Two pendulum clocks on two clock towers begin to strike 10 together. T...
The first clock strikes (10 - 1) = 9 strokes in 45 seconds and the second strikes (10 - 1) = 9 storkes in 36 seconds
Time interval between any two strokes of the first clock is 5 seconds and that of the second clock is 4 seconds.
The 4th stroke of the first in after
5×35×3 = 15 seconds
The 5th strike of the second is after 4×4 = 16 seconds
∴ required time interval = 1 second
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Two pendulum clocks on two clock towers begin to strike 10 together. T...
Pendulum Clocks and Strokes:
- Pendulum clocks are timekeeping devices that use the swinging motion of a pendulum to measure time.
- The time it takes for a pendulum to swing back and forth is called its period.
- The period of a pendulum depends on its length, and longer pendulums have longer periods.
- As a pendulum swings, it completes one full cycle, which consists of two strokes (forward and backward).
- The time interval between strokes is equal to the period of the pendulum.
Given Information:
- Two pendulum clocks on two clock towers begin to strike 10 together.
- The first clock takes 45 seconds to complete one cycle (2 strokes).
- The second clock takes 36 seconds to complete one cycle (2 strokes).
Calculating Time Intervals:
- To find the time interval between the 4th stroke of the first clock and the 5th stroke of the second clock, we need to calculate the time it takes for each clock to complete the specified number of strokes.
- The first clock takes 45 seconds to complete 2 strokes, so it takes 45/2 = 22.5 seconds for each stroke.
- The second clock takes 36 seconds to complete 2 strokes, so it takes 36/2 = 18 seconds for each stroke.
Calculating the Time Interval:
- We need to calculate the time it takes for the first clock to complete 4 strokes and the time it takes for the second clock to complete 5 strokes.
- For the first clock, the time for 4 strokes is 4 * 22.5 = 90 seconds.
- For the second clock, the time for 5 strokes is 5 * 18 = 90 seconds.
- Therefore, the time interval between the 4th stroke of the first clock and the 5th stroke of the second clock is 90 - 90 = 0 seconds.
Conclusion:
- The time interval between the 4th stroke of the first clock and the 5th stroke of the second clock is 0 seconds.
- Therefore, the correct answer is option 'A' - 1 second.
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