A wooden block with a coin placed on its top, floats in water as shown in the figure.
The distances \(\mathrm{l}\) and \(\mathrm{h}\) are shown in the figure. After some time, the coin falls
into the water. Then,
(a) | \(\mathrm{l}\) decreases |
(b) | \(\mathrm{h}\) decreases |
(c) | \(\mathrm{l}\) increases |
(d) | \(\mathrm{h}\) increases |
Choose the correct alterative/s:
1. | (b), (c) |
2. | (a), (d) |
3. | (c), (d) |
4. | (a), (b) |
Two non-mixing liquids of densities \(\rho\) and \(n\rho\) \((n>1)\) are put in a container. The height of each liquid is \(h.\) A solid cylinder of length \(L\) and density \(d\) is put in this container. The cylinder floats with its axis vertical and length \(rL~(r<1))\) in the denser liquid. The density \(d\) is equal to:
1. \([2+(n+1)r ]\rho\)
2. \([2+(n-1)r] \rho\)
3. \([1+(n-1)r] \rho\)
4. \([1+(n+1)r ]\rho\)