1916年(大正5年)東京帝國大學工科大學(數學1問) - [別館]球面倶楽部零八式markIISR

[1] （物理學）A current of 10 ampares is allowed to flow for 10 minutes through a wire of 10 ohms resistance immersed in 1000 grammes of water at $0^{\circ}\mbox{C}$ . What will be the final state of water?

[2]（化學）Calculate out the nitrogen content in percentage by weight of the following substances, when they are pure and anhydrous, and compare the results taking the least as the standard.
(a) Ammonium sulphate.
(b) Ammonium nitrate.
(c) Sodium nitrate.
(d) Calcium cyanamide.

[3]（數學）Find the rate of increase of (i) the volume and (ii) the area of curved surface of a right circular cone whose height is 12 inches and diameter of the base 8 inches, and each is increasing at the rate of $\dfrac{1}{4}$ inch per. second.

[4]（力學）A perticle (whose mass is negligible) starting from an initial height $h$ feet from the ground projected vertically upward while subject to the influence of a horizontal wind of constant velocity $V$ feet per second and attains the maximum height $h_2$ feet in the journey of the particle to the ground. Find the horizontal distance traversed by the particle.