1913年(大正2年)東京帝國大學工科大學(數學2問) - [別館]球面倶楽部零八式markIISR

[1]（物理學）Give brief explanations of the following terms : ---
a. refrective index.
b. mechanical equivalent of heat.
c. electric resistance.

[2]（化學實驗）How are the following compound prepared ? Give their chief properties.
a. nitrogen monoxide (NO)
b. sodium peroxide (Na ${}_2$ O ${}_2$ )

[3]（數學）Evaluate $\displaystyle \int_{0}^{\pi} t\sin nt dt$ where $n$ is an integer.

[4]（數學）A man climbs a mountain. His rate of climbing. if measured vertically, is $\Bigl(1-0.49\dfrac{h^2}{H^2}\Bigr)$ shaku per second; where $h$ is his vertical elevation at an instant and $H$ the vertical height of the summit, both measured in shaku from his starting point. Supposing $H$ to be ten thousand shaku, find the time that he spends for the whole course from the starting point to be the summit. $\log_e 5.67=1.735$ .

[5]（力學）A winding drum of 3 ft. diameter driven by 10 horse powers is making 60 revolutions per minute, and a weightless winding rope pullus up a weight along a smooth inclined path parallel to the rope, in the same vertical plane with the drum, and making an angle $30^{\circ}$ with the horizontal. Given $\pi=3.14$ and 1 horse power $=33000$ ft. lbs per minute, find the weight that can be pulled up.
圖省略

[6]（和文英譯） (a) 君は一体何科を志望したのだ。
(b) 競争試験はどうも閉口だねー。
(c) 試験後の休暇はどうして暮す積りか。
(d) T.Y.K式無線電話は昨年来東京横浜間で試験中であったが距離四十哩以内ならば大丈夫だったと云ふことが分かったので公衆用に供することになつたさうだ。

1913年(大正2年)東京帝國大學工科大學-化實 - [別館]球面倶楽部零八式markIISR

1913年(大正2年)東京帝國大學工科大學-數學[3] - [別館]球面倶楽部零八式markIISR
1913年(大正2年)東京帝國大學工科大學-數學[4] - [別館]球面倶楽部零八式markIISR

1913年(大正2年)東京帝國大學工科大學-和文英譯 - [別館]球面倶楽部零八式markIISR