Question

A metallic block of density 5 gm $c{m}^{-3}$ and having dimensions 5 cm $\times$ 5 cm $\times$ 5 cm is weighed in water. Its apparent weight will be

• A. $5\times 5\times 5\times 5gf$
• B. $4\times 4\times 4\times 4gf$
• C. $5\times 4\times 4\times 4gf$
• D. $4\times 5\times 5\times 5gf$

Answer 1

The correct option is D

$4\times 5\times 5\times 5gf$

Apparent weight

$=V(\rho -\sigma )g=l\times b\times h\times (5-1)\times g$

$=(5\times 5\times 5\times 4\times g)$ dyne = $(4\times 5\times 5\times 5)gf$