NEET2008PhysicsDual Nature of MatterActual
A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 10^6 ~ms ⁻¹ . The velocity of the particle is (Mass of electron =9.1 10⁻³¹ ~kg )
Options
- A2.7 10⁻¹⁸ ~ms ⁻¹
- B9 10⁻² ~ms ⁻¹
- C3 10⁻³¹ ~ms ⁻¹
- D2.7 10⁻²¹ ~ms ⁻¹
Correct answer
A. 2.7 10⁻¹⁸ ~ms ⁻¹
Step-by-step solution
Wavelength of a particle is given by = h p where h is Planck's constant. and wavelength of an electron is given by aligned _e & = h p_e & = _e p & =p_e m v & =m_e y_e y & = m_e v_e m aligned So, Putting the undergiven data, we get aligned & m_e=9.1 10⁻³¹ ~kg , v_e=3 10^6 ~m / s & m=1 mg = 1 10⁻⁶ ~kg & y= 9.1 10⁻³¹ 3 10^6 1 10⁻⁶ &=2.7 10⁻¹⁸ ~ms ⁻¹ aligned