JEE Advanced 2021 Full Test 1 Paper 2

PART – I

Physics

SECTION – A (One or More than one correct type)
This section contains 06 multiple choice questions. Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four options is(are) correct.

Question : 2 of 54

Marks: +1, -0

A non-conducting solid sphere of radius 30‌mathrm‌~cm and relative permittivity 1 has the volume charge density rho=left(frac‌5‌2‌pi‌mu‌mathrm‌

mathrm

‌m3‌right)‌left(1−frac‌r‌30‌mathrm‌~cm‌right), where mathrm‌r(mathrm‌in‌mathrm‌cm) is the radial distance of any point in thespace from the centre of the sphere. Then choose the correct statement(s):

Density of electric field lines is maximum at r=25cm
Density of electric field line sis maximum at r=20cm
Electrical energy stored in the space r=30cm to r→∞, is same as that of a solid non conducting sphere carrying charge of 0.0225µC and radii 30cm having uniform volume charge density in the same spacer=30cm to r→∞.
Variation of magnitude of electric field due to the sphere with respect to radial distance r is rectangular hyperbola in the region r=30cm to r→∞.

Validate

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