Easy one - giving brainly if correct.

When illuminated with monochromatic light, a double slit produces a pattern that is a combination of single-slit diffraction and

d1i1m1o1n [39]

Answer:

The ratio is $k:d = 1 : 5$

Explanation:

From the question we are told that

The first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern.

Generally the condition for constructive interference for as single slit is

$ksin(\theta) = n\lambda$

Here k is the width of the slit and n is the order of the fringe and for single slit n = 1 (cause we are considering the first maxima)

Generally the condition for constructive interference for as double slit is

$dsin\theta = m\lambda$

Here d is the separation between the slit and m is the order of the fringe and for double slit m = 5 (cause we are considering the first maxima)

=> $dsin\theta = 5\lambda$

So

$\frac{ksin(\theta)}{dsin(\theta)} = \frac{\lambda}{5\lambda}$

=> $\frac{k }{d} = \frac{1}{5}$

So

$k:d = 1 : 5$

5 0

3 years ago

A student is asked to determine the work done on a block of wood when the block is pulled horizontally using an attached string.

Lerok [7]

Answer:

D. Graphing the force as a function of distance and calculating the area under the curve.

Explanation:

5 0

4 years ago

Read 2 more answers

A roller coaster is travelling 1 m/s at the top of the track. At the bottom of the track, 5 seconds later, it is travelling 36 m

lidiya [134]

Answer:

7m/s²

Explanation:

Given parameters:

Velocity at the top = 1m/s

Velocity at the bottom = 36m/s

Time = 5s

Unknown:

Average acceleration = ?

Solution;

Acceleration is the rate of change of velocity with time. It is expressed as;

A = $\frac{v -u}{t}$

v is the velocity at the top

u is the velocity at the bottom

t is the time taken

Now, insert the parameters and solve;

A = $\frac{36 - 1}{5}$ = 7m/s²

7 0

3 years ago

The direction that an induced current flows in a circuit is given by

AURORKA [14]

Answer:

Lenz's law

Explanation:

it states that induced emf of different polarities induces a current whose magnetic field opposes the change in magnetic flux through the coil in order to ensure that original flux is maintained through the coil when current flows in it.

according to Faraday' s law of electromagnetic induction

Where -ve sign due to lenz's law

Emf is the induced voltage also known as electromotive force

N is the number of loops.

dϕ Change in magnetic flux.

dt Change in time.

8 0

3 years ago

Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 1

kondor19780726 [428]

Answer:

Explanation:

Given

Acceleration $a(t)=14t\hat{i]+\sin (t)\hat{j}+\cos (2t)\hat{k}$ [/tex]

and $v(0)=\hat{i}$

$r(0)=\hat{j}$

we know $a=\frac{\mathrm{d} v}{\mathrm{d} t}$

$\int dv=\int adt$

$v(t)=\int (14t\hat{i}+\sin (t)\hat{j}+\cos (2t)\hat{k})dt$

$v(t)=7t^2\hat{i}-\cos t\hat{j}+\frac{\sin (2t)\hat{k}}{2}+c$

at $t=0$

$v(0)=0-1\cdot \hat{j}+0+c$

$c=\hat{i}+\hat{j}$

$v(t)=(7t^2+1)\hat{i}+(1-\cos t)\hat{j}+\frac{\sin (2t)\hat{k}}{2}$

and $\frac{\mathrm{d} r}{\mathrm{d} t}=v(t)$

$\int dr=\int vdt$

$r(t)=\int ((7t^2+1)\hat{i}+(1-\cos t)\hat{j}+\frac{\sin (2t)\hat{k}}{2})dt$

$r(t)=(\frac{7}{2}t^3+t)\hat{i}+(t-\sin (t))\hat{j}+\frac{1}{2}\times (-\frac{1}{2}\cos 2t)\hat{k}+c_2$

at $t=0$

$r(0)=\hat{j}$

$r(t)=(\frac{7}{3}t^3+t)\hat{i}+(1+t-\sin t)\hat{j}+\frac{1}{4}(1-\cos 2t)\hat{k}$

4 0

3 years ago

Easy one - giving brainly if correct.​

Easy one - giving brainly if correct.