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Q.

(A) : Apparent weight of 1 kg of iron is equal to that of 1 kg of cotton in air 

(R) : Buoyant force on 1 kg of iron is lesser than Buoyant force on 1kg of cotton

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a

'A' is true and 'R' is false

b

Both 'A' and 'R' are true and 'R' is not the correct explanation of 'A'

c

Both 'A'  and 'R' are true and 'R' is the correct explanation of 'A'

d

'A' is false and 'R' is true

answer is D.

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Detailed Solution

Cotton has a far less density than iron. Therefore, 1 kg of cotton will have a substantially larger overall volume than 1 kg of iron. Consequently, 1 kg of cotton will move more air than 1 kg of iron.

Compared to iron, cotton will experience a stronger buoyant force since the weight of the fluid being displaced is the buoyant force. Higher the buoyant force, lower will be the apparent weight. 

Hence statement 'A' is false and 'R' is true.

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