Questões - ITA 2004 | Gabarito e resoluções

(ITA -2004 - 1a Fase) Considere as seguintes radiaes eletromagnticas: I. Radiao Gama. II. Radiao visvel. III. Radiao ultravioleta. IV. Radiao infravermelho. V. Radiao micro-ondas. Dentre estas radiaes eletromagnticas, aquelas que, via de regra, esto associadas atransies eletrnicas em molculas so

(ITA - 2004 - 1a Fase) Uma estrela mantm presos, por meio de sua atrao gravitacional, os planetas Alfa, Beta e Gama. Todos descrevem rbitas elpticas, em cujo foco comum se encontra a estrela, conforme a primeira Lei de Kepler. Sabe-se que o semieixo maior da rbita de Beta o dobro daquele da rbita de Gama. Sabe-se tambm que o perodo de Alfa vezes maior que o perodo de Beta. Nestas condies, pode-se afirmar que a razo entre o perodo de Alfa e o de Gama :

(ITA - 2004 - 1 Fase) Commentary Human Development 1997; 40:96-101 A New Generation: New Intellectual Opportunities James Youniss The Catholic University of America, Washington, D.C., USA 1These comments on the publication of the new handbook are written from the perspective of a member of the in-between generation. In-betweeners were born about 5the time Murchison edited the first and second handbooks in the 1930s. They spent childhood watching newreels [sic] of World War II at movie houses featuring cowboy serials on Saturday afternoons. 10Their professional education straddled two psychological eras. It began just as the experimental psychology paradigm was ending its domination and it was completed as new alternatives were 15coming into view. (...) Had they been born just a few years earlier, they would have been part of that powerful and long-lasting generation that entered the military during World 20War II and filled the universities immediately after the war. This unusual cohort held leadership in the discipline of psychology in general and developmental psychology, in particular, 25for several decades. (...) ndices no canto superior esquerdo de uma palavra indicam o nmero da linha do texto original. Assinale a opo que contm uma expresso equivalente a: Had they been born, em Had they been born just a few years earlier... (linhas 16 e 17) e que, portanto, poderia vir a substitu-la no texto.

(ITA - 2004 - 1a Fase) Sejam as funes f e g definidas empor f(x) = x2 + x e g(x)= - (x2 + x), emque e so nmeros reais. Considere que estas funes so tais que Ento, a soma de todos os valores de x para os quais (f o g) (x) = 0 igual a

(ITA - 2004 - 1a Fase) Na figura, F1e F2so fontes sonoras idnticas que emitem, em fase, ondas de frequnciafe comprimento de onda. A distnciadentre as fontes igual a 3. Pode-se ento afirmar que a menor distncia no nula, tomada a partir de F2, ao longo do eixox, para a qual ocorre interferncia construtiva, igual a

(ITA -2004 - 1a Fase) Considere os eletrodos representados pelas semiequaes qumicas seguintes e seus respectivos potenciais na escala do eletrodo de hidrognio (E0) e nas condies-padro: Assinale a opo que contm o valor correto do potencial-padro do eletrodo representado pela semi-equao

(ITA - 2004 - 1a Fase) Commentary Human Development 1997; 40:96-101 A New Generation: New Intellectual Opportunities James Youniss The Catholic University of America, Washington, D.C., USA 1These comments on the publication of the new handbook are written from the perspective of a member of the in-between generation. In-betweeners were born about 5the time Murchison edited the first and second handbooks in the 1930s. They spent childhood watching newreels [sic] of World War II at movie houses featuring cowboy serials on Saturday afternoons. 10Their professional education straddled two psychological eras. It began just as the experimental psychology paradigm was ending its domination and it was completed as new alternatives were 15coming into view. (...) Had they been born just a few years earlier, they would have been part of that powerful and long-lasting generation that entered the military during World 20War II and filled the universities immediately after the war. This unusual cohort held leadership in the discipline of psychology in general and developmental psychology, in particular, 25for several decades. (...) ndices no canto superior esquerdo de uma palavra indicam o nmero da linha do texto original. Assinale a opo que contm a melhor traduo de that powerful and long-lasting generation (linha 18).

(ITA - 2004) Quatro copos (I, lI, III e IV) contm, respectivamente, solues aquosas de misturas de substncias nas concentraes especificadas a seguir: I. Acetato de sdio 0,1 moIL-1 + Cloreto de sdio 0,1 moIL-1. II. cido actico 0,1 moIL-1 + Acetato de sdio 0,1 molL-1. III. cido actico 0,1 moIL-1 + Cloreto de sdio 0,1 molL-1. IV. cido actico 0,1 moIL-1 + Hidrxido de amnio 0,1 moIL-1 . Para uma mesma temperatura, qual deve ser a sequncia CORRETAdo pH das solues contidas nos respectivos copos? Dados eventualmente necessrios: Constante de dissociao do cido actico em gua a 25 C: Ka = 1,8 x 10-5. Constante de dissociao do hidrxido de amnio em gua a 25 C: Kb = 1,8 x 10-5.

(ITA - 2004 - 1a Fase) Considere todos os nmeros z = x + iy que tm mdulo e esto na elipse x2 + 4y2 = 4. Ento, o produto deles igual a

(ITA - 2004 - 1a Fase) Num experimento de duas fendas de Young, com luz monocromtica de comprimento de onda , coloca-se uma lmina delgada de vidro (nv = 1,6) sobre uma das fendas. Isto produz um deslocamento das franjas na figura de interferncia. Considere que o efeito da lmina alterar a fase da onda. Nestas circunstncias, a espessura d da lmina, que provoca o deslocamento da franja central brilhante (ordem zero) para a posio que era ocupada pela franja brilhante de primeira ordem, igual a

(ITA - 2004 - 1a Fase) Commentary Human Development 1997; 40:96-101 A New Generation: New Intellectual Opportunities James Youniss The Catholic University of America, Washington, D.C., USA 1These comments on the publication of the new handbook are written from the perspective of a member of the in-between generation. In-betweeners were born about 5the time Murchison edited the first and second handbooks in the 1930s. They spent childhood watching newreels [sic] of World War II at movie houses featuring cowboy serials on Saturday afternoons. 10Their professional education straddled two psychological eras. It began just as the experimental psychology paradigm was ending its domination and it was completed as new alternatives were 15coming into view. (...) Had they been born just a few years earlier, they would have been part of that powerful and long-lasting generation that entered the military during World 20War II and filled the universities immediately after the war. This unusual cohort held leadership in the discipline of psychology in general and developmental psychology, in particular, 25for several decades. (...) ndices no canto superior esquerdo de uma palavra indicam o nmero da linha do texto original. O termo cohort (linha 22) refere-se

(ITA - 2004 - 1a Fase) Um tubo sonoro de comprimento ℓ, fechado numa das extremidades, entra em ressonncia, no seu modo fundamental, com o som emitido por um fio, fixado nos extremos, que tambm vibra no modo fundamental. Sendo L o comprimento do fio, m sua massa e c, a velocidade do som no ar, pode-se afirmar que a tenso submetida ao fio dada por:

(ITA - 2004 - 1a Fase) Para algum nmero realr, o polinmio 8x3- 4x2- 42x + 45 divisvel por (x - r)2. Qual dos nmeros abaixo est mais prximo der?

(ITA - 2004 - 1a Fase) O82Pb214desintegra-se por emisso de partculas Beta, transformando-se em 83Bi214que, por sua vez,se desintegra tambm por emisso de partculas Beta, transformando-se em 84Po214. A figura abaixo mostra como varia, com o tempo, o nmero de tomos, em porcentagem de partculas, envolvidos nestes processos de desintegrao. Admita ln2 = 0,69.Considere que, para estes processos, sejam feitas as seguintes afirmaes: I. O tempo de meia-vida do chumbo de aproximadamente 27 min. II. A constante de velocidade da desintegrao do chumbo de aproximadamente 3 102 min1. III. A velocidade de formao de polnio igual velocidade de desintegrao do bismuto. IV. O tempo de meia-vida do bismuto maior que o do chumbo. V. A constante de velocidade de decaimento do bismuto de aproximadamente 1 102 min1. Das afirmaes acima, esto corretas

(ITA - 2004 - 1a Fase) Men in cobalt-blue In reality, a perfume is the liquid essence of herbs, fruit, flowers and certain woods. In dreams, its not that way. In the ebb and flow of the imagination, a perfume always breathes. When creating his recent Polo Ralph Lauren Blue, stylist Ralph Lauren began with the freedom suggested by the color blue: seaside, cloudless sky and jeans. From this feeling arose the other elements of the new cologne. In the vocabulary of a perfumist, there are the warm tones of melon and tangerine, of basil and sage and the soft scents of amber and musk. The idea is to please an urban man who is taken by adventure, the sea and jeans. It follows the original Polo, that is now 25 years old. ICARO August 2003 p.14 Assinale a opo que no est de acordo com o texto.