{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-03-21T10:55:55.688Z","dateModified":"2025-03-12T11:59:31.308Z","typicalAgeRange":"11-18","educationalLevel":"CUET (PG)","assesses":"Mathematics - Divergence theorem","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Divergence theorem"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"CUET (PG)"}],"name":"Quiz about Divergence theorem","about":{"@type":"Thing","name":"Mathematics - Divergence theorem"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Divergence theorem","text":"The mathematical statement regarding Divergence theorem which is true:","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\\(\\oint_S \\vec A.ds= \\int_V \\lgroup \\vec\\nabla \\times \\vec A\\rgroup dv\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\\(\\oint_S \\vec A.ds= \\int_V \\lgroup \\vec\\nabla . \\vec A\\rgroup dv\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\\(\\int_l \\vec A.ds= \\oint_V \\lgroup \\vec\\nabla \\times \\vec A\\rgroup .ds\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\\(\\oint_V A.ds= \\int_V \\lgroup \\vec\\nabla . \\vec A\\rgroup ds\\)

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\\(\\oint_S \\vec A.ds= \\int_V \\lgroup \\vec\\nabla . \\vec A\\rgroup dv\\)

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is (B): \\(\\oint_S \\vec A.ds= \\int_V \\lgroup \\vec\\nabla . \\vec A\\rgroup dv\\)"}}}]}

The mathematical statement regarding Divergence theorem which is true:

The Correct Option is B

Solution and Explanation

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