1
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle of charge q and mass m is subjected to an electric field
E = E0 (1 – $$a$$x2) in the x-direction, where $$a$$ and E0 are constants. Initially the particle was at rest at x = 0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :
A
$$a$$
B
$$\sqrt {{2 \over a}} $$
C
$$\sqrt {{3 \over a}} $$
D
$$\sqrt {{1 \over a}} $$
2
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance $${C \over 2}$$. The energy loss in the process after the charge is distributed between the two capacitors is :
A
$${1 \over 2}CV_0^2$$
B
$${1 \over 4}CV_0^2$$
C
$${1 \over 3}CV_0^2$$
D
$${1 \over 6}CV_0^2$$
3
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Find the Binding energy per neucleon for $${}_{50}^{120}Sn$$. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00867 U and mass of tin nucleus mSn = 119.902199 U. (take 1U = 931 MeV)
A
9.0 MeV
B
8.5 MeV
C
8.0 MeV
D
7.5 MeV
4
JEE Main 2020 (Online) 4th September Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2 . When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is:
A
gdS(x2 + x1)2
B
gdS$$\left( {x_2^2 + x_1^2} \right)$$
C
$${1 \over 4}gdS{\left( {{x_2} - {x_1}} \right)^2}$$
D
$${3 \over 4}gdS{\left( {{x_2} - {x_1}} \right)^2}$$
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