On one side of a road of width $d$ metres there is a point of observation $P$ at a height $h$ metres from the ground. If a tree on the other side of the road, makes a right angle at $P$, height of the tree in metres is:

Q.
$A$ man observes a tower$AB$ of height $h$ from a point $P$ on the ground. He moves a distance $d$ towards the foot of the tower and finds that the angle of elevation is doubled. He further moves a distance $\frac{3d}{4}$ in the same direction and the angle of elevation is three times that at $P$. Then $\frac{h^2}{d^2}=$

Q. From a light house the angles of depression of two ships on opposite sides of the light house are observed to be 30° and 45°. If the height of the light house is h metres, the distance between the ships is

(a) $\left(\sqrt{3}+1\right)h\mathit{}metres$

(b) $\left(\sqrt{3}-1\right)h\mathit{}metres$

(c) $\sqrt{3}h\mathit{}metres$

(d) $1+\left(1+\frac{1}{\sqrt{3}}\right)hmetres$

Q. A cylindrical tank of height $H$ is completely filled with water. On its vertical side, there are two tiny holes, one above the middle at a height of $h_1$ and other below the middle at a depth of $h_2$. If the jets of water from the holes meet at the same point on the ground, then the ratio $\frac{h_1}{h_2}$ is

Q. For the given cell $P{t}_{D_2|D^{+}}||H^{+}|Pt|H_2$ if $E_{D_2|D^{\oplus }=0.003V}^{\ominus },$ what will be the ratio of $D^{\oplus }and{H}^{\oplus }at{25}^{\circ }C$ when he reaction: $D_2+2H^{\oplus }\to 2D^{\oplus }+H_2$ attains equilibrium :

Q. Assume that you have a sample of a gas containing $H_2,HD$ and $D_2$ that you want to separate into pure components $(H={}^{1}H\text{and}D={}^{2}H)$. What are the relative rates of diffusion of the three gases according to Graham’s law?