(B) The energy of the light pulse is given by $E = P \times t$,where $P$ is the power and $t$ is the duration.Given $P = 30 \ mW = 30 \times 10^{-3} \

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$1.0 \times 10^{-17} \ kg \cdot m/s$

(B) The energy of the light pulse is given by $E = P \times t$,where $P$ is the power and $t$ is the duration.Given $P = 30 \ mW = 30 \times 10^{-3} \ W$ and $t = 100 \ ns = 100 \times 10^{-9} \ s$.$E = (30 \times 10^{-3}) \times (100 \times 10^{-9}) = 3000 \times 10^{-12} = 3 \times 10^{-9} \ J$.When light is completely absorbed,the momentum $p$ transferred to the object is given by $p = E/c$,where $c$ is the speed of light.$p = \frac{3 \times 10^{-9} \ J}{3 \times 10^8 \ m/s} = 1 \times 10^{-17} \ kg \cdot m/s$.

Class 12 Physics Dual Nature of Radiation and matter Radiation Force and Pressure

Difficult

$A$ pulse of light of duration $100 \ ns$ is absorbed completely by a small object initially at rest. The power of the pulse is $30 \ mW$ and the speed of light is $3 \times 10^8 \ m/s$. The final momentum of the object is:

IIT 2013 All IIT

A
$0.3 \times 10^{-17} \ kg \cdot m/s$
B
$1.0 \times 10^{-17} \ kg \cdot m/s$
C
$3.0 \times 10^{-17} \ kg \cdot m/s$
D
$9.0 \times 10^{-17} \ kg \cdot m/s$

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Dual Nature of Radiation and matter

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Radiation Force and Pressure

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$A$ small object at rest absorbs a light pulse of power $20\,mW$ and duration $300\,ns$. Assuming the speed of light as $3 \times 10^8\,m/s$,the momentum of the object becomes equal to $.........\times 10^{-17}\,kg\,m/s$.

MediumJEE MAIN 2023

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If radiation is totally absorbed and energy incident on surface in time $t$ be $U$,then write the equation for the momentum imparted to the surface.

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$A$ pulse of light of duration $100 \ ns$ is absorbed completely by a small object initially at rest. The power of the pulse is $30 \ mW$ and the speed of light is $3 \times 10^8 \ m/s$. The final momentum of the object is:

Similar Questions

If $P$ represents radiation pressure,$c$ represents the speed of light,and $Q$ represents radiation energy striking a unit area per second,then non-zero integers $x, y,$ and $z$ such that $P^x Q^y c^z$ is dimensionless are:

$A$ small object at rest absorbs a light pulse of power $20\,mW$ and duration $300\,ns$. Assuming the speed of light as $3 \times 10^8\,m/s$,the momentum of the object becomes equal to $.........\times 10^{-17}\,kg\,m/s$.

If radiation is totally absorbed and energy incident on surface in time $t$ be $U$,then write the equation for the momentum imparted to the surface.

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