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A metel block of volume 500 cm^(3) and d...

A metel block of volume 500 `cm^(3)` and density `2"g cm"^(-3)` is supended from a spring balance and one fourth of its volume is immersed in water. The reading on the spring balance is _______ N.

A

8.575

B

10.175

C

500

D

8.75

Text Solution

Verified by Experts

The correct Answer is:
D

Apparent weight = weight - upthrust
`=vdg-(v)/(4)xxd_(w)xxgvg(d-(d_(w))/(4))`
`=500xx10^(-6)xx10(2xx10^(3)-(1xx10^(3))/(4))`
`=500xx10^(-5)((8xx10^(3)-10^(3))/(4))=8.750` N
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