Understanding Time Units: Picoseconds and Seconds

The question asks us to determine the equivalent value of 1 picosecond in terms of seconds. This involves understanding the standard prefixes used in the International System of Units (SI) to denote fractions or multiples of base units like the second.

What is a Picosecond?

A picosecond is a unit of time in the SI system. It is a very small unit, representing a specific fraction of a second. The name comes from the prefix "pico", which signifies a particular multiplier.

SI Prefixes for Small Quantities

The SI system uses prefixes to make it easier to work with very large or very small numbers. These prefixes are powers of 10. For units of time smaller than a second, common prefixes include:

• Milli (m): \(10^{-3}\)
• Micro (\(\mu\)): \(10^{-6}\)
• Nano (n): \(10^{-9}\)
• Pico (p): \(10^{-12}\)
• Femto (f): \(10^{-15}\)
• Atto (a): \(10^{-18}\)

Each prefix represents a factor by which the base unit is multiplied.

Converting Picoseconds to Seconds

As per the definition of the "pico" prefix, it represents a multiplication factor of \(10^{-12}\). Therefore, when the prefix "pico" is attached to the unit "second", it means \(10^{-12}\) times a second.

So, 1 picosecond = \(1 \times 10^{-12}\) seconds.

This can be written simply as:

1 picosecond = \(10^{-12}\) seconds

Comparing with the Options

Let's look at the given options and compare them with our finding:

• Option 1: \(10^{-12}\) seconds
• Option 2: \(10^{-18}\) seconds (This corresponds to an attosecond)
• Option 3: \(10^{-9}\) seconds (This corresponds to a nanosecond)
• Option 4: \(10^{-15}\) seconds (This corresponds to a femtosecond)

Our calculated value, \(10^{-12}\) seconds, matches Option 1.

Based on the definition of the pico prefix and the standard SI units, 1 picosecond is equal to \(10^{-12}\) seconds.

Revision Table: Picosecond Conversion

Additional Information: Understanding Small Time Scales

Understanding units like picoseconds is important in various scientific fields, especially physics, chemistry, and engineering, where processes happen incredibly fast. For example:

• Chemical reactions can occur on the picosecond to femtosecond timescale.
• High-speed electronics operate with signals that change on the nanosecond or picosecond scale.
• Lasers can produce pulses of light lasting only picoseconds or femtoseconds, used in applications like spectroscopy and material processing.
• The speed of light is approximately 30 cm per nanosecond, meaning light travels about 0.3 mm in a picosecond.

These examples show why having units for such small durations is necessary for precise measurement and analysis.