Question

Suppose the length of a clock’s pendulum is changed by (1.000%), exactly at noon one day. What time will it read (24.00) hours later, assuming the pendulum has kept perfect time before the change? Note that there are two answers, and perform the calculation to four-digit precision.

a) (12:00 PM) and (12:24 AM)
b) (12:00 PM) and (11:36 AM)
c) (12:00 PM) and (12:48 PM)
d) (12:00 PM) and (11:12 PM)

Answer 1

If the clock reads 12:00 PM at noon and the length of the pendulum changes by 1.000%, after 24.00 hours the clock will read two different times: 11:36 AM (15 minutes earlier) and 12:24 AM (24 minutes later).

Step-by-step explanation:

To find out what time the clock will read 24.00 hours later, we need to consider that the length of the clock's pendulum has changed by 1.000%. If the clock reads 12:00 PM at noon, then after 24.00 hours, it will read two different times. One is 11:36 AM (15 minutes earlier than the original time) and the other is 12:24 AM (24 minutes later than the original time).