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A small sphere of density \(\rho\) is completely submerged in a liquid of density \(3\rho\) and released. The magnitude of its acceleration just after release equals:
1. \(g\)
2. \(\dfrac{g}{3}\)
3. \(2g\)
4. \(3g\)
Subtopic:  Archimedes' Principle |
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A wooden block with a coin placed on its top, floats in water as shown in the figure.

      

The distances \(l\) and \(h\) are shown in the figure. After some time, the coin falls
into the water. Then,

(a) \(l\) decreases
(b) \(h\) decreases
(c) \(l\) increases
(d) \(h \) increases

Choose the correct alterative/s:

1. (b), (c)
2. (a), (d)
3. (c), (d)
4. (a), (b)

Subtopic:  Archimedes' Principle |
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Level 3: 35%-60%
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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. \([1+(n+1)r ]\rho\)

Subtopic:  Archimedes' Principle |
 66%
Level 2: 60%+
NEET - 2016
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