A) \[\frac{\frac{1}{2}\alpha t\times 864000}{1-\frac{\alpha t}{2}}\]
B) \[\frac{1}{2}\alpha t\times 86400\]
C) \[\frac{\frac{1}{2}\alpha t\times 86400}{{{\left( 1-\frac{\alpha t}{2} \right)}^{2}}}\]
D) \[\frac{\frac{1}{2}\alpha t\times 86400}{1-\frac{\alpha t}{2}}\]
Correct Answer: B
Solution :
Loss in time per second \[\frac{\Delta T}{T}=\frac{1}{2}\,\alpha \Delta \theta =\frac{1}{2}\alpha (t-0)\] Loss in time per day \[\Delta t=\left( \frac{1}{2}\alpha t \right)t=\frac{1}{2}\alpha t\times (24\times 60\times 60)\] \[=\,\,\,\frac{1}{2}\alpha t\times 86400\]You need to login to perform this action.
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