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Question
The time in a clock is 8:40:10. The time in the image of the clock formed by the plane mirror is
The time in a clock is 8:40:10. The time in the image of the clock formed by the plane mirror is
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Solution
The correct option is B 3:19:50
To find the time in the image of the clock, consider the vertical line passing through the numbers 6 and 12 as the axis about which the needles of the clock are to rotate. The hour hand is at 8 which is two places to the left of the axis. When we take the image, we’ll invert the hour hand to two places to the right of the axis. This means that the hour hand in the image will be at 4. Moving ahead, the minute hand in the clock shows 40 which means it is again at 8, the image of the minute hand will hence be at 4 which means that it’ll mean 20.But the hour hand will move a bit further away from 8 in the forty minutes that the minute hand takes, hence it will be between the 8th and the 9th marking on the clock. This means the image’s hour hand should be between 3 and 4, not exactly at 4.Similarly, the second-hand shows 10 which means it is at 2, two places to the right of the. When the image is taken, the second hand will be at 10 which means it’ll show us that it’s 50 seconds.In the ten seconds, the minute hand moves a bit ahead as well, so we need to consider that.Now, putting together our entire analysis, we can say that the time shown in the image of the clock will be 3:19:50 (since the hour hand in the image is a bit before 3 and the minute hand is a bit before 4)
To find the time in the image of the clock, consider the vertical line passing through the numbers 6 and 12 as the axis about which the needles of the clock are to rotate. The hour hand is at 8 which is two places to the left of the axis. When we take the image, we’ll invert the hour hand to two places to the right of the axis. This means that the hour hand in the image will be at 4. Moving ahead, the minute hand in the clock shows 40 which means it is again at 8, the image of the minute hand will hence be at 4 which means that it’ll mean 20.
But the hour hand will move a bit further away from 8 in the forty minutes that the minute hand takes, hence it will be between the 8th and the 9th marking on the clock. This means the image’s hour hand should be between 3 and 4, not exactly at 4.
Similarly, the second-hand shows 10 which means it is at 2, two places to the right of the. When the image is taken, the second hand will be at 10 which means it’ll show us that it’s 50 seconds.
In the ten seconds, the minute hand moves a bit ahead as well, so we need to consider that.
Now, putting together our entire analysis, we can say that the time shown in the image of the clock will be 3:19:50
(since the hour hand in the image is a bit before 3 and the minute hand is a bit before 4)
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