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A pendulum clock loses 12 s a day if the...

A pendulum clock loses 12 s a day if the temperature is `40^(@)` and gains 4 s a day if the temperature is `20^(@)C`. The temperature at which the clock will show correct time, and the co-efficient of linear expansion `(alpha)` of the metal of the pendulum shaft are respectively :

A

`55^(@) C, alpha = 1.85 xx 10^(-2) //""^(@) C`

B

`25^(@) C , alpha = 1.85 xx 10^(-5)//""^(@) C`

C

`60^(@) C, alpha = 1.85 xx 10^(-4)//""^(@) C`

D

`30^(@) C, alpha = 1.85 xx 10^(-3) //""^(@) C`

Text Solution

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The correct Answer is:
B
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