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JEE Main 20231 FebruaryMorning Shift
Exam
JEE Main
Year
2023
Date
1 February
Shift
Morning Shift
Subject
Chemistry
Chapter
Structure of Atom

JEE Main 2023 · 1 February · Morning Shift · Chemistry · Structure of Atom

Electrons in a cathode ray tube have been emitted with a velocity...

Electrons in a cathode ray tube have been emitted with a velocity of 1000ms−11000{ms}^{- 1}. The number of following statements which is/are true about the emitted radiation is

Given : h=6×10−34Js,me=9×10−31kgh = 6 \times {10}^{- 34}Js, {m}_{e} = 9 \times {10}^{- 31}kg

(A ) The deBroglie wavelength of the electron emitted is 666.67nm666 . 67nm

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

(C) The cathode rays start from cathode and move towards anode.

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

Correct answer

2

Step-by-step solution

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

me=9×10−31kg{m}_{e} = 9 \times {10}^{- 31}kg
Debroglie wavelength:

⇒λ=hmv=6×10−349×10−31×1000=666.67×10−9m⇒ \lambda = \dfrac{h}{mv} = \dfrac{6 \times {10}^{- 34}}{9 \times {10}^{- 31} \times 1000} = 666 . 67 \times {10}^{- 9}m

=666.67nm= 666 . 67nm

(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.

(C) The cathode rays start from cathode and move towards anode. It was discovered by Sir J.J. Thompson.

(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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