Physics

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### Question

#### A solid sphere of radius made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. Amassless piston of area A floats on the surface of the liquid. When a mass M is placed on the pisten to compress the liquid, the fractional change in the radius of the sphere is.....

#### The correct answer is:

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#### A solid cylindrical steel column is 4 m bong and 9 cm in diameter. . The decrease in kength of the column, while carrying a load of is..........

#### A solid cylindrical steel column is 4 m bong and 9 cm in diameter. . The decrease in kength of the column, while carrying a load of is..........

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#### A inform rod of length L and density P is bcing pulled along A smooth floor with a horizontal acceleration what is the magnitude of the stress at the trausverse cross-section through the midpoint of the rod ?

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#### Six ‘X's have to be placed in the square of the figure such that each row contains at least one X. In how many different ways can this be done

In all, we have 8 squares in which have to be placed and it can be done in ways.

But this includes the possibility that either the top horizontal row does not have any or the bottom horizontal has no . Since we want each row must have at least one , these two possibilities are to be excluded. Hence required number of ways are .

But this includes the possibility that either the top horizontal row does not have any or the bottom horizontal has no . Since we want each row must have at least one , these two possibilities are to be excluded. Hence required number of ways are .

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In all, we have 8 squares in which have to be placed and it can be done in ways.

But this includes the possibility that either the top horizontal row does not have any or the bottom horizontal has no . Since we want each row must have at least one , these two possibilities are to be excluded. Hence required number of ways are .

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#### Two rods of different materials having coefficients of thermal expansions and Young's moduli respectively are fixed between two rigid walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rod. if the thermal stresses developed in the rod are equal provided equals.

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#### The Miller indicate of the four planes shown in the figure below:

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