1.

A steel ball of `50mm` radius is kept on a hole of concrete. The diameter of the hole is `0.05mm` less then the diameter of the steel ball at `20^(@)C`. Coefficient of volume expansion of the steel ball is `3.2x 10^(-6)//^(@)C` . At what temperature the ball will be inside the hole ?A. `30^(@)C`B. `55^(@)C`C. `65^(@)C`D. `70^(@)C`

Answer» Correct Answer - D
A steel ball ………..
`D_(s)-D_(H) = 0.05mm`
Where `D_(s)` is diameter of ball and `D_(H)` is diameter of ball hole. As we increase temperature
`D_(H)gtD_(s)` for ball to enter hole
`D_(H)(1+12xx10^(-6)DeltaDeltaT)-D_(s)(1+(3.2)/(3)xx10^(-6)Delta T)gt0`
`(12xx10^(-4)- (3.2)/(3)xx10^(-4))Delta Tgt0.05`
Given `Delta T gt 46^(@)`


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