Charge to Mass Ratio (e/m) of Electron — Thomson's Experiment

Chemistry · Structure Of Atom · NEET

The charge to mass ratio (e/m) of an electron is how much charge each kilogram of electron carries. J.J. Thomson measured it in 1897 using a cathode ray tube, and its value is e/mₑ = 1.758820 × 10¹¹ C/kg. Memory hook: "1.758 — the electron's ID number." This matters for NEET because Thomson found e/m only, not e or m alone.
Thomson's Cathode Ray Tube — measuring e/mCathode (−)Anode/screenElectric field (+)Magnetic fieldB (straight)ACelectron beam →Balance both fields → beam straight → e/mₑ = 1.758820 × 10¹¹ C/kg
In Thomson's tube, the electric field alone bends the beam to A and the magnetic field alone bends it to C. When both fields are balanced so the beam goes straight to B, the charge-to-mass ratio can be calculated as e/mₑ = 1.758820 × 10¹¹ C/kg.

Your doubts, answered

What exactly did Thomson measure — the charge, the mass, or the ratio?

Only the RATIO e/mₑ, not e or mₑ by itself. In his cathode ray tube experiment, the deflection of the beam depends on charge and mass together. From the deflection he could only get the value of charge divided by mass. He got e/mₑ = 1.758820 × 10¹¹ C/kg. To find the charge e alone, you need Millikan's oil drop experiment. Only after Millikan gave e could the mass mₑ be worked out by dividing.

What is the exact value and unit of e/m of an electron?

e/mₑ = 1.758820 × 10¹¹ coulomb per kilogram (C kg⁻¹). NEET usually rounds it to 1.76 × 10¹¹ C/kg. The unit is C/kg because it is charge (coulomb) divided by mass (kilogram). Remember the unit — a wrong unit is a common trap.

Why is the e/m value of an electron so huge (10¹¹)?

Because the electron's mass is extremely tiny (about 9.1 × 10⁻³¹ kg) while its charge is 1.6 × 10⁻¹⁹ C. When you divide a small charge by an even smaller mass, you get a very large number. A large e/m means the electron is deflected a lot by electric and magnetic fields — that is why cathode rays bend easily.

What three things did Thomson say the deflection depends on?

NCERT lists three: (i) the magnitude of the charge — more charge means more deflection; (ii) the mass — a lighter particle bends more; (iii) the strength of the electric or magnetic field — a stronger field bends the beam more. By balancing the electric field and the magnetic field so the beam goes straight, he calculated e/mₑ.

How is e/m of an electron different from e/m of a proton?

The electron has the LARGEST e/m of any particle because it is the lightest. A proton is about 1836 times heavier, so its e/m is about 1836 times smaller (roughly 9.58 × 10⁷ C/kg). Same-size charge, but much bigger mass means much smaller e/m. In NEET, 'highest e/m' almost always points to the electron.

Does e/m change if you use a different gas or different metal electrodes?

No. Thomson found the same e/mₑ no matter which gas filled the tube or which metal the electrodes were made of. This constant value proved that electrons are the same in all atoms — a basic building block of every atom. This is an important NCERT conclusion often asked in NEET.

⚠️ The NEET trap
Thomson determined the charge (e) of the electron using the cathode ray tube.
Thomson determined only the charge-to-mass RATIO (e/mₑ = 1.758820 × 10¹¹ C/kg). The charge e itself was found later by Millikan's oil drop experiment.
🧠 Thomson = e/m only. Millikan = e. Combine both to get the mass mₑ. Do not credit Thomson with the charge.

Solved Structure Of Atom NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 30 Structure Of Atom NEET PYQs ›
Next concept: Millikan's Oil Drop ExperimentKeep learning — 2 minFeeling ready? Solve the Structure Of Atom NEET PYQs ›Or practice on your phone — get the free MedicNEET app ›

Frequently asked

What is the value of e/m for an electron?

e/mₑ = 1.758820 × 10¹¹ C kg⁻¹ (often written 1.76 × 10¹¹ C/kg). It was measured by J.J. Thomson in 1897.

Who determined the charge to mass ratio of the electron?

J.J. Thomson, a British physicist, in 1897, using a cathode ray discharge tube with electric and magnetic fields applied perpendicular to the electron path.

What is the unit of charge to mass ratio?

Coulomb per kilogram (C/kg or C kg⁻¹), because it is the electric charge divided by the mass.

Why could Thomson not find the mass of the electron?

His experiment gave only e/mₑ. To get the mass, you also need the charge e, which came from Millikan's oil drop experiment. Then mₑ = e ÷ (e/mₑ).

Which particle has the highest charge to mass ratio?

The electron, because it has the smallest mass. Protons and other heavier particles have much lower e/m values.