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Q.

A spring balance reads w1 when a ball is suspended from it. A weighing machine reads w2 when a tank of liquid is kept on it. When the ball is immersed in tank, the spring balance reads w3 and the weighing machine reads w4. Then which of the following is correct

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a

w4>w2

b

w1>w3

c

w4<w2

d

w1<w3

answer is A, B.

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Detailed Solution

Let m be the mass of ball & M be the mass of tank then w1 = mg; w2 = Mg; w3 = mg - FB w4 = mg + FB As ball experiences an upward force FB the reading of spring balance will reduce ball exerts a reaction force FB on tank so reading of weighing machine increases. 
w4>w2; w1>w3

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