Measurement of Time: Atomic Clock, Unit Time and Time Period

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Shwetha S

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The measurement of time employs various different units of measurement, based on the time scales and periods under consideration. These encompass a wide range of scales, from the nearly microscopic units used in physics to the more substantial units used in geological and cosmic time scales (such as seconds, minutes, hours, days, months, and years).

There are two major approaches to measuring time. A clock is a mechanical device that counts the passing of time. It is typically used for tracking time more precisely and for periods shorter than a day. A calendar is a mathematical model used to calculate extended periods of time (i.e. longer than a day). 

  • An atomic clock is the most accurate clock in the world. It tells the time by measuring the vibration within the atoms
  • A clock that measures time by keeping track of the resonance frequency of atoms is known as an atomic clock.
  • It is based on the theory that atoms have various energies.
  • In an atom, different electron states correspond to different energy levels, and as these states change, they interact with electromagnetic radiation at a very particular frequency.

Read More: Speed Time Graphs

KeyTerms: Atomic Clock, Speed, Frequency, Atoms, Gravity, Temperature, Oscillation, Motion, Electrons. 


Measurement of Time

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Measurement of time is called chronometry. Time can be defined as the interval between any two events. Time helps to track changes by assigning dates to moments, defining event durations, and indicating the order of the events. Time can be expressed as the precise second at which a specific event occurs or as a time interval, or as the length of an ongoing event.

  • It is also known as Periodic events, which correspond to the events that repeat themselves after an equal interval of time.
  • A perfect example of a periodic movement is the simple pendulum or the rotation of a wheel of the car moving at a constant speed.
  • The methods of measuring time are different according to the place and profession.

Units and Measurements Video Lecture

Read More: Frequency and Wavelength


Measurement of Time Using the Atomic Clock

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An atomic clock is defined as a device that works on the usage of hyperfine transition frequency in an electron or microwave transition frequency in the ultraviolet or optical region of the electromagnetic spectrum of the atoms to be used as a standard value of frequency to keep the time on track. Atomic Clock also called the primary clock, corresponds to the clock which is based to work with atoms. The crossing radiation of electrons deals with the frequency of the clock.  

  • Measurement of time is most accurate using an atomic clock because of the standard frequency.
  •  it is also referred to as the primary standard for the system of international time distribution.
  • It is used in the global navigation system in satellites and to manage the wave frequency of TV broadcasts.

Read More: Displacement vector

Similar to a regular clock, an atomic clock also depends upon the oscillation process to keep a record of time. Oscillation is a periodic and repetitive variation about a central value and it could even be between two or more various states, which is created by the change in energy.

Atomic Clock
Atomic Clock

For example: Consider a pendulum clock whose time depends upon the oscillation of the pendulum hanging which moves back and forth.

  • The time of the clock depends totally upon the frequency of the pendulum.
  • The frequency of the pendulum can be wrong or right or anything depending on the factors like gravity, temperature, and pressure of different regions.
  • An atomic clock’s frequency totally depends upon the oscillation of atoms, which is always considered to be accurate.

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Ways to Measure Time

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Three basic ways to measure time are-

  1. A simple pendulum
  2. An atomic clock, and
  3. A stopwatch
Ways to Measure Time
Ways to Measure Time

Measurement of Time in History vs Modern World

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Measurement of time in the ancient period and the modern world are as follows:

  • Measurement of time in the ancient period corresponds to the occurrence of day and night.
  • The rising and setting of the Sun was considered to be periodic motion. 
  • The advancement of science and technology helped to measure time more precisely.
  • Modern science divided the whole day into 24 hours, every hour into 60 minutes, and every minute into 60 seconds.
  • Every second is further divided into 100 microseconds.

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History of the Atomic Clock

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Back in 1945, a physics professor at Columbia University whose name was Isidor Rabi proposed the fact that we can keep track of time using atomic vibrations. This theory came from something that he had developed which was known as Atomic Beam Magnetic Resonance.

After four years, the National Institute of Standards and Technology which was formerly known as the National Bureau of Standards developed the so-called Atomic Clock in which the Ammonia molecules were used. The United States’ current standard- NIST-F1 uses cesium atoms. There is another atomic standard clock present in Paris. Both of them are the two atomic clocks with the most accurate time.

History of the Atomic Clock
History of the Atomic Clock

A Massachusetts-based firm, which is a National Company made the first commercial cesium-based atomic clock. It is not easy to use an atomic clock in a wide range because of its large size and high power consumption.

But science, scientists, and engineers make everything possible. The problems faced while using the atomic clock are high power and large size, and NIST recently made an atomic clockwork that has no drawbacks like these. The new technology of manufacturing these within computer chips as it has a size close to the size of a grain of rice. The accuracy of time is 1 second in 126 years. It can easily be used in GPS systems, radios, and cellular telephones.

Read More: Light Sources 


Unit of Time

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A specific time interval that can be used to represent a standard duration of time for measuring purposes may correspond to the unit of time. The SI unit of time is second. According to the International System of Units and the extension of the western world, the second of time is defined by around 9 billion oscillations of Cesium Atoms.

According to The National Institute of Standard Technology, the precise and actual definition says, “The second, symbol s, is the SI unit of time. It is defined by taking the fixed numerical value of the cesium frequency ΔνCs, the unperturbed ground-state hyperfine transition frequency of the cesium 133 atoms, to be 9192631770 when expressed in the unit Hz, which is equal to s−1." 

Back then the unit of time was considered through the movements of astronomical objects. A few ancient units of time are mentioned below:

Sun-Based Unit

A year is the time taken by the Earth to complete one revolution around the sun. Some of the year-based units are-

  • Olympiad- 4 years
  • Lustrum- 5 years
  • Indiction- 15 years
  • Decade
  • Century
  • Millennium 
Sun based unit
Sun based unit

Moon-Based Unit

A month was the time taken by the moon to complete its own orbital period around the Earth.

Moon-based unit
Moon-based unit

Earth-Based Unit

A complete day is the time taken by the Earth to rotate on its axis. One week was subdivided into 7 days, and one fortnight had 14 days. One day is referred to as 24 hours, one hour is subdivided into 60 minutes, and then one minute is subdivided into 60 seconds. And now according to science, the second is the International Standard Unit.

Earth-based unit
Earth-based unit

Celestial Sphere-Based Unit

The movement of stars was decided to be used as the unit of time. Constellations helped in predicting the length of the year.

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Pendulum and Its Time Period

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A pendulum or simple pendulum is made of a metallic bob and a string, be it metallic or non-metallic. The bob is mainly considered as the pendulum and is certainly the important part.

  • One side of the string is attached to the bob and the other end needs to be fixed on a support in a way that the pendulum is free to do any movement (back and forth).
  • Once the pendulum is set up by letting bob free to move, it is moved in periodic motion.
  • The bob of the pendulum oscillates along the string and the wall making a periodic motion.
Pendulum and Its Time Period
Pendulum and Its Time Period
  • The time period of a simple pendulum depends upon the length of the string, the gravity, and the amplitude that corresponds to the maximum angle the pendulum would swing away from the vertical axis.
  • It would be surprising to know that the time period is independent of the mass of the bob. 

The formula for the time period of a simple pendulum is-

T = 2π√lg
where T is the time period, l is the length of the string, and g is the acceleration due to gravity.

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Things to Remember

  • Measurement of time employs multiple units of measured based on the time scales and durations.
  • The two major major approaches used to measure time are by clock and calendar. 
  • An atomic clock is a device that calculates the passage of time by monitoring the resonance frequency of atoms.
  • Time can be quantified as the precise second at which a certain event takes place, as a time interval, or as the duration of a continuing event.
  • The SI unit of time is second.
  • The time period of a simple pendulum is T=2π√lg

Read More: Barometer


Previous Years’ Questions

  1. A screw gauge has the least count of 0.01 mm… [NEET – 2020]
  2. Dimensions of stress are… [NEET – 2020]
  3. Lumen is the unit of… [UPSEE – 2019]
  4. A quantity z, to be estimated has a dependency… [TS EAMCET – 2019]
  5. The nearest star to our solar system is… [AMUEEE – 2018]
  6. A physical quantity of the dimensions of length that can… [NEET – 2017]
  7. Planck’s constant (ℎ), speed of light in vacuum…  [NEET – 2016]
  8. A body weighs 22.42 g and has a measured volume…  [WBJEE – 2010]
  9. A student measures the distance traversed in free fall … [NEET – 2010]
  10. Which of the following is the smallest unit… [UPSEE – 2010]

Sample Questions

Ques. What is the accuracy of the cesium clock 1 part? (1 Mark)

Ans. An amazing invention, the atomic clock based on cesium atoms can measure time to an accuracy of 1 in 10 to the power 15, or you can say that 1 second in around 30 million years. Its capacity can extend to even more.

Ques. What is the general Unit of Time? Mention the significance.  (3 Marks)

Ans: The most common unit of time is second (s). Other units of time are a year which equals 12 months.

  • A month consists of 30 or 31 days.
  • A day consists of 24 hours.
  • An hour has 60 minutes.
  • A minute consisting of 60 seconds.

Significance of Time: Time aids in the tracking of changes by giving dates to moments, specifying event durations, and marking the sequence of events. The exact second at which a certain event occurs, a time interval, or the duration of an ongoing event are all, ways to express time.

Ques. Who built the first atomic clock? (1 Mark)

Ans: The first accurate atomic clock also known as a Cesium-based atomic clock was based on a certain transition of cesium-133 atoms. This was built by Louis Essen and Jack Perry in 1955.

Ques. What is a simple pendulum? (2 Marks)

Ans. A simple pendulum corresponds to a system that has a small mass aka bob, which is suspended from a wire or string of negligible mass. The bob generally is of metal whereas the string needs to be lightweight and could be metallic or non-metallic.

Ques. Why is the frequency maintained through four cesium atomic clocks? (5 Marks)

Ans. Firstly, cesium is supposed to be heated for the atoms to boil off and then they could be passed down through a tube maintained at a high vacuum.

  • They pass through a magnetic field which helps in selecting those atoms that have the right energy state. After this stage, they pass through an intense microwave field.
  • Within a narrow range of frequencies, the frequency of the microwave energy moves back and forth.
  • Consequently, it crosses the frequency of exactly 9,192,631,770 Hertz at some point in each cycle.
  • The range of the microwave generator is already close to this exact frequency, as it comes from an accurate crystal oscillator.
  • The energy state gets changed when a cesium atom receives microwave energy at exactly the right frequency.

Ques. Where is the atomic clock in India? (1 Mark)

Ans. In India, the atomic clock, NPL clocks 1, 2, 3, 4, and 5 are placed in the National Physical Laboratory of India New Delhi, India. These atomic clocks are so expensive and they are usually stored for commercial use.

Ques. What are the uses of an Atomic Clock? (3 Marks)

Ans. An atomic clock is used for mainly three purposes. They are as follows: 

  • They are known to be with the most accurate time and frequency standards.
  • The main purpose of the atomic clock is to provide primary standards for international time distribution services.
  • These atomic clocks can control the wave frequency of television broadcasts and are used in global navigation satellite systems.
  •  For example, GPS.

Ques. Mention the Units of time and their corresponding relation with each other. (5 Marks)

Ans. Time has several units for measurement. Below is the table has given- 

SI unit of time – second

Other units of time are-

  • 1 minute corresponds to 60 seconds
  • 1 hour equals 60 minutes which is equal to 3,600 seconds
  • 1 day corresponds to 24 hours which corresponds to 86,400 seconds
  • 1 week equals 7 days which corresponds to 6,04,800 seconds
  • 1 month corresponds to 28-31 days which equals 24,19,200 seconds
  • 1 year has 365.25 days equals 3,15,57,600 seconds

Ques. What is the ratio of error in the current atomic clock? (1 Mark)

Ans. The current atomic clock has an error of only 1 second in up to 100 million years. Atomic clocks tell us the most accurate time being the most accurate timekeeping devices in history.


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CBSE CLASS XII Related Questions

  • 1.
    The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

      • \( \frac{q}{4 \pi \epsilon_0 l^2} \) pointing along MA
      • \( \frac{q}{\pi \epsilon_0 l^2} \) pointing along AM
      • \( \frac{q}{2 \pi \epsilon_0 l^2} \) pointing along AM
      • Zero

    • 2.
      Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))


        • 3.
          Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

            • attract with a force \( \frac{F}{2} \)
            • repel with a force \( \frac{F}{2} \)
            • repel with a force \( F \)
            • attract with a force \( F \)

          • 4.
            A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2>r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?


              • 5.
                Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.


                  • 6.
                    Write the expression for the magnetic field due to a current element in vector form. Consider a 1 cm segment of a wire, centered at the origin, carrying a current of 10 A in positive x-direction. Calculate the magnetic field \( \mathbf{B} \) at a point \( (1 \, \text{m}, 1 \, \text{m}, 0) \).

                      CBSE CLASS XII Previous Year Papers

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