$(a)\;49:1 \\ (b)\;1:49 \\ (c)\;1:7 \\ (d)\;7:1 $

From the two given equation of wave

$a_1 =6 \;a_2= 8$

$\large\frac{I_{max}}{I_{min}}=\large\frac{\bigg[\Large\frac{a_1}{a_2}+1\bigg]^2}{\bigg[\Large\frac{a_1}{a_2} -1\bigg]^2}$

$\qquad=\large\frac{\bigg[\Large\frac{6}{8}+1\bigg]^2}{\bigg[\Large\frac{6}{8} -1\bigg]^2}$

$\qquad= \large\frac{49}{1}$

Hence a is the correct answer.

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