358869
Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times {10^{ - 4}}\;N.\) If \(360\;W/c{m^2}\) is the light energy flux during span of 1 hour 30 minutes, then the area of the surface is
1 \(20\,{m^2}\)
2 \(0.1\;\,{m^2}\)
3 \(0.02\,{m^2}\)
4 \(0.2\,{m^2}\)
Explanation:
Force on a non-reflecting surface at normal incidence is given by \(F=\dfrac{I A}{c}\) \(\therefore A = \frac{{Fc}}{I} = \frac{{2.4 \times {{10}^{ - 4}} \times 3 \times {{10}^8} \times {{10}^{ - 4}}}}{{360}}\) \( = 0.02\;{m^2}\)
JEE - 2024
PHXI15:WAVES
358870
The pressure exerted by an electromagnetic wave of intensity, \(I\left( {W{m^{ - 2}}} \right)\) on a non-reflecting surface is
1 \(I c\)
2 \(I c^{2}\)
3 \(I / c\)
4 \(I / c^{2}\)
Explanation:
When a surface intercepts electromagnetic radiation, a force and a pressure are exerted on the surface. As the surface is non-reflecting, so it is completely absorbed and in such case the force is, \(F=\dfrac{I A}{c}\) The radiation pressure is the force per unit area, \(p=\dfrac{F}{A}=\dfrac{I}{c}\) where, \(c=\) speed of light
AIIMS
PHXI15:WAVES
358871
A bank of overhead arc lamps can produce a light intensity of \(2500\,W{m^{ - 2}}\) in the \(25\,ft\) space stimulator facility at NASA. Find the average momentum density of a total absorbing surface.
\(\mathrm{I}=\dfrac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2} \mathrm{c}\) and energy density \( = \frac{I}{c}\), momentum density \( = \frac{I}{{{c^2}}} = \frac{{\Delta P}}{V}\)br>Where \(\Delta P\) - change in momentum of \(EM\) waves present in the volume \(V\). \( = \frac{{2500}}{{9 \times {{10}^{16}}}} = 2.78 \times {10^{ - 14}}\,kg{m^{ - 2}}\;{s^{ - 1}}\)
PHXI15:WAVES
358872
A plane electromagnetic wave travels in free space along \(x\)-axis. At a particular point in space, the electric field along \(y\)-axis is \(9.3\;V\;{m^{ - 1}}\). The magnetic induction (\(B\)) along \(z\)-axis is
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PHXI15:WAVES
358869
Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times {10^{ - 4}}\;N.\) If \(360\;W/c{m^2}\) is the light energy flux during span of 1 hour 30 minutes, then the area of the surface is
1 \(20\,{m^2}\)
2 \(0.1\;\,{m^2}\)
3 \(0.02\,{m^2}\)
4 \(0.2\,{m^2}\)
Explanation:
Force on a non-reflecting surface at normal incidence is given by \(F=\dfrac{I A}{c}\) \(\therefore A = \frac{{Fc}}{I} = \frac{{2.4 \times {{10}^{ - 4}} \times 3 \times {{10}^8} \times {{10}^{ - 4}}}}{{360}}\) \( = 0.02\;{m^2}\)
JEE - 2024
PHXI15:WAVES
358870
The pressure exerted by an electromagnetic wave of intensity, \(I\left( {W{m^{ - 2}}} \right)\) on a non-reflecting surface is
1 \(I c\)
2 \(I c^{2}\)
3 \(I / c\)
4 \(I / c^{2}\)
Explanation:
When a surface intercepts electromagnetic radiation, a force and a pressure are exerted on the surface. As the surface is non-reflecting, so it is completely absorbed and in such case the force is, \(F=\dfrac{I A}{c}\) The radiation pressure is the force per unit area, \(p=\dfrac{F}{A}=\dfrac{I}{c}\) where, \(c=\) speed of light
AIIMS
PHXI15:WAVES
358871
A bank of overhead arc lamps can produce a light intensity of \(2500\,W{m^{ - 2}}\) in the \(25\,ft\) space stimulator facility at NASA. Find the average momentum density of a total absorbing surface.
\(\mathrm{I}=\dfrac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2} \mathrm{c}\) and energy density \( = \frac{I}{c}\), momentum density \( = \frac{I}{{{c^2}}} = \frac{{\Delta P}}{V}\)br>Where \(\Delta P\) - change in momentum of \(EM\) waves present in the volume \(V\). \( = \frac{{2500}}{{9 \times {{10}^{16}}}} = 2.78 \times {10^{ - 14}}\,kg{m^{ - 2}}\;{s^{ - 1}}\)
PHXI15:WAVES
358872
A plane electromagnetic wave travels in free space along \(x\)-axis. At a particular point in space, the electric field along \(y\)-axis is \(9.3\;V\;{m^{ - 1}}\). The magnetic induction (\(B\)) along \(z\)-axis is
358869
Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times {10^{ - 4}}\;N.\) If \(360\;W/c{m^2}\) is the light energy flux during span of 1 hour 30 minutes, then the area of the surface is
1 \(20\,{m^2}\)
2 \(0.1\;\,{m^2}\)
3 \(0.02\,{m^2}\)
4 \(0.2\,{m^2}\)
Explanation:
Force on a non-reflecting surface at normal incidence is given by \(F=\dfrac{I A}{c}\) \(\therefore A = \frac{{Fc}}{I} = \frac{{2.4 \times {{10}^{ - 4}} \times 3 \times {{10}^8} \times {{10}^{ - 4}}}}{{360}}\) \( = 0.02\;{m^2}\)
JEE - 2024
PHXI15:WAVES
358870
The pressure exerted by an electromagnetic wave of intensity, \(I\left( {W{m^{ - 2}}} \right)\) on a non-reflecting surface is
1 \(I c\)
2 \(I c^{2}\)
3 \(I / c\)
4 \(I / c^{2}\)
Explanation:
When a surface intercepts electromagnetic radiation, a force and a pressure are exerted on the surface. As the surface is non-reflecting, so it is completely absorbed and in such case the force is, \(F=\dfrac{I A}{c}\) The radiation pressure is the force per unit area, \(p=\dfrac{F}{A}=\dfrac{I}{c}\) where, \(c=\) speed of light
AIIMS
PHXI15:WAVES
358871
A bank of overhead arc lamps can produce a light intensity of \(2500\,W{m^{ - 2}}\) in the \(25\,ft\) space stimulator facility at NASA. Find the average momentum density of a total absorbing surface.
\(\mathrm{I}=\dfrac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2} \mathrm{c}\) and energy density \( = \frac{I}{c}\), momentum density \( = \frac{I}{{{c^2}}} = \frac{{\Delta P}}{V}\)br>Where \(\Delta P\) - change in momentum of \(EM\) waves present in the volume \(V\). \( = \frac{{2500}}{{9 \times {{10}^{16}}}} = 2.78 \times {10^{ - 14}}\,kg{m^{ - 2}}\;{s^{ - 1}}\)
PHXI15:WAVES
358872
A plane electromagnetic wave travels in free space along \(x\)-axis. At a particular point in space, the electric field along \(y\)-axis is \(9.3\;V\;{m^{ - 1}}\). The magnetic induction (\(B\)) along \(z\)-axis is
358869
Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times {10^{ - 4}}\;N.\) If \(360\;W/c{m^2}\) is the light energy flux during span of 1 hour 30 minutes, then the area of the surface is
1 \(20\,{m^2}\)
2 \(0.1\;\,{m^2}\)
3 \(0.02\,{m^2}\)
4 \(0.2\,{m^2}\)
Explanation:
Force on a non-reflecting surface at normal incidence is given by \(F=\dfrac{I A}{c}\) \(\therefore A = \frac{{Fc}}{I} = \frac{{2.4 \times {{10}^{ - 4}} \times 3 \times {{10}^8} \times {{10}^{ - 4}}}}{{360}}\) \( = 0.02\;{m^2}\)
JEE - 2024
PHXI15:WAVES
358870
The pressure exerted by an electromagnetic wave of intensity, \(I\left( {W{m^{ - 2}}} \right)\) on a non-reflecting surface is
1 \(I c\)
2 \(I c^{2}\)
3 \(I / c\)
4 \(I / c^{2}\)
Explanation:
When a surface intercepts electromagnetic radiation, a force and a pressure are exerted on the surface. As the surface is non-reflecting, so it is completely absorbed and in such case the force is, \(F=\dfrac{I A}{c}\) The radiation pressure is the force per unit area, \(p=\dfrac{F}{A}=\dfrac{I}{c}\) where, \(c=\) speed of light
AIIMS
PHXI15:WAVES
358871
A bank of overhead arc lamps can produce a light intensity of \(2500\,W{m^{ - 2}}\) in the \(25\,ft\) space stimulator facility at NASA. Find the average momentum density of a total absorbing surface.
\(\mathrm{I}=\dfrac{1}{2} \varepsilon_{0} \mathrm{E}_{0}^{2} \mathrm{c}\) and energy density \( = \frac{I}{c}\), momentum density \( = \frac{I}{{{c^2}}} = \frac{{\Delta P}}{V}\)br>Where \(\Delta P\) - change in momentum of \(EM\) waves present in the volume \(V\). \( = \frac{{2500}}{{9 \times {{10}^{16}}}} = 2.78 \times {10^{ - 14}}\,kg{m^{ - 2}}\;{s^{ - 1}}\)
PHXI15:WAVES
358872
A plane electromagnetic wave travels in free space along \(x\)-axis. At a particular point in space, the electric field along \(y\)-axis is \(9.3\;V\;{m^{ - 1}}\). The magnetic induction (\(B\)) along \(z\)-axis is
