Answer
$p=0.166mm$
Work Step by Step
We can determine the pitch from the formula:
$p=vcos{\theta}T$................................eq(1)
Also, we can find $v$ from the following equation
$v=\sqrt{\frac{2K.E}{m}}$
Putting the values in this equation, we obtain $v$ as:
$v=\sqrt{\frac{2(2\times 10^3\times 1.6\times 10^{-19})}{9.109\times 10^{-31}}}$
$v=2.6507\times 10^7\frac {m}{s}$
Now, we plug in the known values in eq(1) to obtain:
$p=2.6507\times 10^7cos{89^{\circ}}(0.358\times 10^{-9})$
$p=1.66\times 10^{-4}$
$p=0.166\times 10^{-3}$
$p=0.166mm$
