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WAVE OPTICS

283075 According to Huygens' principle, during refraction of light from air to a denser medium:

1 Wavelength decreases but speed increases

2 Wavelength increases but speed decreases

3 Wavelength and speed increases

4 Wavelength and speed decreases

Explanation:

: Speed of light in denser medium-
$v_{m} = \frac{c}{refractive index (μ)}$
Wavelength of light in denser medium-
$λ_{m} = \frac{λ}{μ}$ When light ray goes from air to denser medium, then its wavelength and speed decreases because every medium have a different velocity of light.

Karnataka CET-2017

WAVE OPTICS

283076 When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 6 cm is same as in water column of height $7 cm$ . If refractive index of glass is 1.5 then refractive index of water is

1 1.258

2 1.269

3 1.286

4 1.310

Explanation:

: Given, $μ_{g} = 1.5, h_{g} = 6 cm, h_{w} = 7 cm$ Number of waves in glass slab $(n_{g}) =$ No. of waves in water column $(n_{w})$
$μ_{g} h_{g} = μ_{w} h_{w}$
Where, $μ_{g} =$ refractive index of glass
$μ_{w} =$ refractive index of water
$μ_{w} = \frac{μ_{g} h_{g}}{h_{w}} - \frac{1.5 \times 6}{7} = 1.286$

MHT-CET 2017

WAVE OPTICS

283077 Huygens' wave theory of light cannot explain

1 Diffraction phenomena

2 Interference phenomena

3 Photoelectric effect

4 Polarization of light

5 Propagation of light

Kerala CEE - 2017

WAVE OPTICS

283078 For a radiation of $9 GHz$ passing through air. The number of waves passing through $1 m$ length is

1 30

2 5

3 20

4 3

Explanation:

: Given that, $f = 9 GHz = 9 \times 10^{9} Hz$ , length $= 1 m$
Wavelength of the wave,
$λ = \frac{c}{f} = \frac{3 \times 10^{8}}{9 \times 10^{9}} = \frac{1}{3 \times 10} m$ Number of waves $(N) = \frac{length}{λ} = \frac{1}{\underset{―}{1}} = 3 \times 10 = 30$

GUJCET 2017

WAVE OPTICS

283075 According to Huygens' principle, during refraction of light from air to a denser medium:

1 Wavelength decreases but speed increases

2 Wavelength increases but speed decreases

3 Wavelength and speed increases

4 Wavelength and speed decreases

Explanation:

: Speed of light in denser medium-
$v_{m} = \frac{c}{refractive index (μ)}$
Wavelength of light in denser medium-
$λ_{m} = \frac{λ}{μ}$ When light ray goes from air to denser medium, then its wavelength and speed decreases because every medium have a different velocity of light.

Karnataka CET-2017

WAVE OPTICS

283076 When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 6 cm is same as in water column of height $7 cm$ . If refractive index of glass is 1.5 then refractive index of water is

1 1.258

2 1.269

3 1.286

4 1.310

Explanation:

: Given, $μ_{g} = 1.5, h_{g} = 6 cm, h_{w} = 7 cm$ Number of waves in glass slab $(n_{g}) =$ No. of waves in water column $(n_{w})$
$μ_{g} h_{g} = μ_{w} h_{w}$
Where, $μ_{g} =$ refractive index of glass
$μ_{w} =$ refractive index of water
$μ_{w} = \frac{μ_{g} h_{g}}{h_{w}} - \frac{1.5 \times 6}{7} = 1.286$

MHT-CET 2017

WAVE OPTICS

283077 Huygens' wave theory of light cannot explain

1 Diffraction phenomena

2 Interference phenomena

3 Photoelectric effect

4 Polarization of light

5 Propagation of light

Kerala CEE - 2017

WAVE OPTICS

283078 For a radiation of $9 GHz$ passing through air. The number of waves passing through $1 m$ length is

1 30

2 5

3 20

4 3

Explanation:

: Given that, $f = 9 GHz = 9 \times 10^{9} Hz$ , length $= 1 m$
Wavelength of the wave,
$λ = \frac{c}{f} = \frac{3 \times 10^{8}}{9 \times 10^{9}} = \frac{1}{3 \times 10} m$ Number of waves $(N) = \frac{length}{λ} = \frac{1}{\underset{―}{1}} = 3 \times 10 = 30$

GUJCET 2017

WAVE OPTICS

283075 According to Huygens' principle, during refraction of light from air to a denser medium:

1 Wavelength decreases but speed increases

2 Wavelength increases but speed decreases

3 Wavelength and speed increases

4 Wavelength and speed decreases

Explanation:

: Speed of light in denser medium-
$v_{m} = \frac{c}{refractive index (μ)}$
Wavelength of light in denser medium-
$λ_{m} = \frac{λ}{μ}$ When light ray goes from air to denser medium, then its wavelength and speed decreases because every medium have a different velocity of light.

Karnataka CET-2017

WAVE OPTICS

283076 When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 6 cm is same as in water column of height $7 cm$ . If refractive index of glass is 1.5 then refractive index of water is

1 1.258

2 1.269

3 1.286

4 1.310

Explanation:

: Given, $μ_{g} = 1.5, h_{g} = 6 cm, h_{w} = 7 cm$ Number of waves in glass slab $(n_{g}) =$ No. of waves in water column $(n_{w})$
$μ_{g} h_{g} = μ_{w} h_{w}$
Where, $μ_{g} =$ refractive index of glass
$μ_{w} =$ refractive index of water
$μ_{w} = \frac{μ_{g} h_{g}}{h_{w}} - \frac{1.5 \times 6}{7} = 1.286$

MHT-CET 2017

WAVE OPTICS

283077 Huygens' wave theory of light cannot explain

1 Diffraction phenomena

2 Interference phenomena

3 Photoelectric effect

4 Polarization of light

5 Propagation of light

Kerala CEE - 2017

WAVE OPTICS

283078 For a radiation of $9 GHz$ passing through air. The number of waves passing through $1 m$ length is

1 30

2 5

3 20

4 3

Explanation:

: Given that, $f = 9 GHz = 9 \times 10^{9} Hz$ , length $= 1 m$
Wavelength of the wave,
$λ = \frac{c}{f} = \frac{3 \times 10^{8}}{9 \times 10^{9}} = \frac{1}{3 \times 10} m$ Number of waves $(N) = \frac{length}{λ} = \frac{1}{\underset{―}{1}} = 3 \times 10 = 30$

GUJCET 2017

WAVE OPTICS

283075 According to Huygens' principle, during refraction of light from air to a denser medium:

1 Wavelength decreases but speed increases

2 Wavelength increases but speed decreases

3 Wavelength and speed increases

4 Wavelength and speed decreases

Explanation:

: Speed of light in denser medium-
$v_{m} = \frac{c}{refractive index (μ)}$
Wavelength of light in denser medium-
$λ_{m} = \frac{λ}{μ}$ When light ray goes from air to denser medium, then its wavelength and speed decreases because every medium have a different velocity of light.

Karnataka CET-2017

WAVE OPTICS

283076 When the same monochromatic ray of light travels through glass slab and through water, the number of waves in glass slab of thickness 6 cm is same as in water column of height $7 cm$ . If refractive index of glass is 1.5 then refractive index of water is

1 1.258

2 1.269

3 1.286

4 1.310

Explanation:

: Given, $μ_{g} = 1.5, h_{g} = 6 cm, h_{w} = 7 cm$ Number of waves in glass slab $(n_{g}) =$ No. of waves in water column $(n_{w})$
$μ_{g} h_{g} = μ_{w} h_{w}$
Where, $μ_{g} =$ refractive index of glass
$μ_{w} =$ refractive index of water
$μ_{w} = \frac{μ_{g} h_{g}}{h_{w}} - \frac{1.5 \times 6}{7} = 1.286$

MHT-CET 2017

WAVE OPTICS

283077 Huygens' wave theory of light cannot explain

1 Diffraction phenomena

2 Interference phenomena

3 Photoelectric effect

4 Polarization of light

5 Propagation of light

Kerala CEE - 2017

WAVE OPTICS

283078 For a radiation of $9 GHz$ passing through air. The number of waves passing through $1 m$ length is

1 30

2 5

3 20

4 3

Explanation:

: Given that, $f = 9 GHz = 9 \times 10^{9} Hz$ , length $= 1 m$
Wavelength of the wave,
$λ = \frac{c}{f} = \frac{3 \times 10^{8}}{9 \times 10^{9}} = \frac{1}{3 \times 10} m$ Number of waves $(N) = \frac{length}{λ} = \frac{1}{\underset{―}{1}} = 3 \times 10 = 30$

GUJCET 2017

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