| ASSERTION: Time period of vibration of two magnets when like poles are in same direction (in a vibration magnetometer) is larger than the period of vibration when like poles are in different direction. |
| REASON: Moment of inertia increases in the same position. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: D
Solution :
The time period of vibration when like poles of two magnets are in same direction is given by, \[{{T}_{1}}=2\pi \sqrt{\frac{{{l}_{1}}+{{l}_{2}}}{\left( {{M}_{1}}+{{M}_{2}} \right){{B}_{H}}}}\] The time period when like poles are in opposite direction \[{{T}_{2}}=2\pi \sqrt{\frac{{{l}_{1}}+{{l}_{2}}}{\left( {{M}_{1}}-{{M}_{2}} \right){{B}_{H}}}}\] \[{{T}_{1}}<{{T}_{2}}\], this is because \[\left( {{M}_{1}}+{{M}_{2}} \right)>\left( {{M}_{1}}-{{M}_{2}} \right)\]
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