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 :
| T = Time period |
| \[T\,\propto \,{{\ell }^{1/2}}\] |
| \[\frac{\Delta T}{T}=\frac{1}{2}\frac{\Delta \ell }{\ell }=\frac{1}{2}\alpha t;\] |
| \[\Delta T=\frac{1}{2}\alpha tT=\alpha t\] |
| Total loss \[=\frac{1}{2}\alpha t\times 86400\] |
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