Question
Explain the vector form of Coulomb's law and write its important facts.
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Answer
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Calculate the Q-values of the following fusion reactions:
$\text{m}\big(\text{ }^2_1\text{H}\big)=2.014102\text{u}$
$\text{m}\big(\text{ }^3_1\text{H}\big)=3·016049\text{u}$
$\text{m}\big(\text{ }^3_2\text{H}\big)=3.016029\text{u}$
$\text{m}\big(\text{ }^4_2\text{He}\big)=4·002603\text{u}$
→- $\text{ }^2_1\text{H}+\text{ }^2_1\text{H}\rightarrow\text{ }^3_1\text{H}+\text{ }^1_1\text{H}$
- $\text{ }^2_1\text{H}+\text{ }^2_1\text{H}\rightarrow\text{ }^3_2\text{H}+\text{n}$
- $\text{ }^2_1\text{H}+\text{ }^3_1\text{H}\rightarrow\text{ }^4_1\text{H}+\text{n}$
$\text{m}\big(\text{ }^2_1\text{H}\big)=2.014102\text{u}$
$\text{m}\big(\text{ }^3_1\text{H}\big)=3·016049\text{u}$
$\text{m}\big(\text{ }^3_2\text{H}\big)=3.016029\text{u}$
$\text{m}\big(\text{ }^4_2\text{He}\big)=4·002603\text{u}$
$\text{ }^{212}_{33}\text{Bi}$ can disintegrate either by emitting an $\alpha$-particle of by emitting a $\beta^-$-particle.
→- Write the two equations showing the products of the decays.
- The probabilities of disintegration $\alpha$ and $\beta$ -decays are in the ratio $\frac{7}{13}.$ The overall half-life of 212Bi is one hour. If 1g of pure 212Bi is taken at 12.00 noon, what will be the composition of this sample at 1P.m. the same day?
A reference frame attached to the earth:
- Is an inertial frame by definition.
- Cannot be an inertial frame because the earth is revolving around the sun.
- Is an inertial frame because Newton's laws are applicable in this frame.
- Cannot be an inertial frame because the earth is rotating about its axis.
Use Moseley's law with b = 1 to find the frequency of the $\text{K}_\alpha$ X-ray of La(Z = 57) if the frequency of the $\text{K}_\alpha$ X-ray of Cu(Z = 29) is known to be 1.88 × 1018Hz.
→Add vectors $\overrightarrow{\text{A}},\overrightarrow{\text{B}}$ and $\overrightarrow{\text{C}}$ each having magnitude of 100 unit and inclined to the X-axis at angles 45°, 135° and 315° respectively.
→→
A converging lens of focal length 15cm and a converging mirror of focal length 10cm are placed 50cm apart. If a pin of length 2.0cm is placed 30cm from the lens farther away from the mirror, where will the final image form and what will be the size of the final image?
i. An alternating voltage $V = V _{ m } \sin \omega t$ applied to a series $L - C - R$ circuit derives a current given by $I = I _{ m } \sin (\omega t+\phi)$. Deduce an expression for the average power dissipated over a cycle.
ii. For circuit used for transporting electric power, a low power factor implies large power loss in transmission. Explain.
→ii. For circuit used for transporting electric power, a low power factor implies large power loss in transmission. Explain.
A particle slides on the surface of a fixed smooth sphere starting from the topmost point. Find the angle rotated by the radius through the particle, when it leaves contact with the sphere.
Determine the current in each branch of the network shown in Fig.:
