Questões - ITA | Gabarito e resoluções

(ITA - 2001 - 1a Fase) No circuito eltrico da figura, os vrios elementos tm resistncias R1, R2 e R3conforme indicado. Sabendo que 2xR3= R1, para que a resistncia equivalente entre os pontos Ae B da associao da figura seja igual a 2xR2 a razo r=R2/R1 deve ser:

(ITA -2001 - 1a Fase) A parte imaginria de ((1 + cos 2x) + i sen 2x)b, b inteiro positivo, x real,

(ITA - 2001 - 1a Fase) Duas partculas tm massas iguais a m e cargas iguais a Q. Devido a suainterao eletrosttica, elas sofrem uma fora F quando esto separadas de uma distncia d. Em seguida, estas partculas so penduradas, a partir de um mesmo ponto, por fios decomprimento L e ficam equilibradas quando a distncia entre elas d1. A cotangente do nguloque cada fio forma com a vertical, em funo de m, g, d, d1, F e L,

(ITA -2001 - 1a Fase) O polinmio com coeficientes reais P(x) = x5 + a4x4 + a3x3 + a2x2 + a1x + a0 tem duas razes distintas, cada uma delas com multiplicidade 2, e duas de suas razes so 2 e i. Ento, a soma dos coeficientes igual a:

(ITA - 2001 - 1a Fase) Considere as semirreaes representadas pelas semiequaes a seguir e seus respectivos potenciais padro de eletrodo: E0 = - 0,44 V E0 = 0,26 V E0 = 0,80 V Com base nas informaes acima, qual das opes a seguir relativa equao qumica de uma reao que dever ocorrer quando os reagentes, nas condies padro, forem misturados entre si?

(ITA - 2001 - 1a Fase) (...) Ever since Dad had returned from his life at sea he had been interested in robots. Maybe that in itself wasnt so strange, but with Dad it didnt end there. He was convinced that one day science would be able to create artificial people. By this, he didnt just mean those dumb metal robots with red and green flashing lights and hollow voices. Oh no, Dad believed that science would one day be able to create real thinking human beings, like us. And there was more -he also believed that, fundamentally, human beings are artificial objects. (...) Just imagine if all this suddenly came alive, Hans Thomas,he said. Imagine if these Lego figures suddenly began to toddle around among the plastic houses. What would we do then?(...) Basically, we ourselves are such Lego figures. The Solitaire Mystery-J. Gaardner- p. 8 Assinale a alternativa que melhor expressa o significado da frase Ever since Dad had returned from his life at sea he had been interested in robots.

(ITA - 2001 - 1a Fase) Uma barra metlica de comprimento L = 50,0 cm faz contato com um circuito,fechando-o. A rea do circuito perpendicular ao campo de induo magntica uniforme B. Aresistncia do circuito R = 3,00, sendo de 3,75.10-3 N a intensidade da fora constanteaplicada barra, para mant-la em movimento uniforme com velocidade v = 2,00 m/s. Nessascondies, o modulo de B :

(ITA - 2001 - 1a Fase) Considere as seguintes afirmaes a respeito da aplicao do fenol: Fenol utilizado I. na sntese da baquelite. II. na produo de tintas. III. como agente bactericida. IV. na obteno de explosivos V. na sntese do cido acetilsaliclico Das afirmaes feitas, esto CORRETAS

(ITA - 2001 - 1a Fase) Seja,. Considere o sistema O produto dos valores depara os quais o sistema admite soluo no trivial :

(ITA - 2001 - 1a Fase) (...) Ever since Dad had returned from his life at sea he had been interested in robots. Maybe that in itself wasnt so strange, but with Dad it didnt end there. He was convinced that one day science would be able to create artificial people. By this, he didnt just mean those dumb metal robots with red and green flashing lights and hollow voices. Oh no, Dad believed that science would one day be able to create real thinking human beings, like us. And there was more -he also believed that, fundamentally, human beings are artificial objects. (...) Just imagine if all this suddenly came alive, Hans Thomas,he said. Imagine if these Lego figures suddenly began to toddle around among the plastic houses. What would we do then?(...) Basically, we ourselves are such Lego figures. The Solitaire Mystery-J. Gaardner- p.8 Assinale a forma pela qual as frases Imagine if these figures suddenly began to toddle around among the plastic houses. What would we do then?poderiam ser reescritas em uma nica sentena:

(ITA - 2001 - 1a Fase) (...) Ever since Dad had returned from his life at sea he had been interested in robots. Maybe that in itself wasnt so strange, but with Dad it didnt end there. He was convinced that one day science would be able to create artificial people. By this, he didnt just mean those dumb metal robots with red and green flashing lights and hollow voices. Oh no, Dad believed that science would one day be able to create real thinking human beings, like us. And there was more -he also believed that, fundamentally, human beings are artificial objects. (...) Just imagine if all this suddenly came alive, Hans Thomas,he said. Imagine if these Lego figures suddenly began to toddle around among the plastic houses. What would we do then?(...) Basically, we ourselves are such Lego figures. The Solitaire Mystery-J. Gaardner- p.8 Para o pai de Thomas:

(ITA - 2001 - 2 FASE )Justificar por que cada uma das opes D e E da questo 04 est CORRETA ou ERRADA. Q04) -Um copo aberto, exposto atmosfera, contm gua slida em contato com gua lquida em equilbrio termodinmico. A temperatura e presso ambientes so mantidas constantes e iguais , respectivamente, a 25oC e 1 atm. Com o decorrer do tempo, e enquanto as duas fases estiverem presentes, ERRADO afirmar que a) a temperatura do contedo do copo permanecer constante e igual a aproximadamente 0o C b) a massa da fase slida diminuir c) a presso de vapor da fase lquida permanecer constante d) a concentrao (mol/L) de gua na fase lquida ser igual a da fase slida e) a massa do contedo do copo diminuir

(ITA - 2001 - 1a Fase) Considere o circuito da figura, assentado nas arestas de um tetraedro,construdo com 3 resistores de resistncia R, um resistor de resistncia R1, uma bateria detenso U e um capacitor de capacitncia C. O ponto S est fora do plano definido pelos pontosP, W e T. Supondo que o circuito esteja em regime estacionrio, pode-se afirmar que:

(ITA - 2001 - 1a Fase) Considere os nmeros de 2 a 6 algarismos distintos formados utilizando-se apenas 1, 2, 4, 5, 7 e 8. Quantos destes nmeros so mpares e comeam com um dgito par?

(ITA - 2001 - 1a Fase) Sendo dado as seguintes equaes: ento, igual a: