question_answer 78)

If the velocity of electron in Bohr's first orbit is\[2.19\times {{10}^{6}}m\,{{\sec }^{-1}}\], calculate the de Broglie wavelength associated with it.

Answer:

We know, \[\lambda =\frac{h}{m\upsilon }\] \[=\frac{6.626\times {{10}^{-34}}J\,\sec }{9.1\times {{10}^{-31}}kg\times 2.19\times {{10}^{6}}m\,{{\sec }^{-1}}}\] \[=3.324\times {{10}^{-10}}m\]