Question

The crystal in a quartz-crystal clock vibrates about 1 × 10⁵ times a second. How many vibrations will the crystal make in one year? (Note: There are about 3.2 × 10⁷ seconds in a year.)

Answer 1

The crystal in a quartz-crystal clock will make approximately 3.2 × 10¹² vibrations in one year.

Step-by-step explanation:

The crystal in a quartz-crystal clock vibrates about 1 × 10⁵ times a second. To determine how many vibrations the crystal will make in one year, we can use the formula:

Total Vibrations = Frequency imes Time

Given that the frequency of the crystal is 1 × 10⁵ vibrations per second, and the time in one year is approximately 3.2 × 10⁷ seconds, we can calculate:

Total Vibrations = (1 × 10⁵) imes (3.2 × 10⁷)

Total Vibrations = 3.2 × 10¹²

Therefore, the crystal will make approximately 3.2 × 10¹² vibrations in one year.