The minimum magnetic dipole moment of electron in hydrogen atom is

• $\frac{\mathrm{eh}}{2\mathrm{\pi m}}$

• $\frac{\mathrm{eh}}{4\mathrm{\pi m}}$

• $\frac{\mathrm{eh}}{\mathrm{\pi m}}$

• 0

Assertion: A electrostatic field line never form closed loop.

Reason: Electrostatic field is conservative field.

• If both assertion and reason are true and reason is the correct explanation of assertion.

• If both assertion and reason are true but reason is not the correct explanation of assertion.

• If assertion is true but reason is false.

• If both assertion and reason are false.

Energy stored in between the plates of parallel plate capacitor of area A, separated by distance d is

• $\frac{1}{2}$ε₀ E² Ad 

• $\frac{1}{2}$ε₀ E² $\frac{\mathrm{A}}{\mathrm{d}}$

• $\frac{1}{2}$ε₀$\frac{\mathrm{d}}{{\mathrm{E}}^2 \mathrm{A}}$

• $\frac{1}{2} \frac{\mathrm{A} \mathrm{d}}{{\mathrm{\epsilon }}_0 {\mathrm{E}}^2}$

An uncharged particle is moving with a velocity $\overrightarrow{\mathrm{v}}$ in non-uniform magnetic field as shown.

velocity $\overrightarrow{\mathrm{v}}$ would be

• Maximum at A & B 

• Minimum at A &  B

• Maximum at M

• same at all points

What would be the voltage across C₃?

• $\frac{\left({\mathrm{C}}_1 + {\mathrm{C}}_2\right) \mathrm{V}}{{\mathrm{C}}_1+ {\mathrm{C}}_2 + {\mathrm{C}}_3}$

• $\frac{{\mathrm{C}}_1 \mathrm{V}}{{\mathrm{C}}_1 + {\mathrm{C}}_{2 }+ {\mathrm{C}}_3}$

• $\frac{{\mathrm{C}}_2 \mathrm{V}}{{\mathrm{C}}_2 + {\mathrm{C}}_2 + {\mathrm{C}}_3}$

• $\frac{{\mathrm{C}}_3 \mathrm{V}}{{\mathrm{C}}_1 + {\mathrm{C}}_2 + {\mathrm{C}}_3}$

An electric charge 10^-3 μC is placed at the origin (0,0) of (x-y) co-ordinate system. Two points A and B are situated at  $\left(\sqrt{2}, \sqrt{2}\right)$ and (2,0) respectively. The potential difference between the points A and B will be

• 4.5 volt

• 9 volt

• Zero

• 2 volt

A conducting sphere of radius R carrying charge Q lies inside an uncharged conducting shell of raius 2R. If they are joined by a metal wire, the amount of heat that will be produced is

• $\frac{1}{4{\mathrm{\pi \epsilon }}_0} \frac{{\mathrm{Q}}^2}{4\mathrm{R}}$

• $\frac{1}{4{\mathrm{\pi \epsilon }}_0} \frac{{\mathrm{Q}}^2}{2\mathrm{R}}$

• $\frac{1}{4{\mathrm{\pi \epsilon }}_0}\frac{{\mathrm{Q}}^2}{\mathrm{R}}$

• $\frac{2}{4{\mathrm{\pi \epsilon }}_0} \frac{{\mathrm{Q}}^2}{3\mathrm{R}}$

198.

What  is  the  energy  stored  in  the  capacitor  between terminals  a and  b of the  network shown in the figure? ( capacitance of each capacitor C = 1 μF)

           

• 12.5 μJ

• Zero

• 25 μJ

• 50 μJ

Assertion:  Electric potential of earth is taken zero. 

Reason:  No electric field exists on earth surface.

• If both assertion and reason are true and reason is the correct explanation of assertion

• If both assertion and reason are true but reason is not the correct explanation of assertion

• If assertion is true but reason is false

• If both assertion and reason are false

Assertion:  A charge, whether stationary or in motion produces a magnetic field around it. 

Reason:  Moving charges produce only electric field in the surrounding space.

• If both assertion and reason are true and reason is the correct explanation of assertion

• If both assertion and reason are true but reason is not the correct explanation of assertion

• If assertion is true but reason is false

• If both assertion and reason are false