Planck's Constant (h): Value, Units and Meaning

Chemistry · Structure Of Atom · NEET

Planck's constant, written as h, has the value 6.626 x 10^-34 joule second (J s). It is the fixed number that links the energy of one packet of light (a quantum) to its frequency, through the equation E = hv. Memory hook: "h joins Energy and frequency" - so E = h times v, and h is a tiny 6.626.
Planck's Constant: E = h νFrequencyν (per second)h = 6.626x 10^-34 J sPlanck's constantEnergyE (joule)x=h links energy of one light packet (quantum) to its frequency
Planck's constant h (6.626 x 10^-34 J s) connects the frequency of light to the energy of one quantum through E = h times frequency.

Your doubts, answered

What is the exact value of Planck's constant?

Planck's constant h = 6.626 x 10^-34 J s (joule second). In NEET numericals you can use 6.626 x 10^-34 J s. Sometimes it is rounded to 6.63 x 10^-34 J s. Always keep the power of ten (10^-34) correct - that is where most students lose marks.

What are the units of Planck's constant - J s or J/s?

The unit is J s (joule multiplied by second), NOT J/s. Here is why: E = hv, so h = E/v. Energy is in joules (J) and frequency is in per second (s^-1 or 1/s). So h = J / (1/s) = J x s = J s. If you ever write J/s (watt), your answer is wrong. J s is also the unit of angular momentum, which is why h appears in Bohr's mvr = nh/2pi.

What does Planck's constant actually mean?

It means energy is not smooth - it comes in tiny fixed packets called quanta. h is the size-link of one packet. For light of frequency v, one quantum carries energy E = hv. A bigger h would mean bigger energy jumps. Because h is extremely small (10^-34), the packets are tiny, so in daily life energy looks continuous. In atoms, this tiny h controls electron energy levels.

Why is Planck's constant so small?

It is small because energy packets of light are extremely tiny compared to everyday energy. One packet (photon) of visible light carries only about 10^-19 J. Since E = hv and v is around 10^15 per second, h must be near 10^-34 to give such a small energy. The tiny size of h is the reason quantum effects are only seen for atoms and light, not for cricket balls.

What is Planck's constant in eV s?

h = 4.136 x 10^-15 eV s. You get this by dividing 6.626 x 10^-34 J s by 1.6 x 10^-19 J/eV. NEET usually gives J s, but eV s is handy in photoelectric effect problems where energies are already in electron volts. Do not mix the two in one calculation.

Is h the same as h-bar?

No. h is Planck's constant = 6.626 x 10^-34 J s. h-bar (written as h with a slash) equals h/(2pi) = 1.054 x 10^-34 J s. h-bar appears in angular momentum and advanced physics. For NEET Chemistry, Bohr's rule mvr = nh/2pi uses plain h divided by 2pi, so you rarely need h-bar by name, but know they differ by 2pi.

Who discovered Planck's constant and why?

Max Planck introduced it in 1900 to explain black-body radiation - the way hot objects (like a heated iron rod) glow different colours. Classical physics failed to explain this. Planck said energy is emitted or absorbed only in whole packets E = hv, and h is the constant that made his equation match experiments. This was the birth of quantum theory.

⚠️ The NEET trap
Writing Planck's constant units as J/s (joule per second).
The correct unit is J s (joule second), because from E = hv, h = E/v = J / (s^-1) = J s. J/s is the unit of power (watt), not of h.
🧠 E = hv means h = E divided by frequency. Frequency is 1/second, so dividing by 1/second MULTIPLIES by second. Answer must end in J s, never J/s.

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Frequently asked

What is the value of Planck's constant in SI units?

h = 6.626 x 10^-34 J s in SI units. In CGS it is 6.626 x 10^-27 erg s.

Is Planck's constant a scalar or vector?

It is a scalar - just a fixed number with units J s. It has magnitude but no direction.

What is the dimensional formula of Planck's constant?

[h] = [M L^2 T^-1]. This is the same as the dimensions of angular momentum, which is why h shows up in mvr = nh/2pi.

Does Planck's constant change with temperature or place?

No. Planck's constant is a universal constant - it is the same everywhere in the universe and does not depend on temperature, material, or the light source.

Where does Planck's constant appear in NEET Structure of Atom?

In E = hv (photon energy), E = hc/lambda, the photoelectric equation, Bohr's angular momentum mvr = nh/2pi, and de Broglie's lambda = h/mv. It is one of the most-used constants in the chapter.