NEET Sample Paper NEET Sample Test Paper-15

  • question_answer A particle of mass m is resting on a wedge of angle \[\theta \] as shown in the figure. The wedge is given an acceleration a. What is the value of a so that the mass m just falls freely?

    A)  g                    

    B) \[g\,\cot \,\theta \]

    C) \[g\,\sin \theta \]                       

    D) \[g\,\tan \,\theta \]

    Correct Answer: B

    Solution :

    The acceleration a of the wedge should be such that in the time wedge moves distance BC, the particle must fall through a distance AB under gravity. Hence, \[BC=\frac{1}{2}a{{t}^{2}}\]and \[AB=\frac{1}{2}g{{t}^{2}}.\] \[\tan \theta =\frac{AB}{BC}=\frac{g}{a}or\,a=g\cot \theta \] Hence, the correction option is [b].

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