Consider the following statements
During the third stage of tool-wear, rapid deterioration of tool edge takes place because
$$1.$$ Flank wear is only marginal.
$$2.$$ Flank wear is large.
$$3.$$ Temperature of the tool increases gradually.
$$4.$$ Temperature of the tool increases drastically.

Which of the statements given above are correct?

The rake angle of a cutting tool is $${15^ \circ }$$, shear angle $${45^ \circ }$$ and cutting velocity $$35$$ $$m/min$$. What is the velocity of chip along the tool face?

Match List - $${\rm I}$$ with List - $${\rm I}$$$${\rm I}$$ and select the correct answer using the codes given below:

Consider the following statements
$$1.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases, the cost of production initially reduces, then
$$\,\,\,\,\,\,\,\,\,\,\,\,$$after an optimum cutting speed it increases.
$$2.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ As the cutting speed increases the cost of production also increases and
$$\,\,\,\,\,\,\,\,\,\,\,\,$$after a critical value to it reduces.
$$3.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ Higher feed rate for the same cutting speed reduces cost of production.
$$4.$$ $$\,\,\,\,\,\,\,\,\,\,\,\,$$ Higher feed rate for the same cutting speed increases the cost of production

Which of the statements given above are correct?