Answer
a) $p_i=2.76\times 10^{-24}Kg.m/s$
b) $p_f=27.28\times 10^{-25}Kg.m/s$
Work Step by Step
(a) We know that
$p_i=\frac{h}{\lambda}$
We plug in the known values to obtain:
$p_i=\frac{6.63\times 10^{-34}J.s}{0.240\times 10^{-9}m}$
$p_i=2.76\times 10^{-24}Kg.m/s$
(b) We know that
$\lambda_f=\lambda_i+\frac{h}{m_{\circ}c}(1-cos\theta)$
We plug in the known values to obtain:
$\lambda_f=0.240\times 10^{-9}m+(2.43\times 10^{-12}m)(1-cos105^{\circ})$
$\lambda_f=0.243\times 10^{-9}m$
Now $p_f=\frac{h}{\lambda_f}$
We plug in the known values to obtain:
$p_f=\frac{6.63\times 10^{-34}J.s}{0.243\times 10^{-9}m}$
$p_f=27.28\times 10^{-25}Kg.m/s$
