The rotational kinetic energy of two bodies of moment of inertia `9 kg m^(2)` and `1kg m^(2)` are same . The ratio of their angular momenta is

Question

The rotational kinetic energy of two bodies of moment of inertia `9 kg m^(2)` and `1kg m^(2)` are same . The ratio of their angular momenta is

The rotational kinetic energy of two bodies of moment of inertia `9 kg m^(2)` and `1kg m^(2)` are same . The ratio of their angular momenta is
A. `1:3`
B. `1:9`
C. `9:1`
D. `3:1`

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
`K.E._(1)=K.E._(2)`
`(1)/(2)L_(1)=(1)/(2)L_(2)`
`therefore ((L_(1))/(L_(2)))^(2)=(I_(1))/(I_(2))`
`(L_(1))/(L_(2))=sqrt((I_(1))/(I_(2)))=sqrt((9)/(1))=(3)/(1)`

7 views Answered 2023-02-05 15:29