A \(20\) N metal block is suspended by a spring balance. A beaker containing some water is placed on a weighing machine which reads \(40\) N. The spring balance is now lowered so that the block gets immersed in the water. The spring balance now reads \(16\) N. The reading of the weighing machine will be:
1. \(36\) N
2. \(60\) N
3. \(44\) N
4. \(56\) N

Subtopic:  Archimedes' Principle |
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A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is completely immersed in the water, the force on the bottom of the vessel in contact with the cube:
1. will increase
2. will decrease
3. will remain the same
4. will become zero

Subtopic:  Archimedes' Principle |
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A solid floats in a liquid in a partially dipped position. Then,

(a) The solid exerts a force equal to its weight on the liquid.
(b) The liquid exerts a force of buoyancy on the solid which is equal to the weight of the solid.
(c) The weight of the displaced liquid equals the weight of the solid.
(d) The weight of the dipped part of the solid is equal to the weight of the displaced liquid

Choose the correct option:
1. (a), (b) and (c)
2. (b), (c) and (d)
3. (c), (d) and (a)
4. all of these

Subtopic:  Archimedes' Principle |
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The weight of an empty balloon on a spring balance is W1. The weight becomes W2 when the balloon is filled with air. Let the weight of the air itself be w. Neglect the thickness of the balloon when it is filled with air. Also neglect the difference in the densities of air inside and outside the balloon.

(a) W2 = W1

(b) W2 = W1 + w

(c) W2 < W1 + w

(d) W2 > W1

Choose the correct option:

1. (a) and (b)

2. (a) and (c)

3. (a) and (d)

4. (a), (b) and (c)

Subtopic:  Archimedes' Principle |
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A solid is completely immersed in a liquid. The force exerted by the liquid on the solid will

(a) increase if it is pushed deeper inside the liquid

(b) change if its orientation is changed

(c) decrease if it is taken partially out of the liquid

(d) be in the vertically upward direction

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. All of these

Subtopic:  Archimedes' Principle |
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