question_answer

Mercury is poured in a U tube. Level of mercury on one side is \[{{h}_{1}}\] at temperature \[\text{5}{{\text{0}}^{\text{o}}}\text{C}\] and level of mercury on the other side is \[{{h}_{2}}\] at temperature \[\text{10}{{\text{0}}^{\text{o}}}\text{C}\] Then

A) \[{{h}_{1}}={{h}_{2}}\]                     

B) \[{{h}_{1}}<{{h}_{2}}\]

C) \[{{h}_{1}}>{{h}_{2}}\]         

D) \[{{h}_{2}}=2{{h}_{1}}\]

Correct Answer: C

Solution :

Density of liquid decreases with increase in temperature and h\[h\alpha \,\frac{1}{p}\]Hence level \[f'\left( x \right)={{e}^{x}}\left( x-1 \right)\left( x-2 \right)<0\] will be more than \[{{h}_{1}}\]