Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Where will the hand of a clock stop if it starts at $2$ and makes $\dfrac{1}{2}$ of a revolution, clockwise?

Last updated date: 17th Sep 2024
Total views: 420.9k
Views today: 12.20k
Verified
420.9k+ views
Hint: We will use the property of the clock that the hand of a clock revolves at a complete angle of ${360^\circ}$which makes a complete clockwise revolution.

Complete step-by-step solution:
Step 1: To solve this problem, first we will make a clock as shown below:

In fig (1), the hand of the clock is at $2$. Now we know in complete clockwise revolution, the hand of the clock makes an angle of ${360^\circ}$. That means the hand of the clock will start from $2$ and after making revolution it will again end at $2$.
But as per the question, the hand of the clock revolves $\dfrac{1}{2}$ clockwise.
Step 2: If the hand of the clock making half revolution then the angle form by it will be half of the ${360^\circ}$ as shown below:
${\text{Angle}} = \dfrac{{{{360}^\circ}}}{2} \Rightarrow {180^\circ}$
Step 3: Now, by drawing an angle ${180^\circ}$, we can find out that the hand of the clock stops at which point as shown in the below diagram:

So, we can see from figure (2), that the hand of the clock makes an angle of ${180^\circ}$ with the point $8$.

The hand of the clock will stop at the point $8$.

Note: Students should remember that the hand of the clock always revolves in the clockwise direction by making a complete revolution with an angle of ${360^\circ}$.
We can also solve this question by the below method:
As we know that there are total $12$ symbols in the clock in which the hand of the clock revolves itself.
Now, for making a complete clockwise revolution the hand of the clock will cover all these points and will come back again at the point $2$.
But as per the question, it is only making half a revolution so if the hand of the clock is starting from a point $2$, then it will cover $6$ symbols in the clock which means $2 + 6 = 8$. So, the answer is $8$.