NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI03:MOTION IN A STRAIGHT LINE
362239
A meter scale is given along a path, as shown in the diagram. A point object starts from \(O,\) moves to \(B,\) then turns back and reaches at point \(C.\) Choose the correct option.
1 Displacement of object is \({-10 \hat{i} m}\).
2 Displacement of object is \({-50 \hat{i} m}\).
3 Distance covered by object is \(80\,m\).
4 Position vector of \({C}\) with respect to \({A}\) is \({-10 \hat{i} m}\).
Explanation:
Displacement is \({\overrightarrow{O C}=-10 \hat{i}}\) Distance is \({=O B+B O+O C=90 {~m}}\) Position vector of \({C}\) with respect to \({A}\) is \({\overrightarrow{A C}=10 \hat{i}}\)
PHXI03:MOTION IN A STRAIGHT LINE
362240
A cyclist starts from the point \(P\) of a circular ground of radius \(2\,\,km\) and travels along its circumference to the point \(S\). The displacement of a cyclist is
362241
The displacement of car in moving from \(O\) to \(P\) and its displacement in moving from \(P\) to \(Q\) are
1 \( + 360\;m\,\,{\rm{and }} - 120\;m\)
2 \( - 120\,m\,\,{\rm{and}}\,\, + 360\,m\)
3 \( + 360\;m\,\,{\rm{and }} + 120\;m\)
4 \( + 360\;m\,\,{\rm{and }} - 600\;m\)
Explanation:
Displacement \(=\Delta x=x_{2}-x_{1}\) For journey, displacement of car moving from \(O\) to \(P\), \({x_2} = + 360\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = 0\,m\) \( \Rightarrow \Delta x = {x_2} - {x_1} = 360 - 0 = + 360\,m\) For journey, displacement in moving from \(P\) to \(Q\) \({x_2} = + 240\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = + 360\,m\) \( \Rightarrow = \Delta x = {x_2} - {x_1} = 240 - 360 = - 120\,m\) Here, -ve sign implies that the displacement is in -ve direction i.e., towards left.
PHXI03:MOTION IN A STRAIGHT LINE
362242
An athlete runs along a circular track of diameter \(80\,m\). The distance travelled and the magnitude of displacement of the athlete when he covers \({\frac{3}{4}^{th}}\) of the circle is (in \({m}\) )
362239
A meter scale is given along a path, as shown in the diagram. A point object starts from \(O,\) moves to \(B,\) then turns back and reaches at point \(C.\) Choose the correct option.
1 Displacement of object is \({-10 \hat{i} m}\).
2 Displacement of object is \({-50 \hat{i} m}\).
3 Distance covered by object is \(80\,m\).
4 Position vector of \({C}\) with respect to \({A}\) is \({-10 \hat{i} m}\).
Explanation:
Displacement is \({\overrightarrow{O C}=-10 \hat{i}}\) Distance is \({=O B+B O+O C=90 {~m}}\) Position vector of \({C}\) with respect to \({A}\) is \({\overrightarrow{A C}=10 \hat{i}}\)
PHXI03:MOTION IN A STRAIGHT LINE
362240
A cyclist starts from the point \(P\) of a circular ground of radius \(2\,\,km\) and travels along its circumference to the point \(S\). The displacement of a cyclist is
362241
The displacement of car in moving from \(O\) to \(P\) and its displacement in moving from \(P\) to \(Q\) are
1 \( + 360\;m\,\,{\rm{and }} - 120\;m\)
2 \( - 120\,m\,\,{\rm{and}}\,\, + 360\,m\)
3 \( + 360\;m\,\,{\rm{and }} + 120\;m\)
4 \( + 360\;m\,\,{\rm{and }} - 600\;m\)
Explanation:
Displacement \(=\Delta x=x_{2}-x_{1}\) For journey, displacement of car moving from \(O\) to \(P\), \({x_2} = + 360\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = 0\,m\) \( \Rightarrow \Delta x = {x_2} - {x_1} = 360 - 0 = + 360\,m\) For journey, displacement in moving from \(P\) to \(Q\) \({x_2} = + 240\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = + 360\,m\) \( \Rightarrow = \Delta x = {x_2} - {x_1} = 240 - 360 = - 120\,m\) Here, -ve sign implies that the displacement is in -ve direction i.e., towards left.
PHXI03:MOTION IN A STRAIGHT LINE
362242
An athlete runs along a circular track of diameter \(80\,m\). The distance travelled and the magnitude of displacement of the athlete when he covers \({\frac{3}{4}^{th}}\) of the circle is (in \({m}\) )
362239
A meter scale is given along a path, as shown in the diagram. A point object starts from \(O,\) moves to \(B,\) then turns back and reaches at point \(C.\) Choose the correct option.
1 Displacement of object is \({-10 \hat{i} m}\).
2 Displacement of object is \({-50 \hat{i} m}\).
3 Distance covered by object is \(80\,m\).
4 Position vector of \({C}\) with respect to \({A}\) is \({-10 \hat{i} m}\).
Explanation:
Displacement is \({\overrightarrow{O C}=-10 \hat{i}}\) Distance is \({=O B+B O+O C=90 {~m}}\) Position vector of \({C}\) with respect to \({A}\) is \({\overrightarrow{A C}=10 \hat{i}}\)
PHXI03:MOTION IN A STRAIGHT LINE
362240
A cyclist starts from the point \(P\) of a circular ground of radius \(2\,\,km\) and travels along its circumference to the point \(S\). The displacement of a cyclist is
362241
The displacement of car in moving from \(O\) to \(P\) and its displacement in moving from \(P\) to \(Q\) are
1 \( + 360\;m\,\,{\rm{and }} - 120\;m\)
2 \( - 120\,m\,\,{\rm{and}}\,\, + 360\,m\)
3 \( + 360\;m\,\,{\rm{and }} + 120\;m\)
4 \( + 360\;m\,\,{\rm{and }} - 600\;m\)
Explanation:
Displacement \(=\Delta x=x_{2}-x_{1}\) For journey, displacement of car moving from \(O\) to \(P\), \({x_2} = + 360\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = 0\,m\) \( \Rightarrow \Delta x = {x_2} - {x_1} = 360 - 0 = + 360\,m\) For journey, displacement in moving from \(P\) to \(Q\) \({x_2} = + 240\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = + 360\,m\) \( \Rightarrow = \Delta x = {x_2} - {x_1} = 240 - 360 = - 120\,m\) Here, -ve sign implies that the displacement is in -ve direction i.e., towards left.
PHXI03:MOTION IN A STRAIGHT LINE
362242
An athlete runs along a circular track of diameter \(80\,m\). The distance travelled and the magnitude of displacement of the athlete when he covers \({\frac{3}{4}^{th}}\) of the circle is (in \({m}\) )
362239
A meter scale is given along a path, as shown in the diagram. A point object starts from \(O,\) moves to \(B,\) then turns back and reaches at point \(C.\) Choose the correct option.
1 Displacement of object is \({-10 \hat{i} m}\).
2 Displacement of object is \({-50 \hat{i} m}\).
3 Distance covered by object is \(80\,m\).
4 Position vector of \({C}\) with respect to \({A}\) is \({-10 \hat{i} m}\).
Explanation:
Displacement is \({\overrightarrow{O C}=-10 \hat{i}}\) Distance is \({=O B+B O+O C=90 {~m}}\) Position vector of \({C}\) with respect to \({A}\) is \({\overrightarrow{A C}=10 \hat{i}}\)
PHXI03:MOTION IN A STRAIGHT LINE
362240
A cyclist starts from the point \(P\) of a circular ground of radius \(2\,\,km\) and travels along its circumference to the point \(S\). The displacement of a cyclist is
362241
The displacement of car in moving from \(O\) to \(P\) and its displacement in moving from \(P\) to \(Q\) are
1 \( + 360\;m\,\,{\rm{and }} - 120\;m\)
2 \( - 120\,m\,\,{\rm{and}}\,\, + 360\,m\)
3 \( + 360\;m\,\,{\rm{and }} + 120\;m\)
4 \( + 360\;m\,\,{\rm{and }} - 600\;m\)
Explanation:
Displacement \(=\Delta x=x_{2}-x_{1}\) For journey, displacement of car moving from \(O\) to \(P\), \({x_2} = + 360\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = 0\,m\) \( \Rightarrow \Delta x = {x_2} - {x_1} = 360 - 0 = + 360\,m\) For journey, displacement in moving from \(P\) to \(Q\) \({x_2} = + 240\,m\;\;\;{\mkern 1mu} {\kern 1pt} {x_1} = + 360\,m\) \( \Rightarrow = \Delta x = {x_2} - {x_1} = 240 - 360 = - 120\,m\) Here, -ve sign implies that the displacement is in -ve direction i.e., towards left.
PHXI03:MOTION IN A STRAIGHT LINE
362242
An athlete runs along a circular track of diameter \(80\,m\). The distance travelled and the magnitude of displacement of the athlete when he covers \({\frac{3}{4}^{th}}\) of the circle is (in \({m}\) )