1
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
A parallel plate capacitor having plates of area S and plate separation d, has capacitance C1 in air. When two dielectrics of different relative permittivities ($$\varepsilon$$1 = 2 and $$\varepsilon$$2 = 4) are introduced between the two plates as shown in the figure, the capacitance becomes C2. The ratio $${{{C_2}} \over {{C_1}}}$$ is

A
$${6 \over 5}$$
B
$${5 \over 3}$$
C
$${7 \over 5}$$
D
$${7 \over 3}$$
2
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature T1, pressure P1 and volume V1 and the spring is in its relaxed state. The gas is then heated very slowly to temperature T2, pressure P2 and volume V2. During this process the piston moves out by a distance x.

Ignoring the friction between the piston and the cylinder, the correct statements is/are

A
If V2 = 2V1 and T2 = 3Tl, then the energy stored in the spring is $${1 \over 4}{P_1}{V_1}$$
B
If V2 = 2V1 and T2 = 3T1, then the change in internal energy is $$3{P_1}{V_1}$$
C
If V2 = 3V1 and T2 = 4T1, then the work done by the gas is $${7 \over 3}{P_1}{V_1}$$
D
If V2 = 3V1 and T2 = 4T1, then the heat supplied to the gas is $${17 \over 6}{P_1}{V_1}$$
3
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
A fission reaction is given by $$_{92}^{236}U \to _{54}^{140}Xe + _{38}^{94}Sr + x + y$$, where x and y are two particles. Considering $$_{92}^{236}U$$ to be at rest, the kinetic energies of the products are denoted by $${K_{Xe}},{K_{Sr}},{K_x}(2MeV)$$ $$\text { and } \mathrm{K}_{\mathrm{y}}(2 \mathrm{MeV})$$, respectively. Let the binding energies per nucleon of $$_{92}^{236}U$$, $$_{54}^{140}Xe$$ and $$_{38}^{94}Sr$$ be 7.5 MeV, 8.5 MeV and 8.5 MeV, respectively. Considering different conservation laws, the correct options is/are
A
x = n, y = n, Ksr = 129 MeV, KXe = 86 MeV
B
x = p, y = e$$-$$, Ksr = 129 MeV, KXe = 86 MeV
C
x = p, y = n, Ksr = 129 MeV, KXe = 86 MeV
D
x = n, y = n, Ksr = 86 MeV, KXe = 129 MeV
4
JEE Advanced 2015 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-2
Two spheres P and Q for equal radii have densities $$\rho$$1 and $$\rho$$2, respectively. The spheres are connected by a massless string and placed in liquids L1 and L2 of densities $$\sigma$$1 and $$\sigma$$2 and viscosities $${\eta _1}$$ and $${\eta _2}$$, respectively. They float in equilibrium with the sphere P in L1 and sphere Q in L2 and the string being taut (see figure) If sphere P along in L2 has terminal velocity vP and Q alone in L1 ha terminal velocity vQ, then

A
$${{|{v_P}|} \over {|{v_Q}|}} = {{{\eta _1}} \over {{\eta _2}}}$$
B
$${{|{v_P}|} \over {|{v_Q}|}} = {{{\eta _2}} \over {{\eta _1}}}$$
C
vP . vQ > 0
D
vP . vQ < 0
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