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Q.

A block of mass 4 kg and volume 5×10^–4 m³is suspended by a spring balance in a lift which is accelerating. The apparent weight shown by the spring balance is 3 kg. Now the block is immersed in water in container inside the lift. The apparent weight in kg shown by the spring balance is

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a

3.125

b

2.5

c

2.625

d

2.375

answer is C.

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Detailed Solution

In accelerating lift , $T = m (g - a) = 3 g$ ............. (i)
From equation (i); $(g - a) = \frac{3}{4} g$ ............. (ii)
When immersed in water, $T' = (m - Vd) (g - a)$ ............. (iii)
From equation (ii) and (iii)
$T' = (4 - 5 \times 10^{- 4} \times 10^{3}) (\frac{3}{4}) g = 2.625 kgwt$

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A block of mass 4 kg and volume 5×10–4 m3 is suspended by a spring balance in a lift which is accelerating. The apparent weight shown by the spring balance is 3 kg. Now the block is immersed in water in container inside the lift. The apparent weight in kg shown by the spring balance is