In a Young’s double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______× 10¹⁴ Hz.

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Vishal Baghel | Contributor-Level 10

3 months ago

Distance of 4^th bright fringe from central maxima = $\frac{4 λ D}{d}$

$S o, \frac{2.4}{100} = \frac{8 λ D}{d} \Rightarrow λ = \frac{2.4 \times 0.3 \times 1 0^{- 3}}{100 \times 8 \times 1.5} = 6 \times 1 0^{- 7} m$

$f = \frac{c}{λ} = \frac{3 \times 1 0^{8}}{6 \times 1 0^{- 7}} = 5 \times 1 0^{14} H z$

Distance of 4th bright fringe from central maxima = <math> <mrow> <mfrac> <mrow> <mn>4</mn> <mi>λ</mi> <mi>D</mi> </mrow> <mrow> <mi>d</mi> </mrow> </mfrac> </mrow> </math>  <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1815999484"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mi>S</mi> <mi>o</mi> <mo>, </mo> <mfrac> <mrow> <mn>2</mn> <mo>.</mo> <mn>4</mn> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>8</mn> <mi>λ</mi> <mi>D</mi> </mrow> <mrow> <mi>d</mi> </mrow> </mfrac> <mo>⇒</mo> <mi>λ</mi> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <mo>.</mo> <mn>4</mn> <mo>×</mo> <mn>0</mn> <mo>.</mo> <mn>3</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> <mrow> <mn>1</mn> <mn>0</mn> <mn>0</mn> <mo>×</mo> <mn>8</mn> <mo>×</mo> <mn>1</mn> <mo>.</mo> <mn>5</mn> </mrow> </mfrac> <mo>=</mo> <mn>6</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>7</mn> </mrow> </msup> <mi>m</mi> </mrow> </math> <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1815999485"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mi>f</mi> <mo>=</mo> <mfrac> <mrow> <mi>c</mi> </mrow> <mrow> <mi>λ</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mrow> <mn>3</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>8</mn> </mrow> </msup> </mrow> <mrow> <mn>6</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>7</mn> </mrow> </msup> </mrow> </mfrac> <mo>=</mo> <mn>5</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>1</mn> <mn>4</mn> </mrow> </msup> <mi>H</mi> <mi>z</mi> </mrow> </math>

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In a Young’s double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______× 10¹⁴ Hz.

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In a Young’s double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______× 1014 Hz.

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In a Young’s double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______× 10¹⁴ Hz.