GS PrelimsScience and TechnologyGeneral Science2004

Assertion (A): In our houses, the current in AC electricity line changes direction 60 times per second. Reason (R): The frequency of alternating voltage supplied is 60 hertz.

A

Both A and R are individually true and R is the correct explanation of A

B

Both A and R are individually true but R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Correct Answer: Option D

Explanation

1. Assertion (A): In India, the standard frequency of the alternating voltage supplied to houses is 50 hertz (Hz), not 60 Hz. In an AC circuit, the current changes direction twice in each cycle (once going positive, once going negative). Therefore, for a 50 Hz frequency, the current changes direction 2 * 50 = 100 times per second. For a 60 Hz frequency (common in North America), it would change direction 2 * 60 = 120 times per second. Thus, the statement that it changes direction 60 times per second is false for both 50 Hz and 60 Hz systems. 2. Reason (R): The reason states the supplied frequency is 60 hertz. As mentioned, the standard frequency in India is 50 Hz. Thus, the Reason (R) is false (in the context of India). 3. Since both Assertion (A) and Reason (R) are false (considering the Indian context implicitly assumed), the correct option should reflect this. However, the provided answer key is 'A' (Both A and R are individually true and R is the correct explanation of A). This suggests the question assumes a 60 Hz system (like North America) and possibly misinterprets 'changes direction 60 times per second' to mean 60 cycles per second (i.e., 60 Hz frequency itself). *If forced to follow key 'A', the analysis must assume a 60 Hz context and interpret 'changes direction 60 times per second' as equivalent to 'has a frequency of 60 Hz', making A true by definition if R is true, and R is assumed true. This interpretation is technically incorrect regarding direction changes.*

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