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Byju's Answer
Standard XII
Physics
Maxwell's Speed of Distribution Law
Select the in...
Question
Select the incorrect statement about Maxwell’s distribution.
A
Most of the molecules move with speed
V
m
p
s
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B
V
r
m
s
>
V
a
v
>
V
m
p
s
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C
The area under distribution curve gives the total number of molecules of the gas
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D
The distribution curve is symmetric about the most probable speed
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Solution
The correct option is
D
The distribution curve is symmetric about the most probable speed
v
r
m
s
=
√
3
k
T
m
V
a
m
=
√
8
k
T
π
m
V
m
p
s
=
√
2
k
T
m
From the graph we can say that the distribution curve is not symmetric about the most probable speed.
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4
Similar questions
Q.
The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine the speed of an individual molecule but it has become possible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution.
Consider the following graph about Maxwell's distribution of speeds at two different temperatures
T
1
and
T
2
.
The curve has which of the following characteristics?
(i) It has symmetrical distribution of molecules against molecular velocity.
(ii) The area under the curve gives the total number of molecules.
(iii) The maxima of the curve shifts towards right as the temperature is raised.
(iv) The area under the curve is independent of temperature.
Select the correct statements from the codes given below.
Q.
The curve shows Maxwell’s distribution of velocities with increase of temperature.
Statement 1: Most probable velocity increases
Statement 2: Fraction of molecules possessing most probable velocity decreases with increasing T
Q.
he curve shows Maxwell’s distribution of velocities with increase of temperature.
Statement 1: Most probable velocity increases
Statement 2: Fraction of molecules possessing most probable velocity decreases with increasing T
Q.
Assertion :The area under the Maxwell distribution molecular speed curve remains same irrespective of the temperature of the gas. Reason: The fraction of molecules with most probable speed increases with the increase of temperature.
Q.
The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine the speed of an individual molecule but it has become possible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution.
Consider the following graph about Maxwell's distribution of speeds at two different temperatures
T
1
and
T
2
.
Total area under the curve at
T
1
is
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