Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'
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Answer:
The source is at a distance of 4.56 m from the first point.
Solution:
As per the question:
Separation distance between the points, d = 11.0 m
Sound level at the first point, L = 66.40 dB
Sound level at the second point, L'= 55.74 dB
Now,
where
I = Intensity of sound
Now,
Similarly,
Now,
Solving the above quadratic eqn, we get:
R = 4.56 m
The electrostatic energy stored in a capacitor with capacitance 
, with a voltage difference V applied to it, and without dielectric, is given by
Now let's assume we fill the space between the two plates of the capacitor with a dielectric with constant k. The new capacitance of the capacitor is
So, the energy stored now is
Therefore, the ratio between the energies stored in the capacitor before and after the introduction of the dielectric is
Now let's assume we fill the space between the two plates of the capacitor with a dielectric with constant k. The new capacitance of the capacitor is
So, the energy stored now is
Therefore, the ratio between the energies stored in the capacitor before and after the introduction of the dielectric is