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Moment of inertia of a sphere of mass  and radius  is . Keeping  constant if a graph is plotted between  and , then its form would be


Question ID - 53163 :-

Moment of inertia of a sphere of mass  and radius  is . Keeping  constant if a graph is plotted between  and , then its form would be


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Answer Key : (d) -


This relation shows that graph between  and  will be parabola symmetric to -axis

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Read the following case let carefully and answer the question that follow

Head of a nation on Nordic region was struggling with the slowing economy on one hand and restless citizens on other hand. In addition, his opponents were doing everything possible to discredit his government. As famous saying goes, ‘there is no smoke without a fire’, it cannot be said that the incumbent government was doing all the right things. There were reports of each acts of consumption had created a lot of problems for the government. It was being alleged that the government has given the right to exploit these public resources at throw away prices to some private companies. Some of the citizens were questioning the government policies in the supreme court as well as in the media. In the midst of all this, the head of the nation called his cabinet colleagues for a meeting on the recent happenings in the country.

He asked his minister of water resources about the bidding process for allocation of rights to up mini hydel power plants. To this, the minister replied that his ministry had followed the laid put polices of the government. Water resources were allocated to those private companies that bid the highest and were technically competent. The minister continues that later on some new companies had shown interest and they were allowed to enter the sector as per the guidelines of the government. This the minister added, the rights at the price set by the highest bidders in the previous round of bidding. After hearing this, the head of nation replied that one would expect the later allocations to be done after a fresh round of bidding. The minister of water resources replied that his ministry had taken permission from the concerned ministries before allocating  the resources to the new companies

Media reports suggested that the minister of eater resources had deliberately allocated the water resources at old prices to the new companies and in return some received kickbacks. However, the minister denied these charges. His counter argument was that he followed the stated polices of the government and it is very difficult to price a scare resource. He also said that the loss that the media is taking about is national and in reality the government and the citizens have gained by the entry of new players.

Which of the following is the most appropriate inference?


If benefit to the citizens is higher than national losses, then it is not unethical 


If benefit to the citizens is lower than national losses, then it is unethical


If benefit to the citizens is higher than actual losses, then it is not unethical


If  benefit to the citizens is lower than the actual losses, then it is unethical 

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