If the wavelength of light is 4000^∘ A then the number of waves in 1 mm length will be (A) 2.5

Name: Problem 2162, Chapter 15: JEE Physics
Uploaded: 2021-10-02T10:30:23-08:00
Duration: 1 min 48 s
Channel: Ankur Khosla
Description: If the wavelength of light is 4000^∘ A then the number of waves in 1 mm length will be (A) 2.5 (B) 2500 (C) 250 (D) 25000

step 1 So students in this question we have given lambda, it is wavelength, has 4 ,000 angostrum, right

Question

If the wavelength of light is $4000^{\circ} \mathrm{A}$ then the number of waves in $1 \mathrm{~mm}$ length will be (A) $2.5$ (B) 2500 (C) 250 (D) 25000

   If the wavelength of light is $4000^{\circ} \mathrm{A}$ then the number of waves in $1 \mathrm{~mm}$ length will be
(A) $2.5$
(B) 2500
(C) 250
(D) 25000

JEE Physics

StemEZ 1st Edition

Chapter 15, Problem 2162

Instant Answer

Solved by Expert Ankur Khosla

10/02/2021

Step 1

We know that $1 \mathrm{A} = 10^{-10} \mathrm{m}$, so $4000^{\circ} \mathrm{A} = 4000 \times 10^{-10} \mathrm{m} = 4 \times 10^{-7} \mathrm{m}$. Show more…

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If the wavelength of light is $4000^{\circ} \mathrm{A}$ then the number of waves in $1 \mathrm{~mm}$ length will be (A) $2.5$ (B) 2500 (C) 250 (D) 25000

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Key Concepts

Wavelength

Wavelength is the distance between consecutive peaks or troughs of a wave and is a fundamental property in the study of waves and optics. It defines the scale over which the wave's pattern repeats and is crucial for understanding how waves interact with matter and propagate through space.

Unit Conversion

Unit conversion involves changing the measurement of a quantity from one unit to another while maintaining its value. In problems dealing with wavelengths, converting units (such as Angstroms to millimeters or meters) is essential to ensure that all quantities are expressed in the same system before performing calculations.

Wave Count Calculation

The wave count calculation determines how many complete cycles of a wave fit into a specified length by dividing the total length by the wavelength. This concept is important in various applications in physics, as it translates the spatial dimension (like a distance) into a count of wave periods.

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