Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Light Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Light Waves

Determine the frequency range of light that is visible to an...

Determine the frequency range of light that is visible to an average human being (400 nm<λ<700 nm400 \text{ nm} < \lambda < 700 \text{ nm}).

Options

  1. A4.3×1014 Hz−7.5×1014 Hz4.3 \times 10^{14} \text{ Hz} - 7.5 \times 10^{14} \text{ Hz}
  2. B4.3×1015 Hz−7.5×1015 Hz4.3 \times 10^{15} \text{ Hz} - 7.5 \times 10^{15} \text{ Hz}
  3. C4.3×1012 Hz−7.5×1012 Hz4.3 \times 10^{12} \text{ Hz} - 7.5 \times 10^{12} \text{ Hz}
  4. D4.3×1013 Hz−7.5×1013 Hz4.3 \times 10^{13} \text{ Hz} - 7.5 \times 10^{13} \text{ Hz}

Correct answer

A. 4.3×1014 Hz−7.5×1014 Hz4.3 \times 10^{14} \text{ Hz} - 7.5 \times 10^{14} \text{ Hz}

Step-by-step solution

The relation between frequency ν\nu, wavelength λ\lambda, and speed of light cc is given by ν=cλ\nu = \dfrac{c}{\lambda}.

Given the wavelength range 400 nm<λ<700 nm400 \text{ nm} < \lambda < 700 \text{ nm}.

For the lower limit of wavelength, λ=400 nm=400×10−9 m\lambda = 400 \text{ nm} = 400 \times 10^{-9} \text{ m}:

\nu_\max = \dfrac{3 \times 10^{8}}{400 \times 10^{-9}} = 7.5 \times 10^{14} \text{ Hz}

For the upper limit of wavelength, λ=700 nm=700×10−9 m\lambda = 700 \text{ nm} = 700 \times 10^{-9} \text{ m}:

\nu_\min = \dfrac{3 \times 10^{8}}{700 \times 10^{-9}} \approx 4.3 \times 10^{14} \text{ Hz}

Thus, the frequency range of visible light is 4.3×1014 Hz−7.5×1014 Hz4.3 \times 10^{14} \text{ Hz} - 7.5 \times 10^{14} \text{ Hz}.
Practice Light Waves on Quantrex Academy →

More from Light Waves

In air, sodium light has a wavelength of 589 nm . Determine its frequency in water… Concepts Of Physics MCQ Edition [Volume 1]In air, sodium light has a wavelength of 589 nm . Determine its speed in water… Concepts Of Physics MCQ Edition [Volume 1]In air, sodium light has a wavelength of 589 nm . Determine its frequency in air. Concepts Of Physics MCQ Edition [Volume 1]For light of wavelength 400 nm , the index of refraction of fused quartz is 1.472 , and… Concepts Of Physics MCQ Edition [Volume 1]In air, sodium light has a wavelength of 589 nm . Determine its wavelength in water… Concepts Of Physics MCQ Edition [Volume 1]In a certain liquid, the speed of yellow light is 2.4 × 10^8 m s^ -1 . Determine the… Concepts Of Physics MCQ Edition [Volume 1]Light of wavelength 5.0 × 10^ -7 m is emitted in phase from two narrow slits. An… Concepts Of Physics MCQ Edition [Volume 1]Separated by a distance of 1.0 cm , two narrow slits emit light in phase. The light has a… Concepts Of Physics MCQ Edition [Volume 1] Full Light Waves list All Concepts Of Physics MCQ Edition [Volume 1] PYQs