Table of Contents
- 1 What time is it if the hand clock is forming a right angle?
- 2 At what time between 1 pm to 2pm is the first right angle formed by hands of the clock?
- 3 At what time between 1 and 2 will the hands of a clock coincide?
- 4 At what time between 1 and 2 o’clock are the two hands opposite?
- 5 How many times a day do the minute and hour hands of a clock overlap?
What time is it if the hand clock is forming a right angle?
If you switch to a rotating coordinate system in which the hour hand stands still, then the minute hand makes only 11 revolutions, and so it is at right angles with the hour hand 22 times. In a 24 hour day you get 2×22=44.
At what time between 1 pm to 2pm is the first right angle formed by hands of the clock?
Between 12 noon and 1 PM when the minute hand is somewhere between 15 and 20 at that time and when the minute hand is somewhere between 45 and 50 at that two instants we get right angles .
At what time between 1 o’clock and 2 o’clock the hands of the clock are opposite to each other?
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11). Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1’O clock. Therefore, Correct option is B.
At what time between 1 and 2 will the hands of a clock coincide?
We know that the minute and hour hand coincide every 65 minutes and not 60 minutes. Also, the hour and minute hand coincide only once between 11 and 1 o’clock i.e. at 12 o’clock. So, from both the above statements we can say that the two hands coincide exactly 11 times in a 12 hour span.
At what time between 1 and 2 o’clock are the two hands opposite?
We know that, Minute hand gains 55 minute spaces over hour hand in 1 hour. Therefore, Minute hand gain 40 minute spaces over hand in 35 x (60/55) = 38(2/11). Hence the hand of the clock will minutes be opposite to each at 38 (2/11) past 1’O clock.
At what time will the hands of the clock be perpendicular to each other?
At 3:00 the hour hand and the minute hand are perpendicular. The next time that will happen will be when the minute hand moves for 90 degrees before the hour had to 90 degrees after the hour.
How many times a day do the minute and hour hands of a clock overlap?
That means the hands overlap 22 times a day.