Questões - ITA | Gabarito e resoluções

(ITA - 2005 - 1 FASE) (...) Languages have always died. As cultures have risen and fallen, so their languages have emerged and disappeared. We can get some sense of it following the appearance of written language, for we now have records (in various forms - inscriptions, clay tablets, documents) of dozens of extinct languages from classical times - Bithynian, Cilician, Pisidian, Phrygian, Paphlagonian, Etruscan, Sumerian, Elamite, Hittite... We know of some 75 extinct languages which have been spoken in Europe and Asia Minor. But the extinct languages of which we have some historical record in this part of the world must be only a fraction of those for which we have nothing. And when we extend our coverage to the whole world, where written records of ancient languages are largely absent, it is easy to see that no sensible estimate can be obtained about the rate at which languages have died in the past. We can of course make guesses at the size of the population in previous eras, and the likely size of communities, and (1on the assumption that each community would have had its own language) work out possible numbers of languages.(...) (CRYSTAL, D. Language Death. C.U.P. 2000:68) Assinale a opo que contm outra forma de expressar a frase on the assumption that each community would have had... (ref. 1).

(ITA - 2005 - 1 FASE ) Um cilindro provido de um pisto mvel, que se desloca sem atrito, contm 3,2 g de gs hlio que ocupa um volume de 19,0 L sob presso 1,2 x 105 N m-2. Mantendo a presso constante, a temperatura do gs diminuda de 15 K e o volume ocupado pelo gs diminui para 18,2 L. Sabendo que a capacidade calorfica molar do gs hlio presso constante igual a 20,8 J K-1 mol-1, a variao da energia interna neste sistema aproximadamente igual a

(ITA - 2005 - 1 FASE ) Dois corpos esfricos de massa M e 5M e raios R e 2R, respectivamente, so liberados no espao livre. Considerando que a nica fora interveniente seja a da atrao gravitacional mtua, e que seja de 12R a distncia de separao inicial entre os centros dos corpos, ento, o espao percorrido pelo corpo menor at a coliso ser de:

(ITA - 2005 - 1 FASE ) A 25 C e 1 atm, considere o respectivo efeito trmico associado mistura de volumes iguais das solues relacionadas abaixo: I - Soluo aquosa 1 milimolar de cido clordrico com soluo aquosa 1 milimolar de cloreto de sdio. II - Soluo aquosa 1 milimolar de cido clordrico com soluo aquosa 1 milimolar de hidrxido de amnio. III - Soluo aquosa 1 milimolar de cido clordrico com soluo aquosa 1 milimolar de hidrxido de sdio. IV - Soluo aquosa 1 milimolar de cido clordrico com soluo aquosa 1 milimolar de cido clordrico. Qual das opes abaixo apresenta a ordem decrescente CORRETA para o efeito trmico observado em cada uma das misturas acima?

(ITA - 2005 - 1 FASE ) Considere um pndulo de comprimento ℓ, tendo na sua extremidade uma esfera de massa m com uma carga eltrica positiva q. A seguir, esse pndulo colocado num campo eltrico uniforme E que atua na mesma direo e sentido da acelerao da gravidade g . Deslocando-se essa carga ligeiramente de sua posio de equilbrio e soltando-a, ela executaum movimento harmnico simples, cujo perodo

(ITA - 2005 - 1 FASE) A circunferncia inscrita num tringulo equiltero com lados de 6 cm de comprimento a interseo de uma esfera de raio igual a 4 cm com o plano do tringulo. Ento, a distncia do centro da esfera aos vrtices do tringulo (em cm)

(ITA - 2005 - 1 FASE )As questes de 03 a 07 referem-se ao texto abaixo: (...) Languages have always died. As cultures have risen and fallen, so their languages have emerged and disappeared. We can get some sense of it following the appearance of written language, for we now have records (in various forms - inscriptions, clay tablets, documents) of dozens of extinct languages from classical times - Bithynian, Cilician, Pisidian, Phrygian, Paphlagonian, Etruscan, Sumerian, Elamite, Hittite... We know of some 75 extinct languages which have been spoken in Europe and Asia Minor. But the extinct languages of which we have some historical record in this part of the world must be only a fraction of those for which we have nothing. And when we extend our coverage to the whole world, where written records of ancient languages are largely absent, it is easy to see that no sensible estimate can be obtained about the rate at which languages have died in the past. We can of course make guesses at the size of the population in previous eras, and the likely size of communities, and (on the assumption that each community would have had its own language) work out possible numbers of languages.(...) (CRYSTAL, D. Language Death. C.U.P. 2000:68) Assinale a opo que contm uma conjuno que no pode substituir for em for we now have... (linhas 2 e 3).

(ITA - 2005) Uma esfera de raio r seccionada por n planos meridianos. Os volumes das respectivas cunhas esfricas contidas em uma semi-esfera formam uma progresso aritmtica de razo r3/45. Se o volume da menor cunha for igual a r3/18, ento n igual a

(ITA -2005 - 1 FASE ) Assinale a opo que contm a substncia cuja combusto, nas condies padro, libera maior quantidade de energia.

(ITA - 2005 - 1 FASE) Hywel Rhys Thomas, 56, is an authority on Education. Holder of a PhD in Education from the University of Birmingham, he has worked as a lecturer, administrator and researcher in Europe and as a consultant in Africa and South America. Last September he took part in Education and Science as Strategies for National Development, an international seminar held in Brasilia organised by UNESCO and the Brazilian Ministry of Education. Dr.Thomas, who participated as a guest of the British Council, discussed his ideas with Link UK: (I) Link: ....................................................................... H. R. Thomas: Over the last 15 years, the United Kingdom has been a place where major reforms have been introduced into almost all parts of the education system. It has become a natural laboratory, where different methods have been employed. We have gone from a system with very great professional autonomy to one where there is much more direction. My presentation explored the issue of balance between autonomy and control. Link: What is the greatest challenge for Education in a country like Brazil? H. R. Thomas: Clearly, sufficient resources are a major challenge. It is also important to move towards more active learning. The leading economies of the 21st century will be ones where people are lifelong learners and the only way in which you become a lifelong learner is to learn how to learn. This must mean moving away from passive acquisition of knowledge to a model where there is more emphasis on analytical and critical skills. (adapted from Link UK. March/April/May/June,2004) Assinale a opo que contm a melhor pergunta para a lacuna (I).

(ITA - 2005 - 1 FASE ) Um pequeno objeto de massa m desliza sem atrito sobre um bloco de massa Mcom o formato de uma casa (veja figura). A rea da base do bloco S e o ngulo que o planosuperior do bloco forma com a horizontal . O bloco flutua em um lquido de densidade ,permanecendo, por hiptese, na vertical durante todo o experimento. Aps o objeto deixar oplano e o bloco voltar posio de equilbrio, o decrscimo da altura submersa do bloco iguala:

(ITA - 2005 - 1 FASE ) Situa-se um objeto a uma distncia p diante de uma lente convergente de distncia focal f, de modo a obter uma imagem real a uma distncia p da lente. Considerando a condio de mnima distncia entre imagem e objeto, ento correto afirmar que:

(ITA - 2005 - 1 FASE )As questes de 8 a 10 referem-se ao seguinte trecho, extrado de uma entrevista: Cada uma das opes a seguir refere-se a um termo ou expresso extrados da entrevista. Assinale a opo em que o termo no corresponde ao significado explicitado.

(ITA - 2005) Considere as reaes representadas pelas equaes qumicas a seguir: O ndice positivo refere-se ao sentido da reao da esquerda para a direita e, o negativo, ao da direita para a esquerda. Sendo En energia de ativao e ∆H a variao de entalpia, so feitas as seguintes afirmaes, todas relativas s condies-padro: I. ∆H+3 = ∆H+1 + ∆H+2 II. ∆H+1 = - ∆H-1 III. En+3 = En+1 + En+2 IV. En+3 = - En-3 Das afirmaes acima est(o) CORRETA(S)

(ITA - 2005 - 1 FASE )Considere um prisma regular em que a soma dos ngulos internos de todas as faces 7 200. O nmero de vrtices deste prisma igual a