1909年(明治42年)東京帝國大學工科大學(數學2問)

[1] （物理學）State clearly what distinction you would draw between mass and weight.

[2] （物理學）A current is passed through a wire of 10 ohms resistance and the difference of potential between its extremities is 100 volts. Find how many litres of air at the atmospheric pressure may be heated from to by the heat developed in the wire in one hour.
N.B. Specific heat of air at constant pressure is 0.237 ; weight of one litre of air is 1.293 gram ; mechanical equivalent of heat is ergs.

[3] （化學）Give the formula and properties of the lead oxides.

[4] （化學）Give the names and formula of three examples of the esters of glycohol which are important in industries.

[5] （數學）The gas envelope of a divigible balloon has the form of a surface of revolution. The parts of the generating line are parabolas with their axis to the axis and their vertices at respectively. The part is a straight line parallel to the axis . Find the distance of the center of the enclosed volume from the middle point of the whole length and its lifting power in pounds when it is filled with hydrogen gas, the air weighing pounds and the hydrogen pounds per cubic ft.

[6] （數學）A man is at sea miles distant from the nearest point of a straight shore and he wishes to get to a place miles distant from the nearest point the road lying along the shore. He can row and walk. Find at what point he ought to land to get to this place in the minimum time, if he rows at miles per hour and walk at miles per hour.

[7] （英語）Translate the following passages into English.
蒸氣を利用して運動を起こす裝置は太古から案出せられて居たが何れも玩具の樣なるものであつた蒸氣力を實用に供したのは今から二百年ばかり前に Savery と云へる英國人が礦山内の水を排出する爲に蒸氣の壓力を利用したのが始めである。

[8] （英語） 伊太利 Messina の地震は左程激しいのではなかつたけれども家屋の破壊と人の死傷は實に非常であつた是は専ら建築の不完全に因るさうである。