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in Physics by (69.7k points)

A cubical solid block is floating in a liquid as shown. Submerged length of block and height of liquid in the container are a and b respectively 

Column-I Column-II
(A) If the container is moved downwards with constant acceleration less than g (p) Buoyant force on the block remains unchanged 
(B) If temperature of the system is increased (assuming that thermal expansion coefficient of blocks and container material is negligible compared to that of liquid and the block still floats) (q) Buoyant force on the block decreases 
(C) If the liquid is replaced by another liquid of higher specific gravity but same mass (r) a increases
(D) If the block is replaced by another block of same dimension but lesser density (s) a decreases
(t) b decreases

1 Answer

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Best answer

Correct option: (A)  q ; (B)  p, r ; (C)  p, s, t ; (D)  q, s, t

Explanation:

(A) B = mg

(B) B = mg for floatation (same)

one heating ρliquid decreases, so a increases.

(C) B = mg for flotation (same)

At ρliquid increases, a decreases from expression in (B). Also, volume occupied by liquid & therefore b decreases.

(D) From expression in (B), a decreases and as submerged volume decreases b also decreases.

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