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Question

# A body having volume V and density ρ is attached to the bottom of a container as shown. Density of the liquid is d (>ρ). Container has a constant upward acceleration a. Tension in the string is:

A
V[Dgρ(g+a)]
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B
V(g+a)(dρ)
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C
V(dρ)g
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D
none
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Solution

## The correct option is B V(g+a)(d−ρ)Note that the acceleration has an effect on both upthrust and weightWeight experienced by the mass =ρV(g+a)Upthrust experienced by the mass =dV(g+a)Tension experienced by the string =Upthrust−Weight=V(g+a)(d−ρ)

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