JEE Main 2023 — Chemistry Physical Chemistry

2023integermedium

Electrons in a cathode ray tube have been emitted with a velocity of $1000{\mathrm{ms}}^{-1}$ . The number of following statements which is/are true about the emitted radiation is

Given : $h=6\times {10}^{-34}\mathrm{Js},{m}_{e}=9\times {10}^{-31}\mathrm{kg}$

(A ) The deBroglie wavelength of the electron emitted is $666.67\mathrm{nm}$

(B ) The characteristic of electrons emitted depend upon the material of the electrodes of the cathode ray tube.

(D ) The nature of the emitted electrons depends on the nature of the gas present in cathode ray tube..

Official previous-year question

Held on 1 Feb 2023 · Verified 6 Jul 2026.

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Solution

(A) ${V}_{e}=1000m/s;h=6\times {10}^{-34}\mathrm{Js}$

${m}_{e}=9\times {10}^{-31}\mathrm{kg}$

Debroglie wavelength:

$\Rightarrow \lambda =\frac{h}{\mathrm{mv}}=\frac{6\times {10}^{-34}}{9\times {10}^{-31}\times 1000}=666.67\times {10}^{-9}m$

$=666.67\mathrm{nm}$

(B) The characteristic of electrons emitted is independent of the material of the electrodes of the cathode ray tube. Electrons are fundamental to all traditional forms of matter.

(D) The nature of the emitted electrons is independent on the nature of the gas present in cathode ray tube. They are fundamental particles.

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Solution

(A) ${V}_{e}=1000m/s;h=6\times {10}^{-34}\mathrm{Js}$

${m}_{e}=9\times {10}^{-31}\mathrm{kg}$

Debroglie wavelength:

$\Rightarrow \lambda =\frac{h}{\mathrm{mv}}=\frac{6\times {10}^{-34}}{9\times {10}^{-31}\times 1000}=666.67\times {10}^{-9}m$

$=666.67\mathrm{nm}$

(B) The characteristic of electrons emitted is independent of the material of the electrodes of the cathode ray tube. Electrons are fundamental to all traditional forms of matter.

(D) The nature of the emitted electrons is independent on the nature of the gas present in cathode ray tube. They are fundamental particles.

JEE Main 2023 — Chemistry Physical Chemistry

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JEE Main 2023 — Chemistry Physical Chemistry

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Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

Inorganic Chemistry

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