Question

A clock fixed on a wall shows time $04:25:37$ . What time will its image in a plane mirror show?
A. $07:43:32$
B. $07:43:32$
C. $07:35:23$
D. $43:27:36$

Answer 1

Hint: To find the reflected image of the time through the plane mirror, we want to assume the image . Since the clock is identical, the left side will be reflected as right and vice versa. Hence the time can be figured out.

Complete step-by-step solution:
The image of an object as seen in a mirror is the mirror image. The object having bilateral symmetry will have its mirror image similar to the object. In the case of a clock it has bilateral symmetry but the time will be different from the actual time.
In actual time the hour hand points at $4$ . The minute hand shows $25$ , that it points at $5$ . The second hand shows $37$ , that is between $35$ and $40$ . Therefore it points between $7$ and $8$ .
Now let’s think about the reflected image. The hour hand will be reflected and pointed at $7$ . The minutes hand will be reflected and pointed at $7$ because $5$and $7$ are the adjacent numbers of $6$. This implies $35$ minutes. The seconds hand will reflect and point between $4$ and $5$ . That is between $20$ and $25$ . We can take the value as $23$ .
Thus the time the image in the plane mirror shows $07:35:23$.
The answer is option C.

Note:-
Alternative method: One of the easier ways to find the mirror image of time is to subtract the given time from $11:60:60$ . Thus subtracting each separately , $11 - 04 = 07$, $60 - 25 = 35$ , $60 - 37 = 23$
Hence the mirror image of time is $07:35:23$.