A diatomic molecule is made of two masses m1 and m2 which are separated by a distance r. If we calculate its rotational energy by applying Bohr's rule of angular momentum quantization, its energy will be given by (n is an integer)
D.
Rotational kinetic energy of the two body system rotating about their centre of mass is
A cylindrical tube, open at both ends, has a fundamental frequency, f, in the air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now
m1r1:m2r2
m1 :m2
r1 :r2
r1 :r2
C.
r1 :r2
As their period of revolution is same, so its angular speed is also same. Centripetal acceleration is circular path,
a= ω2r
Thus,
Two identical charged spheres suspended from a common point by two massless strings of length l are initially a distance d(d < < l) apart because of their mutual repulsion. The charge begins to leak from both the spheres at a constant rate.As a result the charges approach each other with a velocity v. Then as a function of distance x between them
v ∝ x-1
v ∝ x1/2
v ∝ x
v ∝ x
D.
v ∝ x
A thin horizontal circular disc is rotating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc
remains unchanged
continuously decreases
continuously increases
continuously increases
D.
continuously increases
A hoop of radius r and mass m rotating with an angular velocity ω0
is placed on a rough horizontal surface.The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?
rω0/4
rω0/3
rω0/2
rω0/2
C.
rω0/2
From conservation of angular momentum about any fixed point on the surface