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3 years ago

6

If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship betwe

en r and e ?
A. r=12er=12e
B. r = e
C. r = 2e
D. r=eâr=e
E. r=14e2

1 answer:

gavmur [86]3 years ago

6 0

Answer:

r= $\frac{1}{2}e$

Explanation:

when a sphere is inscribed in a cube , a side of the cube equals the diameter of the sphere, hence;

d = e

but d = 2r

2r =e

r= $\frac{1}{2}e$

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Parallel rays of monochromatic light with wavelength 571nm illuminate two identical slits and produce an interference pattern on

Natasha2012 [34]

Answer:

$8.8\times 10^{-6} W/m^2$

Explanation:

We are given that

Wavelength, $\lambda=571 nm=571\times 10^{-9} m$

$1 nm=10^{-9} m$

R=75 cm= $\frac{75}{100}=0.75 m$

1 m=100 cm

$d=0.640 mm=0.64\times 10^{-3} m$

$1 mm=10^{-3} m$

$a=0.434 mm=0.434\times 10^{-3} m$

$y=0.830 mm=0.830\times 10^{-3} m$

$I_0=5.00\times 10^{-4}W/m^2$

$tan\theta=\frac{y}{R}$

$\theta=\frac{0.830\times 10^{-3}}{0.75\times 10^{-2}}$

$\theta=1.1\times 10^{-3}rad$

$tan\theta\approx \theta$

Because $\theta$ is small.

$\phi=\frac{2\pi dsin\theta}{\lambda}$

$\sin\theta\approx \theta$ ,

Therefore

$\phi=\frac{2\times\pi\times 0.64\times 10^{-3}\times 1.1\times 10^{-3}}{571\times 10^{-9}}$

$\phi=7.74 rad$

$\beta=\frac{2\pi a\theta}{\lambda}$

$\beta=5.3 rad$

$I=I_0cos^2(\frac{\phi}{2})(\frac{sin\frac{\beta}{2}}{\frac{\beta}{2}})^2$

$I=5\times 10^{-4}cos^2(\frac{7.74}{2})(\frac{sin\frac{5.3}{2}}{\frac{5.3}{2}})^2$

$I=8.8\times 10^{-6} W/m^2$

6 0

3 years ago

Two capacitors, a 15 micro F and a 25 micro F, are connected in parallel to a 60 Hz source. The total capacitive reactance is :_

Stells [14]

Answer:

<em> 3980.89 ohms</em>

Explanation:

The capacitive reactance is expressed as;

$X_c = \frac{1}{2 \pi fC}$

f is the frequency

C is the capacitance of the capacitor

Given

f = 60H

C = C1+C2 (parallel connection)

C = 15μF + 25μF

C = 40μF

C = $40 * 10^{-6}F$

Substitute into the formula:

$X_c = \frac{1}{2(3.14)*60*40*10^{-6}}\\X_c = \frac{1}{0.0002512}\\X_c = 3,980.89$

<em>Hence the total capacitive reactance is 3980.89 ohms</em>

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40ml of Liquid A are poured into a beaker, and 40.0ml of Liquid B are poured into an identical beaker. Stirrers in each beaker a

lakkis [162]

Answer:

d

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there is not enough information about the liquid to know the force required for each. ie. stirring a cup of water is different than stirring a cup of pudding.

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2 years ago

What is the momentum of and 200 kg car traveling south at 22 m/sec?

motikmotik

The momentum of the car is 4.4x10^3 kg•m/sec

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Which mystery primate is a biped? list the characteristics you choose to justify your answer

Vadim26 [7]

Primate B mystery primate is a biped.

The characteristics are:

The vast majority of primates live in trees (Notable exceptions are humans and gorillas).
The majority of primates have upright upper bodies and occasionally walk on two feet (Humans are erect and always exhibit bipedalism).
All primates have smaller noses and matching olfactory brain regions (except Lemurs).
Compared to other mammals, primates have enormous brains for their size. Stereoscopic vision, hand-eye coordination, and manual dexterity are all governed by the brain's enlarged regions.
Considering the size of the animal, long gestations
Primate sociality is rather high in general.
The majority of primates are nocturnal.
The highly enjoyable action of grooming is shared by all highly evolved primates, including humans.

<h3>Primate </h3>

Lemurs, lorises, tarsiers, monkeys, apes, and humans are all included in the biological order called primates. Class Mammalian of the phylum Vertebrate includes creatures with qualities that have evolved recently in the taxonomic classification of the animal kingdom. 19 subtaxa known as orders have been added to the Mammalia classification. Primates are one of such groups, which contains eutherian animals like monkeys and apes. As a result, during a period of 30 million years, new world and old world monkeys underwent different adaptive radiations and were reproductively isolated. The Oligocene epoch saw the evolution of prosimians. About 30 million years ago, all currently extant primates underwent evolution.

Which mystery primate is a biped? list the characteristics you choose to justify your answer

Learn more about primate here:

brainly.com/question/16671781

#SPJ4

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1 year ago