A) \[{{\text{W}}_{\text{B}}}\text{}{{\text{W}}_{\text{A}}}\text{}{{\text{W}}_{\text{C}}}\]
B) \[{{\text{W}}_{\text{A}}}\text{}{{\text{W}}_{\text{B}}}\text{}{{\text{W}}_{\text{C}}}\]
C) \[{{\text{W}}_{\text{C}}}\text{}{{\text{W}}_{\text{B}}}\text{}{{\text{W}}_{\text{A}}}\]
D) \[{{\text{W}}_{\text{A}}}\text{}{{\text{W}}_{\text{C}}}\text{}{{\text{W}}_{\text{B}}}\]
Correct Answer: C
Solution :
[c] Work done required to bring them rest |
\[\Delta \text{W=}\Delta \text{KE}\] |
\[\Delta W=\frac{1}{2}|{{\omega }^{2}}\] |
\[\Delta W\propto \text{l}\] for same \[\omega \] |
\[{{\text{W}}_{\text{A}}}\text{:}{{\text{W}}_{\text{B}}}\text{:}{{\text{W}}_{\text{C}}}\text{=}\frac{\text{2}}{\text{5}}\text{M}{{\text{R}}^{\text{2}}}\text{:}\frac{\text{1}}{\text{2}}\text{M}{{\text{R}}^{\text{2}}}\text{:M}{{\text{R}}^{\text{2}}}\] |
\[\text{=}\frac{2}{5}:\frac{1}{2}:1\] |
\[=4:5:10\] |
\[\Rightarrow {{\text{W}}_{\text{C}}}\text{}{{\text{W}}_{\text{B}}}\text{}{{\text{W}}_{\text{A}}}\] |
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