There is spherical symmetric charge distribution around origin. The electrostatic potential at a distance 'r' from origin is given as V=\frac{-K r^{4}}{4} where {K} is a positive constant. The slope of tangent to density vs 'r' graph at r=\frac{1}{2} m is \alpha K \in_{0} . Then find value of " \alpha '.

JEE Advanced 2020 Full Test 1 Paper 1

Question : 17 of 54

Marks: +1, -0

There is spherical symmetric charge distribution around origin. The electrostatic potential at a distance 'r' from origin is given as V=‌

−Kr4

where K is a positive constant. The slope of tangent to density vs 'r' graph at r=‌

m is αK∈0. Then find value of " α '.

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