CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Pure Rolling

Two bodies wi...

Question

Two bodies with moments of inertia $I_{1}$ and $I_{2}$ ( $I_{1} > I_{2}$ ) have equal angular momenta. If their kinetic energies of rotation are $E_{1}$ and $E_{2}$ respectively, then

A

E_{1} = E_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

E_{1} < E_{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

E_{1} > E_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

E_{1} \geq E_{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $E_{1} < E_{2}$
Angular momentum, $L = I w$
Given: $L_{1} = L_{2} ⟹ I_{1} w_{1} = I_{2} w_{2}$
$\frac{w_{1}}{w_{2}} = \frac{I_{2}}{I_{1}}$
Rotational K.E, $E = \frac{1}{2} I w^{2}$
$\frac{E_{1}}{E_{2}} = (\frac{I_{2}}{I_{1}})^{2} \frac{I_{1}}{I_{2}} = \frac{I_{2}}{I_{1}} < 1$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Two bodies with moment of inertias

I_{1}

I_{2}

(I_{1} > I_{2})

have equal angular momenta. If K.E. of rotation are

E_{1}

E_{2}

Q. Two bodies with moment of inertia

I_{1}

I_{2}

I_{1} > I_{2}

) have equal angular momentum. If their respective

K E

of rotation are

E_{1}

E_{2}

Q. Two bodies rotating with the same angular momentum have M.I.

I_{1} a n d I_{2}

respectively such as

I_{1} > I_{2}

respectively, then

Q. If electron, proton and alpha particle have the same wavelength and kinetic energies , and , then the order of their kinetic energies

E_{1}, E_{2} a n d E_{3}

, then the order of their kinetic energies is given by :

E_{1}, E_{2}

E_{3}

respectively represent the kinetic energies of an electron, an

α

-particle and a proton each having same de-Broglie’s wavelength, then

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Rolling

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon