Na tabela a seguir são apresentados os valores dos índices de refração absolutos para um cristal e para um vidro comum referente a luz monocromática de cor azul.

Admitindo o índice de refração do ar igual a 1, se ambos os materiais, constituídos de superfícies planas, forem expostos ao raio de luz monocromática azul sob o mesmo ângulo de incidência !$ \hat{(i)} !$, conforme o desenho. Qual a relação entre os senos dos ângulos !$ \hat{\alpha} !$ (ângulo refratado pelo vidro comum) e !$ \hat{\beta} !$ (ângulo refratado pelo cristal), em relação a normal (N)?

O número complexo !$ z=2+3i !$ é uma raiz do polinômio !$ p(x)=x^3-5x^2+17x-13 !$. Sendo assim, é correto afirmar que !$ p(x) !$ possui

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In The End

Linkin Park

One thing, I don’t know why

It doesn’t even matter how hard you try

Keep that in mind

I designed this rhyme

To remind myself of a time when

I tried so hard

In spite of the way you were mocking me

Acting like I was part of your property

Remembering all the times you fought with me

I’m surprised it got so

Things aren’t the way they were before

You wouldn’t even recognize me anymore

Not that you knew me back then

But it all comes back to me in the end

You kept everything inside

And even though I tried, it all fell apart

What it meant to me will eventually be a memory of a time when

I tried so hard

And got so far

But in the end

It doesn’t even matter

I had to fall

To lose it all

But in the end

It doesn’t even matter

I’ve put my trust in you

Pushed as far as I can go

For all this

There’s only one thing you should know

I’ve put my trust in you

Pushed as far as I can go

For all this T

here’s only one thing you should know

https://www.vagalume.com.br/linkin-park/in-the-end.html

The negative form of the underlined sentence, in the text, is

Uma página d o livro de Física do aluno João estava rasurada não permitindo ver completamente os dados do exercício sobre espelho côncavo. O professor falou para o aluno que se ele conseguisse resolver o exercício ganharia um ponto na média. O docente pediu que ele determinasse o tamanho do objeto colocado sobre o eixo principal e em frente ao espelho, sabendo que a imagem era direita e tinha 3 cm de altura. Além disso, o espelho tem centro de curvatura igual a 20 cm e a imagem está a uma distância de 5 cm do vértice do espelho. Portanto, João deve encontrar, corretamente, que o objeto tem tamanho de cm.

Read the text and answer question.

In The End

Linkin Park

One thing, I don’t know why

It doesn’t even matter how hard you try

Keep that in mind

I designed this rhyme

To remind myself of a time when

I tried so hard

In spite of the way you were mocking me

Acting like I was part of your property

Remembering all the times you fought with me

I’m surprised it got so

Things aren’t the way they were before

You wouldn’t even recognize me anymore

Not that you knew me back then

But it all comes back to me in the end

You kept everything inside

And even though I tried, it all fell apart

What it meant to me will eventually be a memory of a time when

I tried so hard

And got so far

But in the end

It doesn’t even matter

I had to fall

To lose it all

But in the end

It doesn’t even matter

I’ve put my trust in you

Pushed as far as I can go

For all this

There’s only one thing you should know

I’ve put my trust in you

Pushed as far as I can go

For all this T

here’s only one thing you should know

https://www.vagalume.com.br/linkin-park/in-the-end.html

The words in bold are, respectively, synonyms for

Read the text and answer the question.

Mandela

Nelson Mandela has achieved many things, but his greatest influence may be for something he didn’t do: run for a second term as South Africa’s leader. As the first President of a post-apartheid South Africa, he was, like George Washington, aware that everything he did would be a model for those who would follow. He once said, “I don’t want to be an octogenarian President.”

What he really meant was that no man - not even one unfairly imprisoned for 27 years - should be above the law or the people. Mandela will remain perhaps the only figure on the world stage who has been an unambiguous moral giant. He could be considered a hero precisely because he always admitted his errors and then tried to rise above them. And never stop learning. He had to catch up on almost three decades of social change, and one of the things he had to learn about was AIDS. At first, this man didn’t have the most enlightened view. But within a year-long before other, younger South African leaders - he understood that AIDS was an enormous tragedy for his country and his continent, and he saw it as another moral challenge in a life of facing up to them. That’s a moral leadership.

Adapted from Grad Two.

According to the text, we can infer that Mandela . EXCEPT:

Uma fonte de luz visível e monocromática, imersa em um fluido homogêneo, pode emitir dois raios de luz por dois caminhos distintos. Num dos caminhos a luz parte do ponto A e percorre uma trajetória retilínea até atingir o ponto C. No segundo caminho, a luz emitida do ponto A é refletida no ponto B, por um espelho plano perfeitamente polido, e, em seguida, atinge o ponto C. Conforme pode ser observado na figura a seguir, a distância entre o ponto A e a normal (N), descrita com relação ao espelho, é de 16 km. Admita que num determinado instante t = 0 a fonte é acionada e os raios de luz começam, ao mesmo tempo, a percorrer as trajetórias descritas. Determine a diferença de tempo, em segundos, entre os diferentes percursos até atingir o ponto C.

Considere a velocidade da luz no meio igual a 2.10⁸m/s.

Um móvel de dimensões desprezíveis realiza um movimento retilíneo com aceleração constante (a) descrito no gráfico abaixo, onde pode-se ver o comportamento da velocidade (v) desse móvel em função do tempo (t) .

Adote, para os valores de posição desse móvel, um referencial positivo no sentido da velocidade inicial !$ (v_0) !$ e com a posição igual a zero coincidindo com a posição inicial do móvel. Entre as alternativas a seguir, assinale aquela que indica corretamente a função da posição em relação ao tempo desse móvel, durante esse movimento, considerando o referencial descrito no enunciado.

Read the text and answer the question.

Doug Funnie

Douglas Yancey, “Doug” Fannie, is the titular character and chief protagonist of the animated series Doug. Douglas is a shy, insecure, and somewhat clumsy 11-year-old boy with a wild imagination and a big heart. He owns a very expressive dog named Porkchop. Doug is a 6th Grade average kid who always tries to do the right thing, despite his frequent failures. He is naive at times, and fears that people will think of him as a loser.

Adapted from https://doug.fandom.com/wiki/Doug_Funnie.

In the sentence “He owns a very expressive dog named Porkchop”, the verb OWNS can be replaced by _________ without change in meaning.

De acordo com o Anuário Nacional de Emissões de Vapores Combustíveis de Automóveis, em 1989 cada veículo leve emitia 5 g/dia de gasolina na forma de vapor para a atmosfera. Os últimos dados de 2012 do anuário, indicam que cada veículo leve emite apenas 0,15 g/dia de gasolina, na forma de vapor para a atmosfera. A diminuição na quantidade de combustível emitido para a atmosfera se deve a presença nos carros atuais de um dispositivo chamado cânister que absorve a maior parte dos vapores de gasolina que seriam emitidos para a atmosfera durante a exposição do carro parado ao sol e depois os injeta diretamente na câmara de combustão durante o funcionamento do motor. A quantidade de calor necessária para vaporizar a gasolina absorvida pelo cânister por dia é, em joules, igual a .

Considere:

1 - o calor latente de vaporização do combustível igual a 400 J/g;

2 - a gasolina de 1989 idêntica a utilizada em 2012.