Consider the optical system shown in Fig. The point source of light S is having wavelength equal to λ. The light is reaching screen onlyafter reflection. For point P to besecond maxima, the value of λ would be ( D d and dλ)

Question

Consider the optical system shown in Fig. The point source of light S is having wavelength equal to λ. The light is reaching screen <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/d302284270c625f03f48887ec0b360cf-.png" /> onlyafter reflection. For point P to besecond maxima, the value of λ would be ( D >>d and d>>λ) (A) (12 d2/ D ) (B) (6 d2/ D ) (C) (3 d2/ D ) (D) (24 d2/ D )

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/0d4d37ec5f963c18c5bd0f369698412b-.png" /> At P, Δ x=((8 d) × 3 d/ D ) For 2nd maxima, Δ x=2 λ ⇒ (24 d2/ D )=2 λ ⇒ λ=(12 d2/ D )

Q. Consider the optical system shown in Fig. The point source of light $S$ is having wavelength equal to $λ$ . The light is reaching screen

onlyafter reflection. For point $P$ to besecond maxima, the value of $λ$ would be $(D >> d$ and $d >> λ)$

$\frac{12 d ^{2}}{D}$

$\frac{6 d ^{2}}{D}$

$\frac{3 d ^{2}}{D}$

$\frac{24 d ^{2}}{D}$

At $P, Δ x = \frac{( 8 d ) \times 3 d}{D}$
For $2^{n d}$ maxima, $Δ x = 2 λ$
$\Rightarrow \frac{24 d ^{2}}{D} = 2 λ$
$\Rightarrow λ = \frac{12 d ^{2}}{D}$

Q. Consider the optical system shown in Fig. The point source of light S is having wavelength equal to λ. The light is reaching screen onlyafter reflection. For point P to besecond maxima, the value of λ would be (D>>d and d>>λ)

D12d2​

D6d2​

D3d2​

D24d2​