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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): At the same temperature, the speed of sound in oxygen is one-fourth the speed of sound in hydrogen.
Reason(R): Molecular weight of oxygen is more than the molecular weight of hydrogen .
  • a)
    Both Assertion and Reason are true and Reason is the correct explanation of assertion.
  • b)
    Both Assertion and Reason are true and Reason is not the correct explanation of assertion.
  • c)
    Assertion is true but Reason is false.
  • d)
    Assertion is true but Reason is false.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the following question, a Statement of Assertion (A) is given follo...
Explanation:

Assertion: At the same temperature, the speed of sound in oxygen is one-fourth the speed of sound in hydrogen.

Reason: Molecular weight of oxygen is more than the molecular weight of hydrogen.

To understand the given assertion and reason, let's break it down into two parts:

Part 1: At the same temperature, the speed of sound in oxygen is one-fourth the speed of sound in hydrogen.
This statement is comparing the speed of sound in two different gases, oxygen and hydrogen, at the same temperature. According to the ideal gas law, the speed of sound in a gas is directly proportional to the square root of the temperature and inversely proportional to the square root of the molar mass of the gas.

Part 2: Molecular weight of oxygen is more than the molecular weight of hydrogen.
This statement is comparing the molecular weights of oxygen and hydrogen. The molecular weight of oxygen (O2) is 32 g/mol, while the molecular weight of hydrogen (H2) is 2 g/mol. Therefore, the molecular weight of oxygen is higher than that of hydrogen.

Explanation of the Assertion and Reason:

The speed of sound is directly proportional to the square root of the temperature and inversely proportional to the square root of the molar mass of the gas. In this case, both oxygen and hydrogen are at the same temperature.

Since the molecular weight of oxygen is higher than that of hydrogen, the square root of the molar mass of oxygen is greater than the square root of the molar mass of hydrogen.

As the speed of sound is inversely proportional to the square root of the molar mass, the speed of sound in hydrogen will be higher than the speed of sound in oxygen.

Therefore, the Reason given in the question does not correctly explain the Assertion. While the molecular weight of oxygen is indeed higher than that of hydrogen, it does not directly lead to the conclusion that the speed of sound in oxygen is one-fourth the speed of sound in hydrogen.

Conclusion:

Hence, the correct answer is option 'B' - Both Assertion and Reason are true, but Reason is not the correct explanation of the assertion.
Free Test
Community Answer
In the following question, a Statement of Assertion (A) is given follo...
B
because mass of oxygen is 16 times the mass of hydrogen
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-Assertion(A): At the same temperature, the speed of sound in oxygen is one-fourth the speed of sound in hydrogen.Reason(R): Molecular weight of oxygen is more than the molecular weight of hydrogen .a)Both Assertion and Reason are true and Reason is the correct explanation of assertion.b)Both Assertion and Reason are true and Reason is not the correct explanation of assertion.c)Assertion is true but Reason is false.d)Assertion is true but Reason is false.Correct answer is option 'B'. Can you explain this answer?
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