GATE EE 2014 Set 2 — Question 17
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Question
The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch
is moved to position ‘2’. Assuming | |>||, the voltage across the capacitor is
is moved to position ‘2’. Assuming | |>||, the voltage across the capacitor is
Correct answer
(D) v_(c)(t)=(Vₒ₂-Vₒ₁)(1-e^(-(t)/(2RC)))+Vₒ₁
Solution
To determine which statement does not contradict the municipal authorities' conclusion, let us first analyze the core argument and the conclusion.
To not contradict (support or remain neutral/consistent with) the conclusion, a statement must align with the idea that the local mosquito population has indeed increased or that the control measures have failed.---
Analysis of the Argument
- Observation: The number of diagnosed dengue cases in north India has doubled compared to last year.
- Conclusion: Measures to control the mosquito population have failed in this region.
To not contradict (support or remain neutral/consistent with) the conclusion, a statement must align with the idea that the local mosquito population has indeed increased or that the control measures have failed.---
Evaluating the Options
- Option A: "A high proportion of the affected population has returned from neighbouring countries where dengue is prevalent"
- Impact: This suggests that the increase in cases is due to infections contracted abroad, not because of a failure in local mosquito control. This contradicts the authorities' conclusion.
- Option B: "More cases of dengue are now reported because of an increase in the Municipal Office’s administrative efficiency"
- Impact: This implies that the actual number of infections might not have doubled; rather, the reporting system has simply become better at documenting them. This provides an alternative administrative reason for the rise, contradicting the conclusion that mosquito control failed.
- Option C: "Many more cases of dengue are being diagnosed this year since the introduction of a new and effective diagnostic test"
- Impact: This suggests the rise in diagnosed cases is due to improved medical detection capabilities rather than an actual increase in transmission by local mosquitoes. This contradicts the authorities' conclusion.
- Option D: "The number of people with malarial fever (also contracted from mosquito bites) has increased this year"
- Impact: Malaria, like dengue, is a vector-borne disease transmitted by mosquito bites. An increase in malaria cases strongly indicates a general rise in the mosquito population or increased mosquito activity in the region. This directly supports and does not contradict the conclusion that measures to control the mosquito population have failed.
Conclusion
Only Option D is consistent with and does not contradict the municipal authorities' conclusion.Continue learning with Success Tracker
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