A) \[30{}^\circ C;\,\alpha =1.85\times {{10}^{-3}}/{}^\circ C\]
B) \[55{}^\circ C;\,\alpha =1.85\times {{10}^{-2}}/{}^\circ C\]
C) \[25{}^\circ C;\,\alpha =1.85\times {{10}^{-5}}/{}^\circ C\]
D) \[60{}^\circ C;\,\alpha =1.85\times {{10}^{-4}}/{}^\circ C\]
Correct Answer: C
Solution :
Time lost / gained per day \[=\frac{1}{2}\alpha \Delta \theta \times 86400\] second \[12=-\alpha \left( 40-8 \right)\times 86400\] ....(i) \[4=-\alpha \left( \theta -20 \right)\times 86400\] ....(ii) On dividing we get, \[3=\frac{40-\theta }{\theta -20}\] \[36-60=40-\theta \] \[4\theta =100\Rightarrow \theta =25{}^\circ C\]You need to login to perform this action.
You will be redirected in
3 sec