Question

The wavelength associated with a golf ball weighing $200g$ and moving at a speed of $5m{h^{ - 1}}$ is of the order:
(A) ${10^{ - 10}}m$
(B) ${10^{ - 20}}m$
(C) ${10^{ - 30}}m$
(D) ${10^{ - 40}}m$

Answer 1

Hint : To solve this question, we have to know about the momentum. We know that, Momentum is how we measure mass that is in motion. Any moving object will have momentum. Under the law of physics, the object’s momentum equals mass times velocity. We also know that, Momentum is the quantity of motion and is compounded by the quantity of the matter moved and the velocity with which it moves. Momentum is present when you walk, run, etc. If a bicycle and a car travel down the street at an equal velocity, the car will have the most momentum.
Since velocity is considered to be a vector, momentum is considered a vector as well. This means momentum has a significance of momentum and direction—the momentum direction indicated by a vector or an arrow.

Complete Step By Step Answer:
we can write according to the question,
Momentum is equal to $\dfrac{{200}}{{1000}} \times \dfrac{{5m/s}}{{3600}}$
$\lambda = \dfrac{{6.6 \times {{10}^{ - 34}}J - s}}{{\dfrac{1}{5} \times \dfrac{5}{{3600}}m/s}}$
$= 2.23760 \times {10^{ - 30}}$
So, the right option will be option number C.

Note :
We have to keep in our mind that an isolated system’s total momentum remains constant if any external force does not act on the system. Consequently, if the total linear momentum remains constant, the resultant force acting on the system is zero. Similarly, angular momentum is also conserved in the absence of external torque. We can say, Linear momentum is a vector quantity defined as the product of an object's mass, m, and its velocity, v. Linear momentum is denoted by the letter p and is called momentum for short. Note that a body's momentum is always in the same direction as its velocity vector.