Answer:
1/3
Explanation:
Gay Lusaac's law states that "the pressure of a given mass of gas is directly proportional with the absolute temperature of the gas, provided that the volume is kept constant."
In formula, we say that
P/T = k
Where
P = pressure at different points
T = temperature at different points
k = constant of proportionality
From the stated formula, if we multiply the temperature by 3, we have
P/3T = k
P * 1/3T = k
And from this, we see the pressure will change by a value of 1/3
Answer : 
Explanation :
The word kinematics means the study of motion. Kinematic variables gives the description of the motion of the body.
Displacement, Velocity, acceleration and time are associated with the motion of particle.
Wavenumber is defined as the frequency of wave, which is measured in cycles per unit distance.
Wave number is also defines as:

where,
is wavelength

since, 
So, 
Where,
is angular frequency and
is velocity of wave.
Hence, the relationship between the angular wavenumber k and and kinamatic variable V is

Potential and kinetic energy
Answer:

Explanation:
Given:
sides of the cube, 
speed of the cube with respect to the observer, 
Since the relative velocity of the object is relativistic, so there will be a length contraction according to the observer:
where:
observed length of the side along the direction of velocity

is the observed length of the cube edge only in the direction of the velocity due to relativistic effect of length contraction.
So the observed volume will be:


