Advertisements
Advertisements
प्रश्न
Find the moment of inertia of a hydrogen molecule about an axis passing through its centre of mass and perpendicular to the inter-atomic axis. Given: mass of hydrogen atom 1.7 × 10-27 kg and interatomic distance is equal to 4 × 10-10 m.
उत्तर
Given,
Inter-atomic distance : 4 x 10-10 m
Mass of H2 atom : 1.7 x 10-27 kg
Moment of inertia of H2 =
= 2M`(R/2)^2 = 1/2 MR^2`
= `1/2 xx 1.7 xx 10^-27 xx 16 xx 10^-20`
= `1.89 xx 10^-46` kg m2.
APPEARS IN
संबंधित प्रश्न
A closed cylindrical container is partially filled with water. As the container rotates in a horizontal plane about a perpendicular bisector, its moment of inertia, ______
From a disc of radius R a mass M, a circular hole of diameter R, whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis passing through it?
Mention any two physical significance of the moment of inertia.
What is the radius of gyration?
Derive the expression for the moment of inertia of a rod about its centre and perpendicular to the rod.
Derive the expression for the moment of inertia of a uniform ring about an axis passing through the centre and perpendicular to the plane.
Derive the expression for the moment of inertia of a uniform disc about an axis passing through the centre and perpendicular to the plane.
State and prove parallel axis theorem.
State and prove perpendicular axis theorem.
A uniform rod of mass m and length l makes a constant angle θ with an axis of rotation that passes through one end of the rod. Find the moment of inertia about this axis.
