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NEET Sample Paper NEET Sample Test Paper-76

  • question_answer
    Two particles 1 and 2 of masses \[{{M}_{1}}\,\,and\,\,{{M}_{2}}\] respectively enter in a uniform magnetic field as shown in figure. If \[{{v}_{1}}\,\,and\,\,{{v}_{2}}\] are their respective velocities then (assume both particles have same charge)

    A)  \[{{M}_{1}}{{v}_{1}}<{{M}_{2}}{{v}_{2}}\]          

    B)  \[{{M}_{1}}{{v}_{1}}>{{M}_{2}}{{v}_{2}}\]

    C)  \[{{M}_{1}}{{v}_{1}}={{M}_{2}}{{v}_{2}}\]          

    D)  None of these

    Correct Answer: B

    Solution :

    If R be the radius of a particle of mass M and charge q moving with velocity v perpendicular to a uniform magnetic field B given as then \[\frac{M{{V}^{2}}}{R}=qvB\] \[\Rightarrow \,\,\,\,\,MV=qRB\] \[\therefore \,\,\,\,\,\,\,For\,\,particle\,\,1,\,\,{{M}_{1}}{{v}_{1}}\,\,=\,\,q{{R}_{1}}B\]                    ... (i) \[and\,\,for\,\,particle\,\,2,\,\,{{M}_{2}}{{v}_{2}}\,=\,\,q{{R}_{2}}B\]                 ... (ii) On dividing Eq. (i) by Eq. (ii), we get \[\therefore \,\,\,\,\,\,\,\,\,\frac{{{M}_{1}}{{v}_{1}}}{{{M}_{2}}{{v}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\] According to the figure \[{{R}_{1}}>{{R}_{2}}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,{{M}_{1}}{{v}_{1}}>{{M}_{2}}{{v}_{2}}\]


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