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A: If a toroid uses bismuth for its core...

A: If a toroid uses bismuth for its core, then the field in the core will be slightly less than when the core is empty.
R: Bismuth is paramagnetic.

A

If both Assertion & Reason are the true and the reason is the correct explanation of the assertion, then mark (1)

B

If both Assertion & Reason are true but the reson is not the correct explanation of the assertion, then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements, then mark (4)

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that if a toroid uses bismuth for its core, then the magnetic field in the core will be slightly less than when the core is empty. - This implies that the presence of bismuth affects the magnetic field strength in the core. 2. **Understanding the Reason (R)**: - The reason states that bismuth is paramagnetic. - Paramagnetic materials have a tendency to become magnetized in the direction of an external magnetic field, which would typically increase the magnetic field strength in the core. 3. **Analyzing the Properties of Bismuth**: - Bismuth is actually a diamagnetic material, not paramagnetic. Diamagnetic materials are characterized by their ability to create an induced magnetic field in the opposite direction to an applied magnetic field. - This means that when bismuth is placed in a magnetic field, it will slightly weaken the magnetic field inside the core. 4. **Conclusion**: - Since bismuth is diamagnetic, the assertion (A) is correct: the magnetic field in the core will indeed be slightly less than when the core is empty. - However, the reason (R) is incorrect because it incorrectly classifies bismuth as paramagnetic instead of diamagnetic. 5. **Final Answer**: - The assertion (A) is true, but the reason (R) is false. Therefore, the correct answer is that A is true and R is false.
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