1
JEE Main 2022 (Online) 27th July Morning Shift
+4
-1 An electron (mass $$\mathrm{m}$$) with an initial velocity $$\vec{v}=v_{0} i\left(v_{0}>0\right)$$ is moving in an electric field $$\vec{E}=-E_{0} \hat{i}\left(E_{0}>0\right)$$ where $$E_{0}$$ is constant. If at $$\mathrm{t}=0$$ de Broglie wavelength is $$\lambda_{0}=\frac{h}{m v_{0}}$$, then its de Broglie wavelength after time t is given by

A
$$\lambda_{0}$$
B
$$\lambda_{0}\left(1+\frac{e E_{0} t}{m v_{0}}\right)$$
C
$$\lambda_{0} t$$
D
$$\frac{\lambda_{0}}{\left(1+\frac{e E_{0} t}{m v_{0}}\right)}$$
2
JEE Main 2022 (Online) 26th July Evening Shift
+4
-1 Two uniformly charged spherical conductors $$A$$ and $$B$$ of radii $$5 \mathrm{~mm}$$ and $$10 \mathrm{~mm}$$ are separated by a distance of $$2 \mathrm{~cm}$$. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere $$A$$ and $$B$$ will be :

A
1 : 2
B
2 : 1
C
1 : 1
D
1 : 4
3
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :

A
x = d
B
$$x = {d \over 2}$$
C
$$x = {d \over {\sqrt 2 }}$$
D
$$x = {d \over {2\sqrt 2 }}$$
4
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1 If the electric potential at any point (x, y, z) m in space is given by V = 3x2 volt. The electric field at the point (1, 0, 3) m will be :

A
3 Vm$$-$$1, directed along positive x-axis.
B
3 Vm$$-$$1, directed along negative x-axis.
C
6 Vm$$-$$1, directed along positive x-axis.
D
6 Vm$$-$$1, directed along negative x-axis.
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Modern Physics
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