Question

The momentum transferred by the wave to the mirror each second will be
(A) $6.4\times {{10}^{-7}}\dfrac{kg}{\dfrac{m}{s}}$
(B) $4.8\times {{10}^{-8}}\dfrac{kg}{\dfrac{m}{s}}$
(C) $3.2\times 10\dfrac{kg}{\dfrac{m}{s}}$
(D) $1.6\times {{10}^{-10}}\dfrac{kg}{\dfrac{m}{s}}$

Answer 1

Hint: We know that the momentum is defined as the quantity of motion that an object has. When we talk about momentum, then there are two types of the kind. They are linear and angular. For an instance, a spinning object has angular momentum, on the other hand, an object travelling with a velocity has linear momentum. The momentum gives us an idea which is used to describe an increasing forward motion. Based on this concept we have to solve this question.

Complete step by step answer:
To answer this question, at first let us first write the values that are mentioned in the question:
The value of current is given us that: $I=\dfrac{6W}{{{m}^{2}}A}=40c{{m}^{2}}=40\times {{10}^{-4}}{{m}^{2}}$
Now we can say that:
Radiant moment per sec is given as: $p=\dfrac{2IA}{c}$
The expression that we get after we put the values is:
$p=\dfrac{2\times 6\times 40\times {{10}^{-4}}}{3\times {{10}^{8}}}=1.6\times {{10}^{-10}}\dfrac{kg}{\dfrac{m}{s}}$

Hence, the correct answer is Option D.

Note: One of the main examples of the use of the momentum is in the airbags in automobiles. The airbags are used in automobiles because they are able to minimize the effect of the force on an object involved in a collision. Air bags accomplish this by extending the time required to stop the momentum of the driver and passenger.
Momentum is very much important because it describes the relationship between speed, mass and the direction. The momentum describes the force needed to stop objects and to keep them in the motion. Momentum is not conserved if there is friction, gravity, or net force. By net force we mean the total amount of force.