If \( \alpha \) and \( \beta \) are the roots of the equation \( x^{2}+p x+2 \) \( =0 \) and \( \frac{1}{\alpha} \) and …

If \( \alpha \) and \( \beta \) are the roots of the equation \( x^{2}+p x+2 \) \( =0 \) and \( \frac{1}{\alpha} \) and \( \frac{1}{\beta} \) are the roots of the equation \( 2 x^{2}+ \) \( 2 q x+1=0 \), then \( \left(\alpha-\frac{1}{\alpha}\right)\left(\beta-\frac{1}{\beta}\right)\left(\alpha+\frac{1}{\beta}\right)\left(\beta+\frac{1}{\alpha}\right) \) is equal to

[JEE Main 2020, 3 Sep (Shift 1)]