Physics Quiz - III - Youtube Live Seesion

A particle of mass m and charge q is at rest. If it is moved with velocity $\frac{\sqrt{3} c}{2}$ where c is the speed of light in a vacuum, then its charge will become/remain
1. 2q
2. $\sqrt{3}$ q
3. q/2
4. q

If W be the amount of heat produced in process of charging an uncharged capacitor then the amount of energy stored in it is
1. 2W
2. W/2
3. W
4. Zero

A metallic sphere of capacitance C₁, charged to electric potential V₁ is connected by a metal wire to another metallic sphere of capacitance C₂ charged to electric potential V₂. The amount of heat produced in the connecting wire during the process is
1. $\frac{C_{1} C_{2}}{2 (C_{1} + C_{2})} {(V_{1} + V_{2})}^{2}$
2. $\frac{C_{1} C_{2}}{2 (C_{1} + C_{2})} {(V_{1} - V_{2})}^{2}$
3. $\frac{C_{1} C_{2}}{C_{1} + C_{2}} {(V_{1} - V_{2})}^{2}$
4. Zero

In the circuit shown in the figure, find the value of emf $ε$ of the seller so that the reading of ammeter is zero

1. 10V
2. 20V
3. 50V
4. 70V

A wire having a resistance of 16 ohms is stretched to double its original length. The new resistance of the wire will be
1. 4 ohm
2. 8 ohm
3. 3 ohm
4. 6 ohm

In the circuit shown in the figure, the current supplied by the battery is

1. 2A
2. 1A
3. 0.5A
4. 0.4A

The capacitance of a parallel plate capacitor is C. If a dielectric slab of thickness equal to one-fourth of the plate separation and dielectric constant K is inserted between the plates, then new capacitance become
1. $\frac{KC}{2 (K + 1)}$
2. $\frac{2 KC}{K + 1}$
3. $\frac{5 KC}{4 K + 1}$
4. $\frac{4 KC}{3 K + 1}$

Two batteries of emf E₁, E₂, and internal resistances r₁, r₂, are connected as shown in the figure. The effective emf of the circuit across A and B is

1. $\frac{E_{1} γ_{1} + E_{2} r_{2}}{r_{1} + r_{2}}$
2. $\frac{E_{1} r_{2} + E_{2} n}{r_{1} + r_{2}}$
3. $\frac{E_{1} r_{2} - E_{2} r_{1}}{r_{1} + r_{2}}$
4. $\frac{E_{1} r_{1} - E_{2} r_{2}}{r_{1} + r_{2}}$

The equivalent resistance across AB is

1. 2R
2. R/2
3. 4R/3
4. 3R/2

10.

In the circuit shown in the figure, the effective resistance between A and B is

1. 2 ohm
2. 4 ohm
3. 6 ohm
4. 8 ohm

11.

A hollow charged metal spherical shell has radius R. If the potential difference between its surface and a point at a distance 3R from the center is V, then the value of electric field intensity at a point at distance 4R from the center is
1. $\frac{3 V}{19 R}$
2. $\frac{V}{6 R}$
3. $\frac{3 V}{32 R}$
4. $\frac{3 V}{16 R}$

12.

You are travelling in a car during a thunderstorm. In order to protect yourself from lightning, you would prefer to
1. Touch the nearest electric pole
2. Take shelter under a tree
3. Get out and crouch on the ground
4. Remain in the car

13.

If a soap bubble is given some charge, then its radius
1. Increases
2. Decreases
3. Remain unchanged
4. May increase or decrease depending upon the given charge is positive or negative

14.

For the circuit shown in the figure, the value of R must be must be

1. 3 $Ω$
2. 4 $Ω$
3. 5 $Ω$
4. 6 $Ω$

15.

A point charge q is placed over a horizontal square of side L at a normal distance of L/4 from its center. The electric flux through the square is
1. $ϕ = \frac{q}{6 ε_{0}}$
2. $ϕ < \frac{q}{6 ε_{0}}$
3. $\frac{q}{6 ε_{0}} < ϕ < \frac{q}{ε_{0}}$
4. $ϕ > \frac{q}{ε_{0}}$

16.

The figure shows some of the equipotential surfaces. Magnitude and direction of the electric field is given by

(1) 200 V/m, making an angle 120° with the x-axis
(2) 100 V/m, pointing towards the negative x-axis
(3) 200 V/m, making an angle -60° with the x-axis
(4) 100 V/m, making an angle 30° with the x-axis

17.

The current through an ideal p-n junction diode shown in the circuit will be

(1) 5 A
(2) 0.2 A
(3) 0.6 A
(4) Zero

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