{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-06-25T09:26:14.914Z","dateModified":"2024-06-25T09:26:14.914Z","typicalAgeRange":"11-18","educationalLevel":"JIPMER MBBS","assesses":"Physics - Waves and Oscillations","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Waves and Oscillations"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Physics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"JIPMER MBBS"}],"name":"Quiz about Waves and Oscillations","about":{"@type":"Thing","name":"Physics - Waves and Oscillations"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Waves and Oscillations","text":"A uniform rod of mass $$m$$ and length $$l_0$$ is pivoted at one end and is hanging in the vertical direction. The period of small angular oscillations of the rod is}","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\$T=3\\pi \\sqrt {\\frac {2l_0}{3g}}\$

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

\$T=4\\pi \\sqrt {\\frac {l_0}{3g}}\$

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

\$T=4\\pi \\sqrt {\\frac {2l_0}{3g}}\$

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

\$T=2\\pi \\sqrt {\\frac {2l_0}{3g}}\$

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

\$T=2\\pi \\sqrt {\\frac {2l_0}{3g}}\$

","comment":{"@type":"Comment","text":"\"\""},"answerExplanation":{"@type":"comment","text":"The correct option is (D): \$T=2\\pi \\sqrt {\\frac {2l_0}{3g}}\$ ."}}}]}

A uniform rod of mass \(m\) and length \(l_0\) is pivoted at one end and is hanging in the vertical direction. The period of small angular oscillations of the rod is

The Correct Option is D

Solution and Explanation

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