bulb B has a power rating of 60 W.
- Bulb C has a power rating of 100 W.

2. **Recognize the Parallel Connection**:
- In a parallel circuit, all components share the same voltage. Therefore, the voltage across each bulb is the same.

3. **Relate Power to Current**:
- The power (P) consumed by each bulb can be expressed using the formula:
\[ P = V \times I \]
where \( V \) is the voltage across the bulb and \( I \) is the current through the bulb.

4. **Express Current in Terms of Power**:
- Rearranging the formula gives:
\[ I = \frac{P}{V} \]
- Since the voltage \( V \) is the same for all bulbs, the current through each bulb is directly proportional to its power rating.

5. **Determine the Current for Each Bulb**:
- For Bulb A:
\[ I_A = \frac{40}{V} \]
- For Bulb B:
\[ I_B = \frac{60}{V} \]
- For Bulb C:
\[ I_C = \frac{100}{V} \]

6. **Compare the Currents**:
- Since \( V \) is constant, we can compare the currents directly:
\[ I_A < I_B < I_C \]
- This means:
- Current through Bulb A is the least.
- Current through Bulb B is greater than A but less than C.
- Current through Bulb C is the greatest.

7. **Relate Current to Brightness**:
- The brightness of a bulb is proportional to the current flowing through it. Therefore:
\[ \text{Brightness of A} < \text{Brightness of B} < \text{Brightness of C} \]

8. **Conclusion**:
- The brightness of bulb B will be more than that of bulb A, and the brightness of bulb C will be more than that of bulb B. Thus, the order of brightness is:
\[ \text{Brightness of A} < \text{Brightness of B} < \text{Brightness of C} \]

### Final Answer:
- The correct option is that the brightness of bulb B will be more than that of bulb A.