SATHEE: Atomic Structure Question 190

Atomic Structure Question 190

Question: 1In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005 %. Certainty with which the position of the electron can be located is (h = 6.6 x $10^{- 34}$ kg $m^{2}$ /s, mass of electron, $e_{m}$ = 9.1 x $10^{31}$ kg)

Options:

A) $1.52 \times 10^{- 4} m$

B) $5.10 \times 10^{- 3} m$

C) $1.92 \times 10^{- 3} m$

D) $3.84 \times 10^{- 3} m$

Show Answer

Answer:

Correct Answer: C

Solution:

By Heisenberg’s uncertainty principle $Δ x (m Δ V) = \frac{h}{4 π}$

$Δ V_{a c c} = 0.005$ Or $Δ V = \frac{600 \times 0.005}{100} = 0.03 m s^{- 1}$

$Δ x \times 9.1 \times 10^{- 31} \times 0.03 = \frac{6.6 \times 10^{- 34}}{4 \times 3.14}$
Hence, $Δ x = \frac{6.6 \times 10^{- 34}}{4 \times 3.14 \times 0.03 \times 9.1 \times 10^{- 31}} = 1.92 \times 10^{- 3} m$

पिछला

अगला

गोपनीयता नीति

द्वारा संचालित Prutor@IITK

sathee@iitk.ac.in

SATHEE का मीडिया कवरेज

खेल स्टोर

ऐप स्टोर

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Atomic Structure Question 190

Question: 1In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005 %. Certainty with which the position of the electron can be located is (h = 6.6 x 10−34 kg m2 /s, mass of electron, em = 9.1 x 1031 kg)

Options:

Answer:

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Menu

Question: 1In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005 %. Certainty with which the position of the electron can be located is (h = 6.6 x $10^{- 34}$ kg $m^{2}$ /s, mass of electron, $e_{m}$ = 9.1 x $10^{31}$ kg)