1
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
An infinitely long thin non-conducting wire is parallel to the $$z$$-axis and carries a uniform line charge density $$\lambda .$$ It pierces a thin non-conducting spherical shell of radius $$R$$ in such a way that the arc $$PQ$$ subtends an angle $${120^ \circ }$$ at the center $$O$$ of the spherical shell, as shown in the figure. The permittivity of free space is $${ \in _0}.$$ Which of the following statement is (are) true?

JEE Advanced 2018 Paper 2 Offline Physics - Electrostatics Question 37 English
A
The electric flux through the shell is $$\sqrt 3 R\lambda /{ \in _0}$$
B
The $$z$$-component of the electric field is zero at all the points on the surface of the shell
C
The electric flux through the shell is $$\sqrt 2 R\lambda /{ \in _0}$$
D
The electric field is normal to the surface of the shell at all points
2
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
In a radioactive decay chain, $${}_{90}^{232}Th$$ nucleus decays to $${}_{82}^{212}Pb$$ nucleus. Let $${N_\alpha }$$ and $${N_\beta }$$ be the number of $$\alpha $$ and $${\beta ^ - }$$ particles, respectively, emitted in this decay process. Which of the following statements is (are) true?
A
$${N_\alpha } = 5$$
B
$${N_\alpha } = 6$$
C
$${N_\beta } = 2$$
D
$${N_\beta } = 4$$
3
JEE Advanced 2018 Paper 2 Offline
Numerical
+3
-0
A solid horizontal surface is covered with a thin layer of oil. A rectangular block of mass $$m=0.4$$ $$kg$$ is at rest on this surface. An impulse of $$1.0$$ $$Ns$$ is applied to the block at time $$t=0$$ so that it starts moving along the $$x$$-axis with a velocity $$v\left( t \right) = {v_0}{e^{ - t/\tau }},$$ where $${v_0}$$ is a constant and $$\tau = 4s.$$ The displacement of the block, in metres, at $$t = \tau $$ is ______________ Take $${e^{ - 1}} = 0.37.$$
Your input ____
4
JEE Advanced 2018 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
In an experiment to measure the speed of sound by a resonating air column, a tuning fork of frequency $$500$$ $$Hz$$ is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length $$50.7$$ $$cm$$ and $$83.9$$ $$cm.$$ Which of the following statements is (are) true?
A
The speed of second determined from this experiment is $$332\,m{s^{ - 1}}$$
B
The end correction in this experiment is $$0.9$$ $$cm$$
C
The wavelength of the sound wave is $$66.4$$ $$cm$$
D
The resonance at $$50.7$$ $$cm$$ corresponds to the fundamental harmonic
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