1
IIT-JEE 2011 Paper 1 Offline
MCQ (Single Correct Answer)
+2
-0.5
Consider an electric field $$\overrightarrow E = {E_0}\widehat x$$ where $${E_0}$$ is a constant. The flux through the shaded area (as shown in the figure) due to this field is
A
$$2{E_0}{a_2}$$
B
$$\sqrt 2 {E_0}{a^2}$$
C
$${E_0}\,{a^2}$$
D
$${{{E_0}{a^2}} \over {\sqrt 2 }}$$
2
IIT-JEE 2011 Paper 2 Offline
MCQ (Single Correct Answer)
+2
-0.5
Which of the field patterns given below is valid for electric field as well as for magnetic field ?
A
B
C
D
3
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+2
-0.5
A tiny spherical oil drop carrying a net charge $$q$$ is balanced in still air with a vertical uniform electric field of strength $${{81\pi } \over 7} \times {10^5}\,\,V{m^{ - 1}}.$$ When the field is switched off, the drop is observed to fall with terminal velocity $$2 \times {10^{ - 3}}\,\,m{s^{ - 1}}.$$ Given $$g = 9.8\,m\,{s^{ - 2}},$$ viscosity of the air $$= 1.8 \times {10^{ - 5}}\,\,Ns\,{m^{ - 2}}$$ and the density of coil $$=900$$ $$kg$$ $${m^{ - 3}},$$ the magnitude of $$q$$ is
A
$$1.6 \times {10^{ - 19}}C$$
B
$$3.2 \times {10^{ - 19}}C$$
C
$$4.8 \times {10^{ - 19}}C$$
D
$$8.0 \times {10^{ - 19}}C$$
4
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+2
-0.5
A uniformly charged thin spherical shell of radius $$R$$ carries uniform surface charge density of $$\sigma$$ per unit area. It is made of two hemispherical shells, held together by pressing them with force $$F$$ (see figure). $$F$$ is proportional to

A
$${1 \over {{\varepsilon _0}}}{\sigma ^2}{R^2}$$
B
$${1 \over {{\varepsilon _0}}}{\sigma ^2}R$$
C
$${1 \over {{\varepsilon _0}}}{{{\sigma ^2}} \over R}$$
D
$${1 \over {{\varepsilon _0}}}{{{\sigma ^2}} \over {{R^2}}}$$
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