Physics

$V_1=\frac{k{Q}_3}{3R}+\frac{k{Q}_2}{2R}+\frac{k{Q}_1}{R}=30$

$V_2=\frac{k{Q}_3}{3R}+\frac{k{Q}_2}{2R}+\frac{k{Q}_1}{2R}=15$

$V_3=\frac{k{Q}_3}{3R}+\frac{k{Q}_2}{3R}+\frac{k{Q}_1}{3R}=10$

Eq. (1) $\&$  (2) $\to \frac{k{Q}_1}{R}=30$  

Eq. (2) $\&$  (3) $\to \frac{k{Q}_2}{6R}+\frac{k{Q}_1}{6R}=5\Rightarrow \frac{k{Q}_2}{R}=-\frac{k{Q}_1}{R}+30=0$

By (3) $\to \frac{k{Q}_3}{R}=30-\frac{k{Q}_2}{R}-\frac{k{Q}_1}{R}=0$

Potential of innermost shell (earthed) $=\frac{k{Q}_1^{\mathrm{\text{'}}}}{R}+\frac{k{Q}_2}{2R}+\frac{k{Q}_3}{3R}=0$

$\Rightarrow \mathrm{}\frac{k{Q}_1^{\mathrm{\text{'}}}}{R}=0\mathrm{}\therefore \mathrm{}{Q}_1^{\mathrm{\text{'}}}=0$

The Earth's magnetic field makes a magnetic inclination (dip) or angle between Earth's overall magnetic field and the horizontal plane at a particular location. It shows how much the magnetic field is tilted from the horizontal.

tan I = B_V / B_H,

where, B_V is the vertical component and B_H is the horizontal component of the Earth's magnetic field.

According to Gauss's law for magnetism, the net magnetic flux through any closed surface is zero.

$?\mathbf{B}\cdot dA=0$

It states that all magnetic field lines must enter and exit from a surface. In this way, it differs from electric charges, which can exist independently as positive and negative.

Magnetism is the force exerted by a magnet. It comes when the magnet attracts or repulses an object. For example, a magnet sticks to certain objects because the magnetic force or magnetism pulls it.

1R + 0.5 = 1.5
1R = 1
R = 1/10 = 100Ω

(Q? - Q? )/Q? = (T? - T? )/T? ; Q = (300/600) * 1600 = 800 J
work done = Q? - Q? = 1600 – 800 = 800J

f? = 300 Hz
3rd overtone = 7f? = 2100 Hz

Gold band is equal to 5% tolerance

t? , half life = (log?2)/λ = 3 s
Initially 200 nuclei were there
After 3 half-lives, 9 seconds,
No. of nuclei = (1/2³) (200) = 25
Therefore, the number of nuclei that decayed = 200 – 25 = 175

EMF induced = BLV = 4 * 2 * 1 = 8V
Current produced = BLV/R = 8/1 = 8A