A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T?, and, T (ii) back and forth in a direction perpendicular to its plane, with a period T?. The ratio T?/T? will be:
A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T?, and, T (ii) back and forth in a direction perpendicular to its plane, with a period T?. The ratio T?/T? will be:
Option 1 -
2/√3
Option 2 -
√2/3
Option 3 -
√2
Option 4 -
2/3
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:Moment of inertia in case (i) is I?
Moment of inertia in case (ii) is I?
I? = 2MR²
I? = (3/2)MR²
T? = 2π√ (I? /Mgd); T? = 2π√ (I? /Mgd)
T? /T? = √ (I? /I? ) = √ (2MR² / (3/2)MR²) = 2/√3
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