Elastic Potential Energy in a Stretched Wire
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369911 If the work done in stretching a wire by \(1\;\,mm\) is \(2\;\,J\), the work necessary for stretching another wire of same material but with double the radius of cross-section and half the length by \(1\;\,mm\) is

1 \(4 J\)
2 \(\dfrac{1}{4} J\)
3 \(16 J\)
4 \(8 J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369912 The increase in energy of a metal bar of length \(L\) and cross - sectional area \(A\) when compressed with a load \(F\) along its length is (where, \(Y = \) Young's modulus of the material of metal bar)

1 \(\dfrac{F L}{2 A Y}\)
2 \(\dfrac{F^{2} L}{2 A Y}\)
3 \(\dfrac{F L}{A Y}\)
4 \(\dfrac{F^{2} L^{2}}{2 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369913 Statement A :
Identical springs of steel and copper are equally stretched. More work will be done on the steel spring
Statement B :
Steel is more elastic than copper.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369914 A catapult has rubber cord of length \(10\;cm\) and cross-sectional area \(20\;m{m^2}.\) It is stretched by \(4\;cm\) to project a pebble of \(10\;g.\) Find velocity (in \(m{\rm{/}}s\)) of the pebble just after its launch is
(\({Y_{rubber{\rm{ }}}} = {10^8}\;N{\rm{/}}{m^2}\) and \(\sqrt 2 = 1.41\))

1 \(75.2\,m/s\)
2 \(56.4\,m/s\)
3 \(33.6\,m/s\)
4 \(22.6\,m/s\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369911 If the work done in stretching a wire by \(1\;\,mm\) is \(2\;\,J\), the work necessary for stretching another wire of same material but with double the radius of cross-section and half the length by \(1\;\,mm\) is

1 \(4 J\)
2 \(\dfrac{1}{4} J\)
3 \(16 J\)
4 \(8 J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369912 The increase in energy of a metal bar of length \(L\) and cross - sectional area \(A\) when compressed with a load \(F\) along its length is (where, \(Y = \) Young's modulus of the material of metal bar)

1 \(\dfrac{F L}{2 A Y}\)
2 \(\dfrac{F^{2} L}{2 A Y}\)
3 \(\dfrac{F L}{A Y}\)
4 \(\dfrac{F^{2} L^{2}}{2 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369913 Statement A :
Identical springs of steel and copper are equally stretched. More work will be done on the steel spring
Statement B :
Steel is more elastic than copper.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369914 A catapult has rubber cord of length \(10\;cm\) and cross-sectional area \(20\;m{m^2}.\) It is stretched by \(4\;cm\) to project a pebble of \(10\;g.\) Find velocity (in \(m{\rm{/}}s\)) of the pebble just after its launch is
(\({Y_{rubber{\rm{ }}}} = {10^8}\;N{\rm{/}}{m^2}\) and \(\sqrt 2 = 1.41\))

1 \(75.2\,m/s\)
2 \(56.4\,m/s\)
3 \(33.6\,m/s\)
4 \(22.6\,m/s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369911 If the work done in stretching a wire by \(1\;\,mm\) is \(2\;\,J\), the work necessary for stretching another wire of same material but with double the radius of cross-section and half the length by \(1\;\,mm\) is

1 \(4 J\)
2 \(\dfrac{1}{4} J\)
3 \(16 J\)
4 \(8 J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369912 The increase in energy of a metal bar of length \(L\) and cross - sectional area \(A\) when compressed with a load \(F\) along its length is (where, \(Y = \) Young's modulus of the material of metal bar)

1 \(\dfrac{F L}{2 A Y}\)
2 \(\dfrac{F^{2} L}{2 A Y}\)
3 \(\dfrac{F L}{A Y}\)
4 \(\dfrac{F^{2} L^{2}}{2 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369913 Statement A :
Identical springs of steel and copper are equally stretched. More work will be done on the steel spring
Statement B :
Steel is more elastic than copper.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369914 A catapult has rubber cord of length \(10\;cm\) and cross-sectional area \(20\;m{m^2}.\) It is stretched by \(4\;cm\) to project a pebble of \(10\;g.\) Find velocity (in \(m{\rm{/}}s\)) of the pebble just after its launch is
(\({Y_{rubber{\rm{ }}}} = {10^8}\;N{\rm{/}}{m^2}\) and \(\sqrt 2 = 1.41\))

1 \(75.2\,m/s\)
2 \(56.4\,m/s\)
3 \(33.6\,m/s\)
4 \(22.6\,m/s\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369911 If the work done in stretching a wire by \(1\;\,mm\) is \(2\;\,J\), the work necessary for stretching another wire of same material but with double the radius of cross-section and half the length by \(1\;\,mm\) is

1 \(4 J\)
2 \(\dfrac{1}{4} J\)
3 \(16 J\)
4 \(8 J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369912 The increase in energy of a metal bar of length \(L\) and cross - sectional area \(A\) when compressed with a load \(F\) along its length is (where, \(Y = \) Young's modulus of the material of metal bar)

1 \(\dfrac{F L}{2 A Y}\)
2 \(\dfrac{F^{2} L}{2 A Y}\)
3 \(\dfrac{F L}{A Y}\)
4 \(\dfrac{F^{2} L^{2}}{2 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369913 Statement A :
Identical springs of steel and copper are equally stretched. More work will be done on the steel spring
Statement B :
Steel is more elastic than copper.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369914 A catapult has rubber cord of length \(10\;cm\) and cross-sectional area \(20\;m{m^2}.\) It is stretched by \(4\;cm\) to project a pebble of \(10\;g.\) Find velocity (in \(m{\rm{/}}s\)) of the pebble just after its launch is
(\({Y_{rubber{\rm{ }}}} = {10^8}\;N{\rm{/}}{m^2}\) and \(\sqrt 2 = 1.41\))

1 \(75.2\,m/s\)
2 \(56.4\,m/s\)
3 \(33.6\,m/s\)
4 \(22.6\,m/s\)