Physics

Assertion (A): The speed of sound in a gas increases with an increase in humidity.

Reason (R): Density of a gas decreases with increase in humidity.

  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true and R is not the correct explanation of A.
  3. assertion is false but reason is true.
  4. assertion is true but reason is false.

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Answer

1. Both A and R are true and R is the correct explanation of A.

Explanation

Assertion (A) is true. When the humidity of a gas increases, the speed of sound increases because the density of humid air is less than the density of dry air. As the density of the medium decreases, the speed of sound in the medium increases. Hence, the speed of sound is faster in humid air than the dry air.

Reason (R) is true. The density of a gas does decrease with an increase in humidity.

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