The velocity of the electron in Bohr's first orbit is x 10^6 ~m ~s ⁻¹ . The de-Broglie wavelength associated with it (in nm) is (m_e=9 10⁻³¹ ~kg , h=6.6 10⁻³⁴ ~J ~s )

Step-by-step solution

According to de-Broglie's equation, = h m_e v aligned & = de-Broglie wavelength & h= Planck's constant =6.626 10⁻³⁴ JS aligned aligned m_e & = mass of electron =9.1 10⁻³¹ ~kg v & = velocity of electron =x 10^6 ~m / s aligned aligned & = 6.626 10⁻³⁴ Js 9.1 10⁻³¹ ~kg x 10^6 ~m / s & = 0.728 10⁻⁹ ~m x aligned or = 0.728 x ~nm