(D) The power of the light beam is $P = 10$ $W$. The energy emitted in time $t$ is $E = P \times t = 10t$.The momentum $p$ carried by the light beam i

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(D) The power of the light beam is $P = 10$ $W$. The energy emitted in time $t$ is $E = P \times t = 10t$.The momentum $p$ carried by the light beam is given by $p = E/c$,where $c = 3 \times 10^8$ m/s is the speed of light.According to the law of conservation of momentum,the momentum acquired by the astronaut must be equal to the momentum of the light beam: $M \times v = p$.Given $M = 80$ kg and $v = 1$ m/s,we have $80 \times 1 = \frac{10t}{3 \times 10^8}$.Solving for $t$: $t = \frac{80 \times 3 \times 10^8}{10} = 24 \times 10^8 = 2.4 \times 10^9$ s.

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

Medium

An astronaut floating freely in space decides to use his flashlight as a rocket. He shines a $10$ $W$ light beam in a fixed direction so that he acquires momentum in the opposite direction. If his mass is $80$ kg,how long must he shine the light to reach a velocity of $1$ $m/s$?

A
$9$ s
B
$2.4 \times 10^3$ s
C
$2.4 \times 10^6$ s
D
$2.4 \times 10^9$ s

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Chapter

Dual Nature of Radiation and matter

Subtopic

Radiation Force and Pressure

$A$ point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $24 \, W$. The radius of curvature of the hemisphere is $10 \, cm$ and the inner surface is completely reflecting. The force on the hemisphere due to the light falling on it is $.......... \times 10^{-8} \, N$.

DifficultJEE MAIN 2023

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Professor $C.V.$ Raman surprised his students by suspending a tiny light ball in a transparent vacuum chamber by shining a laser beam on it. Which property of $EM$ waves was he exhibiting? Give one more example of this property.

Easy

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What is the force exerted on a mirror of area $40 \, cm^2$ when an $EM$ wave of intensity $6 \, W/m^2$ is incident on it?

Medium

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Sunlight falls normally on a surface of area $36 \, cm^{2}$ and exerts an average force of $7.2 \times 10^{-9} \, N$ within a time period of $20 \, minutes$. Considering a case of complete absorption,the energy flux of incident light is:

MediumJEE MAIN 2022

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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:

DifficultAIPMT 1992

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An astronaut floating freely in space decides to use his flashlight as a rocket. He shines a $10$ $W$ light beam in a fixed direction so that he acquires momentum in the opposite direction. If his mass is $80$ kg,how long must he shine the light to reach a velocity of $1$ $m/s$?

Similar Questions

Professor $C.V.$ Raman surprised his students by suspending a tiny light ball in a transparent vacuum chamber by shining a laser beam on it. Which property of $EM$ waves was he exhibiting? Give one more example of this property.

What is the force exerted on a mirror of area $40 \, cm^2$ when an $EM$ wave of intensity $6 \, W/m^2$ is incident on it?

Sunlight falls normally on a surface of area $36 \, cm^{2}$ and exerts an average force of $7.2 \times 10^{-9} \, N$ within a time period of $20 \, minutes$. Considering a case of complete absorption,the energy flux of incident light is:

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:

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