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You are given marbles of diameter 10mm. ...

You are given marbles of diameter `10mm`. They are to be placed such that their centres are laying in a square bound by four lines each of length `40mm`. What will be the arrangements of marbles in a plane so that maximum number of marbles can be placed inside the area? Sketch the diagram and derive expression for the number of molecules per unit area.

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In the following passage some of the words have been left out. Read the passage carefully and choose the correct answer for the given blank at number 84 out of the four alternatives. We know that the average depth of the sea is about two and a half miles, but in a few places it is very deep indeed-over six miles. The air presses upon our bodies with a weight of about fifteen pounds to the square inch at 82 _________. We are used to this air pressure and 83. ________. In the sea this 84_______ is doubled at a depth of thirty-five feet, ant it 85. _______ at this rate for greater depths. In the great deeps 86. _______ on the Philippine Islands, a man would be squeezed and utterly crushed by a pressure of 87. _______ sheer tons per square inch. The pressure near the ocean floor is 88. ______ such great that if you were to weigh a piece of wood and 89. _______ it to a great depth and then pull it 90. ______ it would have become waterlogged. All the tiny wood cells and cavities 92. ____ have burst and become filled with water. We 93. _______ knowing that live at a depth of three miles and more and we wonder 94.______ this can be. The bodies of animals down 95. _______ are almost entirely filled with water, and 96. _______ saves them from being crushed. However, many of 97. _______ animals contain some gases as well, for 98. _______ they are captured in nets and drawn 99. ______ the surface these gases expand so much that the animal 100. ______ explodes. Its body is torn to shreds as it 101._____.

In the following passage some of the words have been left out. Read the passage carefully and choose the correct answer for the given blank at number 82 out of the four alternatives. We know that the average depth of the sea is about two and a half miles, but in a few places it is very deep indeed-over six miles. The air presses upon our bodies with a weight of about fifteen pounds to the square inch at 82 _________. We are used to this air pressure and 83. ________. In the sea this 84_______ is doubled at a depth of thirty-five feet, ant it 85. _______ at this rate for greater depths. In the great deeps 86. _______ on the Philippine Islands, a man would be squeezed and utterly crushed by a pressure of 87. _______ sheer tons per square inch. The pressure near the ocean floor is 88. ______ such great that if you were to weigh a piece of wood and 89. _______ it to a great depth and then pull it 90. ______ it would have become waterlogged. All the tiny wood cells and cavities 92. ____ have burst and become filled with water. We 93. _______ knowing that live at a depth of three miles and more and we wonder 94.______ this can be. The bodies of animals down 95. _______ are almost entirely filled with water, and 96. _______ saves them from being crushed. However, many of 97. _______ animals contain some gases as well, for 98. _______ they are captured in nets and drawn 99. ______ the surface these gases expand so much that the animal 100. ______ explodes. Its body is torn to shreds as it 101._____.

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