Question

A metallic sphere weighing 3 kg in air is held by a
string so as to be completely immersed in a liquid of
relative density 0.8. The relative density of metallic
is 10. The tension in the string is
(1) 18.7 N
(2) 42.5 N
(3) 32.7N
(4) 27.6N
​

Answer 1

Hyy Dude

This question is about equilibrium through which we could find the tension in the string. Equilibrium is a type of condition in which all the forces are balanced in a given system or surrounding.

In this question, we have been given a mass where four forces which are balanced. We will be using the condition of equilibrium.

Weight=m=3kg

Density=ρ=0.8

Relativedensity=σ=10

Tension of the string=T

Taking gravitational force=g=10

For equilibrium :

T+Fₐ=Weight

Here,

F

a

=ρ×V×g

Weight=σ×V×g

now,

T=V×g×[1−(σ/ρ)]

T=m×g×[1−(σ/ρ)]

T=3×10×[1−(0.8/10)]

T=30×0.92

T=27.6Newtons

Hence,

option D is correct answer.

Hope it's helps you

Answer 2

Answer:

27.6N

Explanation:

consider all the forces acting to be at equilibrium.

refer the attachment.

.

hope this helps :)