Question

A spring balance reads `W_(1)` when a ball is suspended from it. A weighing machine reads `W_(2)` when a tank of liquid is kept on it. When the ball is immersed in the liquid, the spring balance reads `W_(3)` and the weighing machine reads `W_(4)`. Then, which of the following are not correct?
A. `W_(1)ltW_(3)`
B. `W_(1)ltW_(3)`
C. `W_(2)ltW_(4)`
D. `W_(2)gtW_(4)`

Answer 1

Correct Answer - A::B::D
`W_(1), W_(3)` are the forces exerted by the ball and the spring balance on each other before and after immersion. `W_(2),W_(4) ` are the forces exerted by the tank and the weighing machine on each other before and after immersion.

Let `m` and `M` be the same masses of the ball and the tank, respectively, and let `N` be the forces of interacton betwen the ball and the liquid in the tank
`W_(1)=mg`
`W_(2)=Mg`
`W_(3)=N=mg`
`W_(4)=N+Mg`