<u>26mm</u> is the thinnest thickness of oil that will brightly reflect the light.
What is wavelength ?
The distance over which a periodic wave's shape repeats is known as the wavelength in physics. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. It is the distance between two successive corresponding locations of the same phase on the wave, such as two nearby crests, troughs, or zero crossings. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda () is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.
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It is stored in the bonds between atoms
Explanation:
It is given that,
Force, ![F=(-8\ N)i+(6\ N)j](https://tex.z-dn.net/?f=F%3D%28-8%5C%20N%29i%2B%286%5C%20N%29j)
Position vector, ![r=(3i+4j)\ m](https://tex.z-dn.net/?f=r%3D%283i%2B4j%29%5C%20m)
(a) The torque on the particle about the origin is given by :
![\tau=F\times r\\\\\tau=(-8i+6j)\times (3i+4j)\\\\\tau=(-50k)\ N-m](https://tex.z-dn.net/?f=%5Ctau%3DF%5Ctimes%20r%5C%5C%5C%5C%5Ctau%3D%28-8i%2B6j%29%5Ctimes%20%283i%2B4j%29%5C%5C%5C%5C%5Ctau%3D%28-50k%29%5C%20N-m)
(b) To find the angle between r and F use dot product formula as :
![F{\cdot} r=|F||r|\ \cos\theta\\\\\cos\theta=\dfrac{F{\cdot} r}{|F| |r|}\\\\\cos\theta=\dfrac{(-8i+6j){\cdot} (3i+4j)}{\sqrt{(-8)^2+6^2} \times \sqrt{3^2+4^2} }\\\\\cos\theta=\dfrac{-24+24}{\sqrt{(-8)^2+6^2} \times \sqrt{3^2+4^2} }\\\\\cos\theta=0\\\\\theta=90^{\circ}](https://tex.z-dn.net/?f=F%7B%5Ccdot%7D%20r%3D%7CF%7C%7Cr%7C%5C%20%5Ccos%5Ctheta%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cdfrac%7BF%7B%5Ccdot%7D%20r%7D%7B%7CF%7C%20%7Cr%7C%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cdfrac%7B%28-8i%2B6j%29%7B%5Ccdot%7D%20%283i%2B4j%29%7D%7B%5Csqrt%7B%28-8%29%5E2%2B6%5E2%7D%20%5Ctimes%20%5Csqrt%7B3%5E2%2B4%5E2%7D%20%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D%5Cdfrac%7B-24%2B24%7D%7B%5Csqrt%7B%28-8%29%5E2%2B6%5E2%7D%20%5Ctimes%20%5Csqrt%7B3%5E2%2B4%5E2%7D%20%7D%5C%5C%5C%5C%5Ccos%5Ctheta%3D0%5C%5C%5C%5C%5Ctheta%3D90%5E%7B%5Ccirc%7D)
Hence, this is the required solution.
An epidemiologist is a doctor who counteracts mass infections (epidemics, pandemics), organizes the treatment and prevention of the spread of epidemics.
Answer: 18.27°
Explanation:
Given
Index of refraction of blue light, n(b) = 1.64
Wavelength of blue light, λ(b) = 440 nm
Index of refraction of red light, n(r) = 1.595
Wavelength of red light, λ(r) = 670 nm
Angle of incident, θ = 30°
Angle of refraction of red light is
θ(r) = sin^-1 [(n(a)* sin θ) / n(r)], where n(a) = index of refraction of air = 1
So that,
θ(r) = sin^-1 [(1 * sin 30) / 1.595]
θ(r) = sin^-1 (0.5 / 1.595)
θ(r) = sin^-1 0.3135
θ(r) = 18.27°