Solved papers for NEET Physics Vectors NEET PYQ-Vectors

done NEET PYQ-Vectors Total Questions - 13

• question_answer1) If a unit vector is represented by \[0.5\hat{i}+0.8\hat{j}+c\hat{k}\] the value of c is:                      [AIPMT 1999]
  A)
  1
  done clear
  B)
  \[\sqrt{0.11}\]
  done clear
  C)
  \[\sqrt{0.01}\]
  done clear
  D)
  0.39     
  done clear
  View Answer play_arrow

• question_answer2) If \[\vec{A}\] and \[\vec{B}\] are two vectors such that\[|\vec{A}+\vec{B}|\,=\,|\vec{A}-\vec{B}|,\] the angle between vectors \[\vec{A}\] and \[\vec{B}\] is: [AIPMT 2001]
  A)
  \[{{0}^{o}}\]
  done clear
  B)
  \[{{60}^{o}}\]
  done clear
  C)
  \[{{90}^{o}}\]
  done clear
  D)
  \[{{120}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer3) The vector sum of two forces is perpendicular to their vector differences. In that case, the forces: [AIPMT 2003]
  A)
  are not equal to each other in magnitude
  done clear
  B)
  cannot be predicted
  done clear
  C)
  are equal to each other
  done clear
  D)
  are equal to each other in magnitude
  done clear
  View Answer play_arrow

• question_answer4) If \[|\overset{\to }{\mathop{A}}\,\,\,\,\times \overset{\to }{\mathop{B}}\,|\,=\sqrt{3}\overset{\to }{\mathop{A\,}}\,.\overset{\to }{\mathop{B\,}}\,,\] then the value of \[\left| \text{A}+\text{B} \right|\] is:                                [AIPMT (S) 2004]
  A)
  \[{{({{A}^{2}}+{{B}^{2}}+AB)}^{1/2}}\]
  done clear
  B)
              \[{{\left( {{A}^{2}}+{{B}^{2}}+\frac{AB}{\sqrt{3}} \right)}^{1/2}}\]
  done clear
  C)
  \[A+B\]
  done clear
  D)
  \[{{({{A}^{2}}+{{B}^{2}}+\sqrt{3}AB)}^{1/2}}\]
  done clear
  View Answer play_arrow

• question_answer5) If a vector \[2\hat{i}+3\hat{j}+8\hat{k}\] is perpendicular to the vector \[4\hat{j}-4\hat{i}+\alpha \hat{k},\] then the value of a is: [AIPMT (S) 2005]
  A)
  -1
  done clear
  B)
  \[\frac{1}{2}\]
  done clear
  C)
  \[-\frac{1}{2}\]
  done clear
  D)
  1
  done clear
  View Answer play_arrow

• question_answer6) If the angle between the vectors \[\vec{A}\] and \[\vec{B}\] is \[\theta ,\] the value of the product \[(\vec{B}\times \vec{A}).\vec{A}\] is equal to: [AIPMT (S) 2005]
  A)
  \[B{{A}^{2}}\cos \theta \]
  done clear
  B)
  \[B{{A}^{2}}\sin \theta \]
  done clear
  C)
  \[B{{A}^{2}}\sin \theta \cos \theta \]
  done clear
  D)
  zero
  done clear
  View Answer play_arrow

• question_answer7) 

  The vectors \[\vec{A}\] and \[\vec{B}\] are such that a:

  \[\left| \vec{A}+\vec{B} \right|=\left| \vec{A}-\vec{B} \right|\]

  The angle between the two vectors is: [AIPMT (S) 2006]

  A)
  \[{{90}^{o}}\]
  done clear
  B)
  \[{{60}^{o}}\]
  done clear
  C)
  \[{{75}^{o}}\]
  done clear
  D)
  \[{{45}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer8) \[\vec{A}\] and \[\vec{B}\] are two vectors and \[\theta \] is the angle between them, if \[|\vec{A}\times \vec{B}|=\sqrt{3}\,(\vec{A}\,\centerdot \,\vec{B})\] the value of \[\theta \] is:                                      [AIPMT (S) 2007]
  A)
  \[{{60}^{o}}\]
  done clear
  B)
  \[{{45}^{o}}\]
  done clear
  C)
  \[{{30}^{o}}\]
  done clear
  D)
  \[{{90}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer9) 

  Six vectors \[\overset{\to }{\mathop{\mathbf{a}}}\,\] through \[\overset{\to }{\mathop{\mathbf{f}}}\,\] have the magnitudes and directions indicated in the figure. Which of the following statements is true? [AIPMT (S) 2010]

  A)
  \[\overset{\to }{\mathop{\mathbf{b}}}\,\,+\overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,\]
  done clear
  B)
  \[\overset{\to }{\mathop{\mathbf{d}}}\,\,+\overset{\to }{\mathop{\mathbf{c}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,\]       
  done clear
  C)
  \[\overset{\to }{\mathop{\mathbf{d}}}\,\,+\overset{\to }{\mathop{\mathbf{e}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,\]
  done clear
  D)
  \[\overset{\to }{\mathop{\mathbf{b}}}\,\,+\overset{\to }{\mathop{\mathbf{e}}}\,=\overset{\to }{\mathop{\mathbf{f}}}\,\]
  done clear
  View Answer play_arrow

• question_answer10) If vectors \[A=\cos \omega t+\hat{i}+\sin \omega t\,\hat{j}\] and\[B=\cos \frac{\omega t}{2}\hat{i}+\sin \frac{\omega t}{2}\hat{j}\] are functions of time, then the value of t at which they are orthogonal to each other                                [NEET 2015 (Re)]
  A)
  \[t=\frac{\pi }{4\omega }\]
  done clear
  B)
  \[t=\frac{\pi }{2\omega }\]
  done clear
  C)
  \[t=\frac{\pi }{\omega }\]
  done clear
  D)
  \[t=0\]
  done clear
  View Answer play_arrow

• question_answer11) Two particles A and B, move with constant velocities \[{{v}_{1}}\] and \[{{v}_{2}}\]. At the initial moment, their position vectors are \[{{r}_{1}}\] and \[{{r}_{2}}\] respectively. The condition for particles A and B for their collision is   [NEET 2015 (Re)]
  A)
  \[\frac{{{r}_{1}}-{{r}_{2}}}{\left| {{r}_{1}}-{{r}_{2}} \right|}=\frac{{{v}_{2}}-{{v}_{1}}}{\left| {{v}_{3}}-{{v}_{1}} \right|}\]
  done clear
  B)
  \[{{r}_{1}}\cdot {{v}_{1}}={{r}_{2}}\cdot {{v}_{2}}\]
  done clear
  C)
  \[{{r}_{1}}\times {{v}_{1}}={{r}_{2}}\times {{v}_{2}}\]
  done clear
  D)
  \[{{r}_{1}}-{{r}_{2}}={{v}_{1}}-{{v}_{2}}\]
  done clear
  View Answer play_arrow

• question_answer12) If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is       [NEET - 2016]
  A)
  \[{{0}^{o}}\]  
  done clear
  B)
  \[{{90}^{o}}\]
  done clear
  C)
  \[{{45}^{o}}\]
  done clear
  D)
  \[{{180}^{o}}\]
  done clear
  View Answer play_arrow

• question_answer13) A gas mixture consists of 2 moles of \[{{O}_{2}}\] and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is                                  [NEET-2017]
  A)
  \[11\,\,RT\]
  done clear
  B)
  \[4\,RT\]
  done clear
  C)
  \[15\,RT\]
  done clear
  D)
  \[9\,RT\]
  done clear
  View Answer play_arrow