A) \[T={{t}_{1}}+{{t}_{2}}\]
B) \[{{T}^{2}}=t_{1}^{2}+t_{2}^{2}\]
C) \[{{T}^{-1}}=t_{1}^{-1}+t_{2}^{-1}\]
D) \[{{T}^{-2}}=t_{2}^{-2}+t_{2}^{-2}\]
Correct Answer: B
Solution :
[b] Time period of spring |
k, being the force constant of spring. |
For first spring ...(i) |
For second spring |
...(ii) |
The effective force constant in their series combination of springs is |
Time period of combination |
..(iii) |
From Eqs. (i) and (ii), we obtain |
[from Eq. (iii)] |
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