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Electrostatics question

2015 · Shift 2 · Q41
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Electrostatics question

2015 · Shift 2 · Q41

JEE AdvancedPhysicsElectrostaticsMultiple correct+4 / −2
Consider a uniform spherical charge distribution of radius R1{R_1}R1​ centred at the origin O.O.O. In this distribution, a spherical cavity of radius R2,{R_2},R2​, centred at PPP with distance OP=a=R1−R2OP=a = {R_1} - {R_2}OP=a=R1​−R2​(see figure) is made. If the electric field inside the cavity at position r→\overrightarrow rr is E→(r)→,\overrightarrow E \overrightarrow {\left( r \right)} ,E(r)​, then the correct statement(s) is (are) JEE Advanced 2015 Paper 2 Offline Physics - Electrostatics Question 49 English
  1. A
    E→\overrightarrow EE is uniform, its magnitude is independent of R2{R_2}R2​ but its direction depends on r→.\overrightarrow r .r.
  2. B
    E→\overrightarrow EE is uniform, its magnitude depends on R2{R_2}R2​ and its direction depends on r→.\overrightarrow r .r.
  3. C
    E→\overrightarrow EE is uniform, its magnitude is independent of a but its direction depends on a→\overrightarrow aa
  4. D
    E→\overrightarrow EE is uniform and both its magnitude and direction depend on a→\overrightarrow aa
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