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Choose the incorrect statement....

Choose the incorrect statement.

A

Dielectric constant of a material is a measure of degree of polarization when placed in external field

B

Dielectric constant of polar substances is more than non-polar substances

C

Metals have very low value of dielectric constant

D

Capacitance of a capacitor increases upon insertion of dielectric slab

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze each statement provided in the options and determine which one is incorrect. ### Step-by-Step Solution: 1. **Understanding Dielectric Constant**: - The dielectric constant (k) of a material is defined as the ratio of the electric field in a vacuum (E₀) to the electric field in the material (E). It is a measure of how much the material can polarize in response to an electric field, which reduces the overall electric field within the material. 2. **Analyzing Option 1**: - The first statement claims that the dielectric constant of a material is a measure of the degree of polarization when placed in an electric field. - This statement is **correct** because the dielectric constant indeed reflects how much a material can polarize under an electric field. 3. **Analyzing Option 2**: - The second statement states that the dielectric constant of a polar substance is more than that of a non-polar substance. - This statement is also **correct**. Polar substances have permanent dipoles that align with the electric field, resulting in a higher dielectric constant compared to non-polar substances. 4. **Analyzing Option 3**: - The third statement asserts that metals have a very low value of dielectric constant. - This statement is **incorrect**. Metals are considered to have a very high dielectric constant (theoretically infinite) because they can conduct electricity and effectively shield the electric field within them. Thus, the dielectric constant for metals is not low; it is very high. 5. **Analyzing Option 4**: - The fourth statement mentions that the capacitance of a capacitor increases upon the insertion of a dielectric. - This statement is **correct**. When a dielectric is inserted between the plates of a capacitor, it increases the capacitance due to the reduction in the electric field. ### Conclusion: The incorrect statement among the options is the third one, which claims that metals have a very low value of dielectric constant. ### Final Answer: **The incorrect statement is: "Metals have a very low value of dielectric constant."** ---

To solve the question, we need to analyze each statement provided in the options and determine which one is incorrect. ### Step-by-Step Solution: 1. **Understanding Dielectric Constant**: - The dielectric constant (k) of a material is defined as the ratio of the electric field in a vacuum (E₀) to the electric field in the material (E). It is a measure of how much the material can polarize in response to an electric field, which reduces the overall electric field within the material. 2. **Analyzing Option 1**: ...
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