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Question

A brass sphere weighs 100 gm.wt in air. It is suspended by a thread in a liquid of specific gravity =0.8. If the specific gravity of brass is 8, the tension in the thread in newtons is :

A
0.0882
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B
8.82
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C
0.882
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D
0.00882
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Solution

The correct option is C 0.882
Given,

m=100gm=0.1kg mass of brass

dl=0.8, density of liquid

db=8

g=9.8m/s2

From the free body diagram,

mg=T+Fb. . . .(1)

Lets consider

V= volume of liquid

dl=mV

and Fb=Vdlg thrust in liquid

from equation (1)

mg=T+Vdlg

T=mgVdlg=mgVdbdbdlg

T=mg(1dldb)

T=0.1×9.8(10.88)

T=0.882N

The correct option is C.

1425978_1064315_ans_39ee3a32eebf42998e3387d8f86bc963.png

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