Mean Free Path and Mean Time between Two Successive Collisions
PHXI13:KINETIC THEORY

360305 If \({n}\) is the number density and \({d}\) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (\(i.\,e.\) mean free path) is represented by

1 \({\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}}\)
2 \({\dfrac{1}{\sqrt{2 n \pi d^{2}}}}\)
3 \({\dfrac{1}{\sqrt{2} n \pi d^{2}}}\)
4 \({\sqrt{2} n \pi d^{2}}\)
PHXI13:KINETIC THEORY

360306 The speed of a molecule of gas in a cubical vessel of side \(5 m\) is \(15 \,m{s^{ - 1}}\). This molecule is constantly colliding with the walls of a container. The collision frequency with a particular wall will be (Assume that molecule strikes the wall normally)

1 0.2 per second
2 1.5 per second
3 2.5 per second
4 5 per second
PHXI13:KINETIC THEORY

360307 If the mean free path of atoms is doubled keeping temperature constant then the pressure of gas will become

1 \(P / 4\)
2 \(P / 2\)
3 \(P / 8\)
4 \(P\)
PHXI13:KINETIC THEORY

360308 An ideal gas enclosed in a cylinder at pressure of \(1\,atm\) and temperature, \(300 K\). The mean time between two successive collisions is \(2 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(400 K\), the mean time between two successive collisions will be close to :

1 \(2 \times {10^{ - 7}} s\)
2 \(1.15 \times {10^{ - 8}} s\)
3 \(0.5 \times {10^{ - 8}} s\)
4 \(3 \times {10^{ - 6}}s\)
PHXI13:KINETIC THEORY

360309 The mean free path of molecules of a gas (radius ‘\(r\)’) is inversely proportional to

1 \({r^{3}}\)
2 \({r^{2}}\)
3 \({r}\)
4 \({\sqrt{r}}\)
PHXI13:KINETIC THEORY

360305 If \({n}\) is the number density and \({d}\) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (\(i.\,e.\) mean free path) is represented by

1 \({\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}}\)
2 \({\dfrac{1}{\sqrt{2 n \pi d^{2}}}}\)
3 \({\dfrac{1}{\sqrt{2} n \pi d^{2}}}\)
4 \({\sqrt{2} n \pi d^{2}}\)
PHXI13:KINETIC THEORY

360306 The speed of a molecule of gas in a cubical vessel of side \(5 m\) is \(15 \,m{s^{ - 1}}\). This molecule is constantly colliding with the walls of a container. The collision frequency with a particular wall will be (Assume that molecule strikes the wall normally)

1 0.2 per second
2 1.5 per second
3 2.5 per second
4 5 per second
PHXI13:KINETIC THEORY

360307 If the mean free path of atoms is doubled keeping temperature constant then the pressure of gas will become

1 \(P / 4\)
2 \(P / 2\)
3 \(P / 8\)
4 \(P\)
PHXI13:KINETIC THEORY

360308 An ideal gas enclosed in a cylinder at pressure of \(1\,atm\) and temperature, \(300 K\). The mean time between two successive collisions is \(2 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(400 K\), the mean time between two successive collisions will be close to :

1 \(2 \times {10^{ - 7}} s\)
2 \(1.15 \times {10^{ - 8}} s\)
3 \(0.5 \times {10^{ - 8}} s\)
4 \(3 \times {10^{ - 6}}s\)
PHXI13:KINETIC THEORY

360309 The mean free path of molecules of a gas (radius ‘\(r\)’) is inversely proportional to

1 \({r^{3}}\)
2 \({r^{2}}\)
3 \({r}\)
4 \({\sqrt{r}}\)
PHXI13:KINETIC THEORY

360305 If \({n}\) is the number density and \({d}\) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (\(i.\,e.\) mean free path) is represented by

1 \({\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}}\)
2 \({\dfrac{1}{\sqrt{2 n \pi d^{2}}}}\)
3 \({\dfrac{1}{\sqrt{2} n \pi d^{2}}}\)
4 \({\sqrt{2} n \pi d^{2}}\)
PHXI13:KINETIC THEORY

360306 The speed of a molecule of gas in a cubical vessel of side \(5 m\) is \(15 \,m{s^{ - 1}}\). This molecule is constantly colliding with the walls of a container. The collision frequency with a particular wall will be (Assume that molecule strikes the wall normally)

1 0.2 per second
2 1.5 per second
3 2.5 per second
4 5 per second
PHXI13:KINETIC THEORY

360307 If the mean free path of atoms is doubled keeping temperature constant then the pressure of gas will become

1 \(P / 4\)
2 \(P / 2\)
3 \(P / 8\)
4 \(P\)
PHXI13:KINETIC THEORY

360308 An ideal gas enclosed in a cylinder at pressure of \(1\,atm\) and temperature, \(300 K\). The mean time between two successive collisions is \(2 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(400 K\), the mean time between two successive collisions will be close to :

1 \(2 \times {10^{ - 7}} s\)
2 \(1.15 \times {10^{ - 8}} s\)
3 \(0.5 \times {10^{ - 8}} s\)
4 \(3 \times {10^{ - 6}}s\)
PHXI13:KINETIC THEORY

360309 The mean free path of molecules of a gas (radius ‘\(r\)’) is inversely proportional to

1 \({r^{3}}\)
2 \({r^{2}}\)
3 \({r}\)
4 \({\sqrt{r}}\)
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PHXI13:KINETIC THEORY

360305 If \({n}\) is the number density and \({d}\) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (\(i.\,e.\) mean free path) is represented by

1 \({\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}}\)
2 \({\dfrac{1}{\sqrt{2 n \pi d^{2}}}}\)
3 \({\dfrac{1}{\sqrt{2} n \pi d^{2}}}\)
4 \({\sqrt{2} n \pi d^{2}}\)
PHXI13:KINETIC THEORY

360306 The speed of a molecule of gas in a cubical vessel of side \(5 m\) is \(15 \,m{s^{ - 1}}\). This molecule is constantly colliding with the walls of a container. The collision frequency with a particular wall will be (Assume that molecule strikes the wall normally)

1 0.2 per second
2 1.5 per second
3 2.5 per second
4 5 per second
PHXI13:KINETIC THEORY

360307 If the mean free path of atoms is doubled keeping temperature constant then the pressure of gas will become

1 \(P / 4\)
2 \(P / 2\)
3 \(P / 8\)
4 \(P\)
PHXI13:KINETIC THEORY

360308 An ideal gas enclosed in a cylinder at pressure of \(1\,atm\) and temperature, \(300 K\). The mean time between two successive collisions is \(2 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(400 K\), the mean time between two successive collisions will be close to :

1 \(2 \times {10^{ - 7}} s\)
2 \(1.15 \times {10^{ - 8}} s\)
3 \(0.5 \times {10^{ - 8}} s\)
4 \(3 \times {10^{ - 6}}s\)
PHXI13:KINETIC THEORY

360309 The mean free path of molecules of a gas (radius ‘\(r\)’) is inversely proportional to

1 \({r^{3}}\)
2 \({r^{2}}\)
3 \({r}\)
4 \({\sqrt{r}}\)
PHXI13:KINETIC THEORY

360305 If \({n}\) is the number density and \({d}\) is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (\(i.\,e.\) mean free path) is represented by

1 \({\dfrac{1}{\sqrt{2} n^{2} \pi^{2} d^{2}}}\)
2 \({\dfrac{1}{\sqrt{2 n \pi d^{2}}}}\)
3 \({\dfrac{1}{\sqrt{2} n \pi d^{2}}}\)
4 \({\sqrt{2} n \pi d^{2}}\)
PHXI13:KINETIC THEORY

360306 The speed of a molecule of gas in a cubical vessel of side \(5 m\) is \(15 \,m{s^{ - 1}}\). This molecule is constantly colliding with the walls of a container. The collision frequency with a particular wall will be (Assume that molecule strikes the wall normally)

1 0.2 per second
2 1.5 per second
3 2.5 per second
4 5 per second
PHXI13:KINETIC THEORY

360307 If the mean free path of atoms is doubled keeping temperature constant then the pressure of gas will become

1 \(P / 4\)
2 \(P / 2\)
3 \(P / 8\)
4 \(P\)
PHXI13:KINETIC THEORY

360308 An ideal gas enclosed in a cylinder at pressure of \(1\,atm\) and temperature, \(300 K\). The mean time between two successive collisions is \(2 \times {10^{ - 8}} s\). If the pressure is doubled and temperature is increased to \(400 K\), the mean time between two successive collisions will be close to :

1 \(2 \times {10^{ - 7}} s\)
2 \(1.15 \times {10^{ - 8}} s\)
3 \(0.5 \times {10^{ - 8}} s\)
4 \(3 \times {10^{ - 6}}s\)
PHXI13:KINETIC THEORY

360309 The mean free path of molecules of a gas (radius ‘\(r\)’) is inversely proportional to

1 \({r^{3}}\)
2 \({r^{2}}\)
3 \({r}\)
4 \({\sqrt{r}}\)