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Q.

Due to thermal expansion with rise in temperature
    a)    Metallic scale reading becomes lesser than true value
    b)    Pendulum clock goes fast
    c)    A floating body sinks a little more
    d)    The weight of a body in a liquid increases

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a

only (a) is correct   

b

(a) & (b) are correct

c

(a), (b) & (d) are correct

d

(a), (c) & (d) are correct   

answer is D.

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Detailed Solution

(A) Due to heating, length of each subdivision of a metal scale increases. As a result measured length will be less than true length. 

(B) Time period of a pendulum clock is: T = 2πLg. Due to heating L increases and so T increases and hence the clock will go slow.

(C) Buoyant force, B = ρLVLg. Due to rise in temperature ρLdecreases. Since weight of the body remains the same, for a floating body, volume of displaced liquid (vl) must increase and the body will sink.

(D) For a completely submerged body, buoyant force at temperature t is:
Bt=Bo1δlδsΔt. Since, δl>δs, we conclude Bt < Bo. Hence weight of the body in the liquid increases.

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