Bichromatic light of wavelengths $λ_{1} = 5000 A^{0}$ and $λ_{2} = 7000 A^{0}$ are used in YDSE. Then,

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$3^{r d}$ order minima of $λ_{1}$ will coincide with $4^{t h}$ order minima of $λ_{2}$

$21^{s t}$ order maxima of $λ_{2}$ will coincide with $15^{t h}$ order maxima of $λ_{1}$

$11^{t h}$ order minima of $λ_{1}$ will coincide with $8^{t h}$ order minima of $λ_{2}$

$14^{t h}$ order maxima of $λ_{1}$ will coincide with $10^{t h}$ order maxima of $λ_{2}$

answer is A, C.

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Detailed Solution

LCM(5,7)=35
$\Rightarrow$ $7^{t h}$ bright of $λ_{1} a n d$ $5^{t h}$ bright of $λ_{2}$ overlap.
$14 \times 5 = 10 \times 7 \Rightarrow$ Option A is correct
$10 \times 5 \neq 21 \times 7 \Rightarrow$ Option B is wrong
$10.5 \times 5 = 7.5 \times 7 \Rightarrow$ Option C is correct
$2.5 \times 5 \neq 3.5 \times 7 \Rightarrow$ Option D is wrong