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You are given a sphere of radius 2 cm. I...

You are given a sphere of radius 2 cm. If you are asked to select a best suited spring balance to determine its weight, then what should be the range and least count of the spring balance? (The density of the sphere is `7 xx 10^(3) kg m^(-3))`.

A

Range 0-1000 gwt,least count - 5gwt

B

Range 0-500 gwt,least count - 2.5gwt

C

Range 0-250 gwt,least count - 2.5gwt

D

Range 0-100 gwt,least count - 1.0gwt

Text Solution

Verified by Experts

The correct Answer is:
C
The density of the sphere `=7 xx 10^(3) kg m^(-3)`
`=7g cm^(-3)`
Volume of the sphere `=4/3 pir^(3)`
`=4/3 xx (22)/7xx(2)^(2) cm^(3)`
Now, mass `=VQ=[4/3 xx (22)/7xx8]xx7`
`approx 234.67g approx 234.74g`
So, the spring balance must have a range of 300g and the least cound should be 0.1g
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