A ring is hung on a nail. It can oscillate without slipping or sliding (i) in its plane with a period and (ii) back and forth in a direction perpendicular to its plane with a period
The ratio
will be :
Assume that the displacement of air is proportional to the pressure difference created by a sound wave. Displacement (s) further depend on the speed of sound
, density of air
, and frequency
. If
and
, then s will be of the order of (take the multiplicative constant to be
)
A block of mass m attached to a massless spring is performing oscillatory motion of amplitude on a frictionless horizontal plane. If half of the mass of the block breaks off when it is passing through its equilibrium point, the amplitude of oscillation for the remaining system become
. The value of
is :