Question
Assertion (A): Connectivity index expresses the number of links in a network as a ratio of the maximum number of links possible.
Reason (R): Higher values of the index indicate low level of connectivity and vice versa.
The correct answer is
(A) is true; but (R) is false.
The given question involves an assertion and a reason regarding a concept of the connectivity index in a network. Let's analyze both the assertion and the reason to determine their correctness.
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Understanding the Assertion (A):
- The assertion states that "Connectivity index expresses the number of links in a network as a ratio of the maximum number of links possible."
- In graph theory, the connectivity index often refers to the ratio of actual links (edges) to the maximum possible links that can exist in the network. Thus, the assertion is indeed correct.
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Analyzing the Reason (R):
- The reason states, "Higher values of the index indicate a low level of connectivity and vice versa."
- The connectivity index is generally used to measure the degree to which the nodes in a network are connected. A higher connectivity index actually suggests that the network is more fully connected, as more of the possible links are present.
- Therefore, the reason given is incorrect because a higher index would not indicate a low level of connectivity; it indicates a higher level of connectivity.
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Conclusion:
- The assertion (A) is true as it correctly describes the connectivity index.
- The reason (R) is false because it incorrectly describes the relationship between the connectivity index value and the level of connectivity.
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Correct Option:
- The option "(A) is true; but (R) is false." is accurate based on our analysis of both the assertion and the reason.
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Important Questions from Assertion and Reasons (Notes)
- Given below are two arguments.
(I): A valid deductive argument that also has all true premises is called a sound argument
(II): A strong inductive argument that has all true premises is called a cogent argument
In the light of the above statements, choose the most appropriate answer from the options given below - Assertion(a): Rift valley represents a trough, depression or basin between two crustal parts.
Reason(r):Rift valley is a major relief feature resulting from faulting activities. - Assertion(A): The term suburban is used on a large scale and the residential areas lying within the rural-urban fringe are recognised as suburbans.
Reason(R): The people living in the urban clusters call themselves suburban dwellers. - Assertion and Reasoning Type
Assertion(A): After the II world war, lot of industries in Japan were developed in the coastal region.
Reasoning(R): The recovery of the industrialization after world war II in Japan was without a domestic raw material and export market in mind. - Assertion (a): Possibilism is a theory in Geography that argues human beings can overcome environmental constraints through ingenuity and technology.
Reason (r): Vidal - de - la - Blache is credited with developing the concept of Possibilism.
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