Flash light equipped with a new set of batteries, produces bright white light. As the batteries wear out

Options

A. The light intensity gets reduced with no change in its colour
B. Light colour changes first to yellow and then red with no change in intensity
C. It stops working suddenly while giving white light
D. Colour changes to red and also intensity gets reduced

Answer

### Step-by-Step Solution:

1. **Understanding the Problem**:
- We have a flashlight that produces bright white light when equipped with new batteries. As the batteries wear out, we need to analyze what happens to the light produced.

2. **Effect of Battery Wear**:
- As the batteries wear out, the voltage supplied by the batteries decreases. This leads to a reduction in the current flowing through the flashlight.

3. **Decrease in Current**:
- The current (I) is directly related to the brightness of the light. When the current decreases, the amount of heat produced by the flashlight also decreases.

4. **Temperature Change**:
- With less heat being generated, the temperature of the light source in the flashlight decreases.

5. **Wien's Displacement Law**:
- According to Wien's Displacement Law, the wavelength (λ) corresponding to the peak emission of a black body is inversely proportional to its temperature (T). This can be expressed as:
\[ λ \propto \frac{1}{T} \]
- As the temperature decreases, the peak wavelength (λ) increases.

6. **Color Shift**:
- The increase in wavelength corresponds to a shift in color. The visible spectrum ranges from violet (short wavelength) to red (long wavelength). As the wavelength increases due to the decrease in temperature, the color of the emitted light shifts towards the red end of the spectrum.

7. **Conclusion**:
- Therefore, as the batteries wear out, the flashlight will produce light that shifts from bright white to red, and the intensity of the light will also decrease.

### Final Answer:
- The correct conclusion is that as the batteries wear out, the color of the light changes to red and the intensity decreases.

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