The de Broglie wavelength associated with a ball of mass `1kg` having kinetic enegry `0.5J` is

Options

A. `6.626 xx 10^(-34) m`
B. `13.20 xx 10^(-34) m`
C. `10.38 xx 10^(-21) m`
D. `6.626 xx 10^(-34) Å`

Answer

A

Explanation

`(1)/(2) mv^(2) = 05 J`
`(1)/(2) xx 1kg xx v^(2) = 0.5 J or v^(2) = 1 or v = 1 ms^(-1)`
`lamda = (h)/(mv) = (6.626 xx 10^(-34) kg m^(2) s^(-1))/(1kg xx 1ms^(-1))`
`= 6.626 xx 10^(-34) m`