
What is uncertainty in the location of a photon of wavelength , if wavelength is known to an accuracy of 1 pm?
A.
B. 0.02 m
C.
D. None of these
Answer
457.8k+ views
Hint: Heisenberg’s uncertainty principle tells us that it is impossible to find the position and momentum of any electron or sub-atomic species, with full accuracy. This principle explains the dual nature of matter, that is particle and wave nature.
Formula used:
Heisenberg’s uncertainty principle , where h is planck’s constant, x is position, p is momentum.
Complete answer:
We have been given a wavelength of a photon, for which we have to find the uncertainty in position. So from Heisenberg’s uncertainty formula we will first take out change in momentum to determine uncertainty in position.
As we know from de-broglie equation, ,
We have
Therefore, we will have change in momentum, ,
So, now uncertainty in position will be calculated as,
= 0.02 m
Hence, the uncertainty in position is calculated to be 0.02 m. So, option B is correct.
Additional information: the significance of Heisenberg’s uncertainty principle is applicable for the sub atomic particles which are microscopic. It is insignificant for macroscopic species.
Note:
The value of wavelength 5000 is converted to picometer and then to meter per second to obtain velocity, with the conversion factor of , as the accuracy is given in pico meter. h is planck’s constant whose value is .
Formula used:
Heisenberg’s uncertainty principle
Complete answer:
We have been given a wavelength of a photon,
As we know from de-broglie equation,
We have
Therefore, we will have change in momentum,
So, now uncertainty in position will be calculated as,
Hence, the uncertainty in position is calculated to be 0.02 m. So, option B is correct.
Additional information: the significance of Heisenberg’s uncertainty principle is applicable for the sub atomic particles which are microscopic. It is insignificant for macroscopic species.
Note:
The value of wavelength 5000
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
EMI starts from ₹3,108.34 per month
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

The flightless birds Rhea Kiwi and Emu respectively class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

How much is 23 kg in pounds class 11 chemistry CBSE
