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JEE Main Physics Class 11 System of Particles and Rotational Motion Part 1 Questions
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© examsnet.com
Question : 70
Total: 100
This question has Statement land Statement 2 . Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement 1:
When moment of inertia
I
of a body rotating about an axis with angular speed
ω
increases, its angular momentum
L
is unchanged but the kinetic energy
K
increases if there is no torque applied on it.
Statement 2:
L
=
I
ω
,
kinetic energy of rotation
=
1
2
I
ω
2
[Online May 12, 2012]
Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement
1
.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation of the Statement 1
Statement 1 is true, Statement 2 is false.
Validate
Solution:
As
L
=
I
ω
so
L
increases with increase in
omega
. Kinetic energy
(rotational)
depends on an angular velocity '
ω
' and moment of inertia of the body
I
.
i.e.,
K
.
E
.
(
rotational
)
=
1
2
I
ω
2
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