A) \[3.8\times {{10}^{-5}}{{m}^{2}}{{s}^{-1}}\]
B) \[6.8\times {{10}^{-3}}{{m}^{2}}{{s}^{-1}}\]
C) \[5.8\times {{10}^{-5}}{{m}^{2}}{{s}^{-1}}\]
D) \[1.8\times {{10}^{-4}}{{m}^{2}}{{s}^{-1}}\]
Correct Answer: C
Solution :
Here, Mass of electron \[=9.1\times {{10}^{-31}}\,kg\] Planck's constant\[=6.63\times {{10}^{-34}}\,kg\,{{m}^{2}}{{s}^{-1}}\] Now by using \[\Delta x=\times \,\Delta p=\frac{h}{4\pi }\] \[\Delta x\Delta v\times m=\frac{h}{4\pi }\] \[\Delta x\times \Delta v=\frac{h}{4\pi .m}\] \[=\frac{6.63\times {{10}^{-34}}}{4\times 3.14\times 9.1\times {{10}^{-31}}}\] \[=5.8\times {{10}^{-5}}\,{{m}^{2}}{{s}^{-1}}.\] Hence, the correct option is (c).
You need to login to perform this action.
You will be redirected in
3 sec
