Questões - ITA | Gabarito e resoluções

(ITA - 2005 - 1 FASE )As questes de 8 a 10 referem-se ao seguinte trecho, extrado de uma entrevista: Considere as seguintes asseres: I. Entre outras atividades, H. R. Thomas j trabalhou como pesquisador e consultor na rea da Educao. II. As reformas no sistema educacional britnico foram feitas h 15 anos. III. Durante o Seminrio realizado em Braslia, H. R. Thomas falou sobre a importncia do equilbrio entre autonomia e controle na Educao. IV. Na opinio de H. R. Thomas, essencial que a escola incentive os alunos a aprender a aprender. Ento, das afirmaes acima, esto corretas

(ITA - 2005 - 1 FASE )Uma banda de rock irradia uma certa potncia em um nvel de intensidade sonora igual a 70 decibis. Para elevar esse nvel a 120 decibis, a potncia irradiada dever ser elevada de

(ITA - 2005) Qual das opes a seguir apresenta a sequncia CORRETA de comparao do pH de solues aquosas dos sais FeC2, FeC3, MgC2, KCO2, todas com mesma concentrao e sob mesma temperatura e presso?

(ITA - 2005 - 1 FASE )Em relao a um sistema de eixos cartesiano ortogonal no plano, trs vrtices de um tetraedro regular so dados por A = (0, 0), B = (2,2) e C = ( 1 -, 1 +). O volume do tetraedro

(ITA - 2005 - 1 FASE ) Um pescador deixa cair uma lanterna acesa em um lago a 10,0 m de profundidade. No fundo do lago, a lanterna emite um feixe luminoso formando um pequeno ngulo com a vertical (veja figura). Considere: tg sen , o ndice de refrao do ar n1 = 1,00e o ndice de refrao da gua n2 = 1,33. Ento, a profundidade aparente h vista pelo pescador igual a:

(ITA - 2005 - 1 FASE )As questes de 11 a 17 referem-se aos seguintes pargrafos: 1 The smaller boys were known by the generic title of littluns. The decrease in size, from Ralph down, was gradual; and though there was a dubious region inhabited by Simon and Robert and Maurice, nevertheless no one had any 5 difficulty in recognizing biguns at one end and littluns at the other. The undoubted liltluns, those aged about six, led a quite distinct, and at the same time intense, life of their own. They ate most of the day, picking fruit where they could reach it and not particular about ripeness and quality. They were 0 used now to stomach-aches and a sort of chronic diarrhoea. They suffered untold terrors in the dark and huddled together for comfort. Apart from food and sleep, they found time for play, aimless and trivial, among the white sand by the bright water. They cried for their mothers much less often than 15 might have been expected; they were very brown, and filthily dirty. They obeyed the summons of the conch, partly because Ralph blew it, and he was big enough to be a link with the adult world of authority; and partly because they enjoyed the entertainment of the assemblies. But otherwise they seldom 20 bothered with the biguns and their passionately emotional and corporate life was their own. They had built castles in the sand at the bar of the little river. These castles were about one foot high and were decorated with shells, withered flowers, and interesting 25 stones. Round the castles was a complex of marks, tracks, walls, railway lines, that were of significance only if inspected with the eye at beach-level. The littluns played here, if not happily at least with absorbed attention; and often as many as three of them would play the same game together. 30 (Golding, W. Lord of the flies. 1954/1977:64-65) Assinale a opo em que as oraes desmembradas da sentena The undoubted littluns, those aged about six, led a quite distinct, and at the same time intense, life of their own. (linhas 3, 4 e 5), mantm o significado original.

(ITA - 2005 - 1 FASE ) Considere as afirmaes abaixo, todas relativas presso de 1 atm: I - A temperatura de fuso do cido benzoico puro 122 C, enquanto que a da gua pura 0C. II - A temperatura de ebulio de uma soluo aquosa 1,00 mol L-1 de sulfato de cobre maiordo que a de uma soluo aquosa 0,10 mol L-1 deste mesmo sal. III - A temperatura de ebulio de uma soluo aquosa saturada em cloreto de sdio maiordo que a da gua pura. IV - A temperatura de ebulio do etanol puro 78,4 C, enquanto que a de uma soluoalcolica 10% (m/m) em gua 78,2 C. Das diferenas apresentadas em cada uma das afirmaes acima, est(o) relacionada(s) compropriedades coligativas

(ITA - 2005 - 1 FASE ) No desenvolvimento de (ax2 - 2bx + c + 1)5 obtm-se um polinmio p(x) cujos coeficientes somam 32. Se 0 e -1 so razes de p(x), ento a soma a + b + c igual a

(ITA - 2005 - 1 FASE) The smaller boys were known by the generic title of Iittluns. The decrease in size, from Ralph down, was gradual; and though there was a dubious region inhabited by Simon and Robert and Maurice, nevertheless no one had any difficulty in recognizing biguns at one end and littluns at the other. The undoubted littluns, those aged about six, led a quite distinct, and at the same time intense, life of their own. They ate most of the day, picking fruit where they could reach it and not particular about ripeness and quality. They were used now to stomach-aches and a sort of chronic diarrhoea. They suffered untold terrors in the dark and huddled together for comfort. Apart from food and sleep, they found time for play, aimless and trivial, among the white sand by the bright water. They cried for their mothers much less often than might have been expected; they were very brown, and filthily dirty. They obeyed the summons of the conch,partly because Ralph blew it, and he was big enough to be a link with the adult world of authority; and partly because they enjoyed the entertainment of the assemblies. But otherwise they seldom bothered with the biguns and their passionately emotional and corporate life was their own. They had built castles in the sand at the bar of the little river. These castles were about one foot high and were decorated with shells, withered flowers, and interesting stones. Round the castles was a complex of marks, tracks, walls, railway lines, that were of significance only if inspected with the eye at beach-level. The littluns played here, if not happily at least with absorbed attention; and often as many as three of them would play the same game together. (Golding, W. Lord of the flies.1954/1977: 64-65) Assinale a opo que contm os respectivos significados dos termos nevertheless em nevertheless no one had ... e otherwise em But otherwise....

(ITA - 2005 - 1 FASE )So de 100 Hz e 125 Hz, respectivamente, as frequncias de duas harmnicas adjacentes de uma onda estacionria no trecho horizontal de um cabo esticado, de comprimento l = 2 m e densidade linear de massa igual a 10 g/m (veja figura). Considerando a acelerao da gravidade g = 10 m/s2, a massa do bloco suspenso deve ser de

(ITA - 2005) Um composto slido adicionado a um bquer contendo uma soluo aquosa de fenolftalena. A soluo adquire uma colorao rsea e ocorre a liberao de um gs que recolhido. Numa etapa posterior, esse gs submetido combusto completa, formando H2O e CO2. Com base nestas informaes, CORRETO afirmar que o composto

(ITA - 2005) O menor inteiro positivo n para o qual a diferena fica menor que 0,01

(ITA - 2005 - 1 FASE ) Seja e uma funo dada por Considere as afirmaes: I )f injetiva e sobrejetiva. II)f injetiva, mas no sobrejetiva. III), para todo x D, x 0. IV), para todo x D. Ento, so verdadeiras

(ITA - 2005 - 1 FASE )Considere o vo existente entre cada tecla de um computador e a base do seu teclado. Em cada vo existem duas placas metlicas, uma delas presa na base do teclado e outra, na tecla. Em conjunto, elas funcionam como um capacitor de placas planas paralelas imersas no ar. Quando se aciona a tecla, diminui a distncia entre as placas e a capacitncia aumenta. Um circuito eltrico detecta a variao da capacitncia, indicativa do movimento da tecla. Considere ento um dado teclado, cujas placas metlicas tm 40 mm2 de rea e 0,7 mm de distncia inicial entre si. Considere ainda que a permissividade do ar seja 0 = 9 . 10-12 F/m. Se o circuito eletrnico capaz de detectar uma variao da capacitncia a partir de 0,2 pF, ento, qualquer tecla deve ser deslocada de pelo menos

(ITA - 2005 - 1 FASE ) A 15C e 1 atm, borbulham-se quantidades iguais de cloridreto de hidrognio, HC(g), nos solventes relacionados abaixo: I - Etilamina II - Dietilamina III - n-Hexano IV - gua pura Assinale a alternativa que contm a ordem decrescente CORRETA de condutividade eltrica das solues formadas.