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^(-29) m`
D. `6.626 xx 10^(-34) Å`

Answer

A

Explanation

`(1)/(2) mv^(2) = 0.5 J rArr (1)/(2) xx 1kg xx v^(2) = 0.5 J` or `v = 1ms^(-1)`
`lambda = (h)/(mv) = (6.626 xx 10^(-34) kg ms^(-1))/(1kg xx ms^(-1))`
`= 6.626 xx 10^(-24) m`.