JEE Main & Advanced Physics Vectors Question Bank Critical Thinking

  • question_answer
    A particle moves towards east with velocity 5 m/s. After 10 seconds its direction changes towards north with same velocity. The average acceleration of the particle is                     [CPMT 1997; IIT-JEE 1982]

    A)             Zero                                          

    B)             \[\frac{1}{\sqrt{2}}\,m/{{s}^{2}}\,N-W\]

    C)             \[\frac{1}{\sqrt{2}}\,m/{{s}^{2}}\,N-E\]                                    

    D)              \[\frac{1}{\sqrt{2}}\,m/{{s}^{2}}\,S-W\]

    Correct Answer: B

    Solution :

                           \[\Delta v=2v\sin \left( \frac{\theta }{2} \right)=2\times 5\times \sin 45{}^\circ \]=\[\frac{10}{\sqrt{2}}\]             \ \[a=\frac{\Delta v}{\Delta t}=\frac{10/\sqrt{2}}{10}=\frac{1}{\sqrt{2}}\ m/{{s}^{2}}\]


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