A) \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{H}_{1}}}{{{H}_{2}}} \right]}^{1/2}}\]
B) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{H}_{1}}}{{{H}_{2}}}\]
C) \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{M}_{1}}}{{{M}_{2}}} \right]}^{1/2}}\]
D) \[\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{M}_{1}}}{{{M}_{2}}}\]
Correct Answer: A
Solution :
Distance is independent of masses of the bodies \[{{H}_{1}}=\frac{1}{2}gT_{1}^{2}\]and \[{{H}_{2}}=\frac{1}{2}gT_{2}^{2}\] Hence, \[\frac{{{T}_{1}}}{{{T}_{2}}}={{\left[ \frac{{{H}_{1}}}{{{H}_{2}}} \right]}^{1/2}}\]You need to login to perform this action.
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