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Question: A wooden block of volume 1000 cm<sup>3</sup> is suspended from a spring balance. It weighs 12 N in a...

A wooden block of volume 1000 cm3 is suspended from a spring balance. It weighs 12 N in air. It is suspended in water such that half of the block is below the surface of water. The reading of the spring balance is

A

(a) 10 N

A

(b) 9 N

A

(c) 8 N

A

(d) 7 N

Explanation

Solution

(d)

Reading of the spring balance = Apparent weight of the block

= Actual weight – upthrust

=12Vinσg= 12 - V_{in}\sigma g

=12500×106×103×10=125=7N.= 12 - 500 \times 10^{- 6} \times 10^{3} \times 10 = 12 - 5 = 7N.