# A Particle X Moving With A Certain Velocity Has A De-broglie Wavelength Of 1a0 . If Particle Y Has A Mass Of 25 % That Of X And Velocity 75% That Of X, De Broglie's Wavelength Of Y Will Be:

Sol:

As given in the question:

$$m_{Y} = m_{X} * \frac{25}{100} = 0.25m_{X}$$ $$v_{Y} = v_{X} * \frac{75}{100} = 0.75v_{X}$$

De brogile wavelength $$\lambda = \frac{h}{mv}$$ $$\lambda _{X} = 1A^{\circ} = \frac{h}{m_{X} * v_{X}}$$ $$\lambda_{Y} = \frac{h}{(0.25m_{X} * 0.75v_{X})}$$ $$\Rightarrow 5.33\frac{h}{(m_{X} * v_{X})}$$ $$\Rightarrow 5.33 A^{\circ}$$

Explore more such questions and answers at BYJU’S.