The given statement"If the pressure of a gas sample is quadrupled and the absolute temperature is doubled" is false.
Answer: Option B
<u>Explanation:</u>
As we know the direct relationship between Pressure and Temperature by the Gay-Lussac’s Law,

From this, we get,


So, according to given statement, we have 
Then from the above expression, we can find out the value of
when pressure increased by 4 times of initial pressure as,

Hence, we get,

Hence, from the above expression we can say that as we increase the pressure four times, the temperature does not get doubled. So, the given statement in the question is false.
We can do this with the conservation of momentum. The fact it is elastic means no KE is lost so we don't have to worry about the loss due to sound energy etc.
Firstly, let's calculate the momentum of both objects using p=mv:
Object 1:
p = 0.75 x 8.5 = 6.375 kgm/s
Object 2 (we will make this one negative as it is travelling in the opposite direction):
p = 0.65 x -(7.2) = -4.68 kgm/s
Based on this we know that the momentum is going to be in the direction of object one, and will be 6.375-4.68=1.695 kgm/s
Substituting this into p=mv again:
1.695 = (0.75+0.65) x v
Note I assume here the objects stick together, it doesn't specify - it should!
1.695 = 1.4v
v=1.695/1.4 = 1.2 m/s to the right (to 2sf)
Answer:
k=694.44
Explanation:
PE=1/2kx^2
5=1/2k*.12^2
5=1/2k(.0144)
divide both sides by .0144
Answer:
Explanation:
Length of bar = L
mass of bar = M
mass of each ball = m
Moment of inertia of the bar about its centre perpendicular to its plane is

Moment of inertia of the two small balls about the centre of the bar perpendicular to its plane is


Total moment of inertia of the system about the centre of the bar perpendicular to its plane is
I = I1 + I2

