<u>Answer
</u>
A. 1 and 2
<u>Explanation
</u>
At point 1 we have the highest potential energy and the kinetic energy is zero.
At 2 the potential energy is minimum and the kinetic energy is maximum.
The law of conservation of energy says that energy cannot be created nor destroyed. So, the change in P.E = Change in K.E.
P.E = height × gravity × mass. The height referred here is the perpendicular height. Gravity and mass are constant in this case.
From the diagram it can be seen clearly that the vertical height from 2 to 1 is much greater than from 4 to 3.
This shows that the change in P.E is greater between 1 and 2 and so is kinetic energy.
Answer:
The time constant is
Explanation:
From the question we are told that
The spring constant is
The mass of the ball is
The amplitude of the oscillation t the beginning is
The amplitude after time t is
The number of oscillation is
Generally the time taken to attain the second amplitude is mathematically represented as
Here T is the period of oscillation
=>
=>
Generally the amplitude at time t is mathematically represented as
Here a is the damping constant so
at ,
So
=>
taking natural log of both sides
=>
=>
Generally the time constant is mathematically represented as
=>
=>
Length of the pipe = 0.39 m
Number of harmonics = 3
Now there are 3 loops so here we can say
now here at the center of the pipe it will form Node
we need to find the distance of nearest antinode
So distance between node and its nearest antinode will be
So the distance will be 6.5 cm