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Physics Wave Optics

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a year ago

Physics Wave Optics Class 12th

Two pillars are at distance of 6.28m from each other. What should be the maximum distance of an observer from pillar to see them separately?

(θ_R = 1 arc minute)

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Vishal Baghel

Contributor-Level 10

_θR = $\frac{1}{60 °}$ for human eye

$\Rightarrow \frac{θ_{R}}{2} = \frac{6.28}{2 * x}$

$\Rightarrow x = 21.6 k m$

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a year ago

Physics Wave Optics Class 12th

In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the plane of slits. If the screen is moved by 5 * 10^-2m towards the slits, the change in fringe width is 3 * 10^-3cm. If the distance between the slits is 1mm, then the wavelength of the light will be_____________ nm.

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Vishal Baghel

Contributor-Level 10

According to Young's double slit experiment, we can write

$β = \frac{λ D}{d} \Rightarrow Δ β = β_{2} - β_{1} = \frac{λ}{d} Δ D$

$\Rightarrow λ = \frac{d Δ β}{Δ D} = \frac{1 * 1 0^{- 3} * 3 * 1 0^{- 5}}{5 * 1 0^{- 2}} = 60 * 1 0^{- 8} m = 600 n m$

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Physics Wave Optics Class 12th

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alok kumar singh

Contributor-Level 10

According to Young's double slit experiment, we can write

$β = \frac{λ D}{d} \Rightarrow Δ β = β_{2} - β_{1} = \frac{λ}{d} Δ D$

$\Rightarrow λ = \frac{d Δ β}{Δ D} = \frac{1 * 1 0^{- 3} * 3 * 1 0^{- 5}}{5 * 1 0^{- 2}} = 60 * 1 0^{- 8} m = 600 n m$

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New answer posted

a year ago

Physics Wave Optics Class 12th

Sodium light of wavelength 650nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maximum of diffraction pattern obtained in the two cases is _________* 10^-⁵ m.

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alok kumar singh

Contributor-Level 10

For maxima = y = (2n + 1) $\frac{λ}{2} \frac{D}{a}$

For 1^st maxima for l₁ wavelength (n = 1)

$y_{1} = \frac{3 λ_{1}}{2} \frac{D}{a}$ - (1)

First maxima for l₂ wavelength

$y_{2} = \frac{3}{2} λ_{2} \frac{D}{a}$ - (2)

$\Rightarrow y_{2} - y_{1} = \frac{3}{2} \frac{D}{a} [λ_{2} - λ_{1}]$

$= \frac{3}{2} * \frac{2 * 5 * 1 0^{- 9}}{0.5 * 1 0^{- 3}}$

$= \frac{3}{1 0^{- 3}} * 1 0^{- 8}$

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a year ago

Physics Wave Optics Class 12th

A sample contains 10^-2kg each of two substances A and B with half lives 4s and 8s respectively. The ration of their atomic weights is 1 : 2. The ratio of the amounts of A and B after16s is $\frac{x}{100}$ . The value of x is ______.

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New answer posted

a year ago

Physics Wave Optics Class 12th

Consider the given arrangement. The two slits $S_{1}$ and $S_{2}$ are illuminated by monochromatic light of wavelength $λ$ . Slits $S_{3}$ and are at separation $d_{1} = \frac{λ D}{3 d}$ , then ratio of maximum and minimum intensity on the screen will be

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alok kumar singh

Contributor-Level 10

Kindly go through the solution

Answer (12.00)

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a year ago

Physics Wave Optics Class 12th

When light of wavelength 540 nm passes through a single slit of unknown width, the diffraction pattern displays a second maximum where the first minimum of light of an unknown wavelength had been observed to fall. What is the unknown wavelength?

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Vishal Baghel

Contributor-Level 10

$\frac{λ_{1}}{w} = \frac{3 * 540}{2 w}$

$λ_{1} = 810 n m$

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a year ago

Physics Wave Optics Class 12th

A car is moving towards a stationary observer at a speed of 108 km/hr. The speed of sound is 330 m/s. If the observer hears the frequency of horn as 550 Hz, what frequency will he hear after the car has passed?

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Vishal Baghel

Contributor-Level 10

$v = 108 * \frac{5}{18} = 30 m / s$

$f_{1} = \frac{C}{C - v} f_{0}$

$f = \frac{330}{330 + 30} * 500 = \frac{33}{36} * 500 = \frac{5500}{12}$

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New answer posted

a year ago

Physics Wave Optics Class 12th

In a Young's double slit experiment, an angular width of the fringe is 0.53° on a screen place at 2m away for particular wavelength of 450 nm. The angular width of the fringe, when whole system is immersed in a medium of refractive index 7/5, is $\frac{1}{α} .$ The value of a is__________.

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Vishal Baghel

Contributor-Level 10

we know, = $\frac{λ}{d}$ $\frac{}{}$ $μ = \frac{C}{V} = \frac{C}{υ λ}$ $\frac{}{} \frac{}{}$

$_{} \frac{}{_{}_{}}$ $λ_{1} = \frac{C}{μ_{1} υ_{1}}$ [with change in medium frequency remain constant]

$λ_{2} = \frac{C}{μ_{2} υ_{2}}$

$\frac{λ_{2}}{λ_{1}} = \frac{μ_{1}}{μ_{2}} = \frac{5}{7}$ $λ_{2} = \frac{5}{7} λ_{1}$

$θ_{1} = \frac{λ_{1}}{d_{1}}$

2= $\frac{λ_{2}}{d_{2}}$

$\frac{θ_{2}}{θ_{1}} = \frac{λ_{2}}{λ_{1}} [? d_{1} = d_{2}]$

2 $= \frac{5}{7} * θ_{1}$

$θ_{2} = \frac{5}{7} * 0.35$

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New answer posted

a year ago

Physics Wave Optics Class 12th

In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in the interference pattern.

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Vishal Baghel

Contributor-Level 10

Amplitude is proportional to the slit – width, thus,

^{$\frac{A_{1}}{A_{2}} = 3$}

^{$\frac{l_{m a x}}{l_{m i n}} = \frac{{(A_{1} + A_{2})}^{2}}{{(A_{1} - A_{2})}^{2}} = \frac{{(\frac{A_{1}}{A_{2}} + 1)}^{2}}{{(\frac{A_{1}}{A_{2}} - 1)}^{2}} = \frac{{(3 + 1)}^{2}}{{(3 - 1)}^{2}} = 4 .$}

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