Question

Assertion :If an electron is located within the range of 0.1 A, then the uncertainty in velocity is approximately $6\times {10}^6$ m/s. Reason: Trajectory (path of motion) of above electron can be defined.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are correct

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

$\Delta x\times m\Delta v=\frac{h}{4\pi }\Rightarrow \Delta v=\frac{6.62\times {10}^{-34}}{9.1\times {10}^{-31}\times 4\times 3.14\times {10}^{-11}}\simeq 6\times {10}^6$ m/s
As uncertainty in velocity is very high so we cannot define the trajectory of an electron.