A solid sphere of density η ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by
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a
η−1η mg
b
ηmg
c
mgη−1
d
(η−1) mg
answer is D.
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Detailed Solution
Tension in spring T = upthrust – weight of sphere=Vσg−Vρg=Vηρg−Vρg ( As σ=ηρ)=(η−1)Vρg=(η−1)mg