Question

This question has multiple correct options

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Updated on : 2022-09-05

Solution

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Correct options are A) , B) and D)

$B=2k^$

$m=1$

$q=1$

$r=qBmv =1×21×8_{2}+6_{2} =5$

The trajectory will be circular and will be in xy plane.

a) $x_{2}+y_{2}−4x−21=0$

$∴(x−2)_{2}+y_{2}−4−21=(x−2)_{2}+y_{2}=25=5_{2}$ which is equation of a circle of radius 5.

b) $x_{2}+y_{2}=25$ is equation of circle of radius 5.

c) $y_{2}+z_{2}=25$ gives the circle being in yz plane, which is not correct.

d) $T=v2πr =102×3.14×5 =3.14m/s$

a) $x_{2}+y_{2}−4x−21=0$

$∴(x−2)_{2}+y_{2}−4−21=(x−2)_{2}+y_{2}=25=5_{2}$ which is equation of a circle of radius 5.

b) $x_{2}+y_{2}=25$ is equation of circle of radius 5.

c) $y_{2}+z_{2}=25$ gives the circle being in yz plane, which is not correct.

d) $T=v2πr =102×3.14×5 =3.14m/s$

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