1)
The wavelength of the matter wave (also called de Broglie wavelength) of an object is given by
where
is the Planck constant
m is the mass of the object
v is its velocity
For a proton, we have:
and the velocity of this proton is
So, its de Broglie's wavelength is:
2)
We can use again the same equation:
where in this case we have:
m = 159 kg is the mass of the astronaut + spacesuit
v = 377 m/s is the velocity of the astronaut
Substituting into the equation,
3)
Similarly, we can use the same equation:
where in this case we have: is the Earth's mass
is the velocity of the Earth around the Sun
Substituting,
Answer:
The inside Pressure of the tank is
Solution:
As per the question:
Volume of tank,
The capacity of tank,
Temperature, T' = = 299.8 K
Temperature, T = = 288.2 K
Now, from the eqn:
PV = nRT (1)
Volume of the gas in the container is constant.
V = V'
Similarly,
P'V' = n'RT' (2)
Also,
The amount of gas is double of the first case in the cylinder then:
n' = 2n
where
n and n' are the no. of moles
Now, from eqn (1) and (2):
Explanation:
Below is an attachment containing the solution.
