[別館]球面倶楽部零八式markIISR

東大入試数学中心。解説なので解答としては不十分。出題年度で並ぶようにしている。大人の解法やうまい解法は極めて主観的に決めている。

数学問題

1912年(明治45年)東京帝國大學工科大學(數學2問)

[1] (物理學)An object at a distance of 2 inches from a convex lens has its image magnified three times. What is the focal length of the lens?[2] (物理學)What different phenomena would be observed if the following substances be braught …

1911年(明治44年)東京帝國大學工科大學(數學1問)

[1] (物理學)A cubic meter of air is heated under the normal atomospheric pressure until its volume is doubled. How much of the heat supplied to it is converted into external work.[2] (物理學)Explain how the velocity of sound in air var…

1910年(明治43年)東京帝國大學工科大學(數學2問)

[1] (物理學)A short iron bar tube having one end sealed weights 2 kilogrammes and contains air of 3 litres and of ordinary temperature and pressure. The tube is made of to sink into sea water at the same temperature. If the specific grav…

1908年(明治41年)東京帝國大學工科大學(數學3問)

2019.02.25記[1] (物理學)A glass flask is filled with a mixture of ice and water, and a narrow tube with one india rubber stopper is filled into the neck as to force the water up to a certain height in the tube ; the flask is then immerse…

1907年(明治40年)東京帝國大學工科大學(數學1問)

2019.02.22記 [1](化學)Give an account of the chemistry of nitrogen and its compound.[2](數學)Find the area bounded by a straight line and the parabola . [3](英語)Translate the folowing passage into English:-- 工科大學に諸學科の實驗室…