Physics, 23.08.2019 16:10 cassandramanuel

Consider light that has its third minimum at an angle of 23.3° when it falls on a single slit of width 4.05 μm. find the wavelength of the light in nanometers.

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Answer from: kellersweeney

The wavelength of light is 533 nm.

Explanation:

It is given that,

Width of a single slit, $d=4.05\times 10^{-6}\ m$

Light has its third minimum at an angle of 23.3° when it falls on a single slit. For destructive interference, the equation for minima is given by:

$d\ sin\theta=n\lambda$

Here, n = 3

$\lambda=\dfrac{d\ sin\theta}{n}$

$\lambda=\dfrac{4.05\times 10^{-6}\times sin(23.3)}{3}$

$\lambda=5.33\times 10^{-7}\ m$

$\lambda=533\ nm$

So, the wavelength of the light is 533 nm. Hence, this is the required solution.

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

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Consider light that has its third minimum at an angle of 23.3° when it falls on a single slit of wid...

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