Two slits in Young’s experiment have widths in the ratio of 1:25. The ratio of intensity at the maxima and minima in the interference pattern $\frac{{I}_{max}}{{I}_{min}}$ is:

1. $\frac{9}{4}$

2. $\frac{121}{49}$

3. $\frac{49}{121}$

4. $\frac{4}{9}$

Subtopic: Young's Double Slit Experiment |

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At the first minimum adjacent to the central maximum of a single slit diffraction pattern, the phase difference between the Huygen’s wavelet from the edge of the slit and the wavelet from the midpoint of the slit is:

1. $\frac{\mathrm{\pi}}{4}\mathrm{radian}$

2. $\frac{\mathrm{\pi}}{2}\mathrm{radian}$

3. $\mathrm{\pi}\mathrm{radian}$

4. $\frac{\mathrm{\pi}}{8}\mathrm{radian}$

Subtopic: Diffraction |

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For a parallel beam of monochromatic light of wavelength $\text{'}\lambda \text{'}$, diffraction is produced by a single slit whose width 'a' is much greater than the wavelength of the light. If 'D' is the distance of the screen from the slit, the width of the central maxima will be

1. $\frac{2\mathrm{D\lambda}}{\mathrm{a}}$

2. $\frac{\mathrm{D\lambda}}{\mathrm{a}}$

3. $\frac{\mathrm{Da}}{\mathrm{\lambda}}$

4. $\frac{2\mathrm{Da}}{\mathrm{\lambda}}$

Subtopic: Diffraction |

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In a double-slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. Monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double-slit within the central maxima of a single-slit pattern?

1. 0.2 mm

2. 0.1 mm

3. 0.5 mm

4. 0.02 mm

2. 0.1 mm

3. 0.5 mm

4. 0.02 mm

Subtopic: Young's Double Slit Experiment |

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A beam of light of λ = 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fringe is :

1. 1.2 cm

2. 1.2 mm

3. 2.4 cm

4. 2.4 mm

Subtopic: Diffraction |

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In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is λ is K, (λ being the wavelength of light used). The intensity at a point where the path difference is λ/4 will be :

1. K

2. K/4

3. K/2

4. zero

Subtopic: Young's Double Slit Experiment |

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In Young’s double slit experiment, the slits are 2 mm apart and are illuminated by photons of two wavelengths λ_{1} = 12000 Å and λ_{2} = 10000 Å. At what minimum distance from the common central bright fringe on the screen 2 m from the slit, will a bright fringe from one interference pattern coincide with a bright fringe from the other?

1. 6 mm

2. 4 mm

3. 3 mm

4. 8 mm

Subtopic: Young's Double Slit Experiment |

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A parallel beam of fast-moving electrons is incident normally on a narrow slit. A fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is correct?

1. The angular width of the central maximum of the diffraction pattern will increase.

2. The angular width of the central maximum will decrease.

3. The angular width of the central maximum will be unaffected.

4. A diffraction pattern is not observed on the screen in the case of electrons.

2. The angular width of the central maximum will decrease.

3. The angular width of the central maximum will be unaffected.

4. A diffraction pattern is not observed on the screen in the case of electrons.

Subtopic: Diffraction |

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Two periodic waves of intensities I_{1} and I_{2} pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

1. $2\left({\mathrm{l}}_{1}+{\mathrm{l}}_{2}\right)$

2. ${\left({\sqrt{\mathrm{I}}}_{1}+{\sqrt{\mathrm{l}}}_{2}\right)}^{2}$

3. ${\left({\sqrt{\mathrm{I}}}_{1}-{\sqrt{\mathrm{l}}}_{2}\right)}^{2}$

4. $2\left({\sqrt{\mathrm{I}}}_{1}-{\sqrt{\mathrm{l}}}_{2}\right)$

Subtopic: Superposition Principle |

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A major breakthrough in the studies of cells came with the development of an electron microscope. This is because:

1. the resolution power of the electron microscope is much higher than that of the light microscope.

2. the resolving power of the electron microscope is 200-350 nm compared to 0.1-0.2 nm for the light microscope.

3. electron beam can pass through thick materials, whereas light microscopy requires thin sections.

4. the electron microscope is more powerful than the light microscope as it uses a beam of electrons that has a wavelength much longer than that of photons.

Subtopic: Resolving Power of Optical Devices |

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