1
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
For a prism of prism angle $$\theta$$ = 60$$^\circ$$, the refractive indices of the left half and the right half are, respectively, n1 and n2 (n2 $$\ge$$ n1) as shown in the figure. The angle of incidence i is chosen such that the incident light rays will have minimum deviation if n1 = n2 = n = 1.5. For the case of unequal refractive indices, n1 = n and n2 = n + $$\Delta$$n (where $$\Delta$$n << n), the angle of emergence e = i + $$\Delta$$e. Which of the following statement(s) is(are) correct?

A
The value of $$\Delta$$e (in radians) is greater than that of $$\Delta$$n
B
$$\Delta$$e is proportional to $$\Delta$$n
C
$$\Delta$$e lies between 2.0 and 3.0 milliradians, if $$\Delta$$n = 2.8 $$\times$$ 10$$-$$3
D
$$\Delta$$e lies between1.0 and 1.6 milliradians, if $$\Delta$$n = 2.8 $$\times$$ 10$$-$$3
2
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
A physical quantity $$\overrightarrow S$$ is defined as $$\overrightarrow S = (\overrightarrow E \times \overrightarrow B )/{\mu _0}$$, where $$\overrightarrow E$$ is electric field, $$\overrightarrow B$$ is magnetic field and $$\mu$$0 is the permeability of free space. The dimensions of $$\overrightarrow S$$ are the same as the dimensions of which of the following quantity(ies)?
A
$${{Energy} \over {Ch\arg e \times Current}}$$
B
$${{Force} \over {Length \times Time}}$$
C
$${{Energy} \over {Volume}}$$
D
$${{Power} \over {Area}}$$
3
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
A heavy nucleus N, at rest, undergoes fission N $$\to$$ P + Q, where P and Q are two lighter nuclei. Let $$\delta$$ = MN $$-$$ MP $$-$$ MQ, where MP, MQ and MN are the masses of P, Q and N, respectively. EP and EQ are the kinetic energies of P and Q, respectively. The speeds of P and Q are vP and vQ, respectively. If c is the speed of light, which of the following statement(s) is(are) correct?
A
$${E_P} + {E_Q} = {c^2}\delta$$
B
$${E_P} = \left( {{{{M_P}} \over {{M_P} + {M_Q}}}} \right){c^2}\delta$$
C
$${{{v_P}} \over {{v_Q}}} = {{{M_Q}} \over {{M_P}}}$$
D
The magnitude of momentum for P as well Q is $$c\sqrt {2\mu \delta }$$, where $$\mu = {{{M_P}{M_Q}} \over {({M_P} + {M_Q})}}$$
4
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their common center, as shown in the figure. The smaller loop carries current I1 in the anti-clockwise direction and the larger loop carries current I2 in the clockwise direction, with I2 > 2I1. $$\overrightarrow B$$(x, y) denotes the magnetic field at a point (x, y) in the xy-plane. Which of the following statement(s) is(are) correct?

A
$$\overrightarrow B$$(x, y) is perpendicular to the xy-plane at any point in the plane
B
| $$\overrightarrow B$$(x, y) | depends on x and y only through the radial distance $$r = \sqrt {{x^2} + {y^2}}$$
C
| $$\overrightarrow B$$(x, y) | is non-zero at all points for r < R
D
$$\overrightarrow B$$(x, y) points normally outward from the xy-plane for all the points between the two loops
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