Physics of Electric Dipoles and Evaluation Criteria
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Questions and Answers

What is the formula for work done in rotating a dipole in an external torque?

The formula is $W = pE (cos \theta_0 - cos \theta_1)$.

Under what conditions is the potential energy of the dipole maximum?

The potential energy is maximum when the dipole moment $\mathbf{p}$ is antiparallel to the electric field $\mathbf{E}$, or when $\theta = 180°$.

What is the expression for potential energy in terms of dipole moment and electric field?

The potential energy is given by $U(\theta) = - \mathbf{p} \cdot \mathbf{E}$, which can also be expressed as $U(\theta) = -pE cos \theta$.

What is the expression for torque acting on the dipole in the electric field?

<p>The torque is given by $\tau = pE sin \theta$.</p> Signup and view all the answers

At what angle is the potential energy of a dipole at a minimum?

<p>The potential energy of a dipole is at a minimum when $\theta = 0°$, which means the dipole moment is along the direction of the electric field.</p> Signup and view all the answers

What should an examiner do if a question has parts while awarding marks?

<p>Marks should be awarded on the right-hand side for each part, and the total must be written in the left-hand margin and encircled.</p> Signup and view all the answers

How should marks be awarded if a question does not have defined parts?

<p>Marks should be awarded in the left-hand margin and encircled.</p> Signup and view all the answers

What is the procedure if a student attempts an extra question?

<p>The answer deserving more marks should be retained, while the other answer should be scored out with a note 'Extra Question'.</p> Signup and view all the answers

Explain the penalty for cumulative errors in evaluations.

<p>No marks should be deducted for cumulative errors; they should be penalized only once.</p> Signup and view all the answers

What scale of marks must be used during evaluations?

<p>A full scale of marks from 0 to 70 must be utilized.</p> Signup and view all the answers

What common errors should examiners avoid during the marking process?

<p>Examiners should avoid leaving answers unassessed, giving incorrect marks, and wrong totaling.</p> Signup and view all the answers

How should a totally incorrect answer be marked?

<p>It should be marked with a cross (X) and awarded zero (0) marks.</p> Signup and view all the answers

What is the daily evaluation quota for examiners when grading answer books?

<p>Examiners must evaluate 20 answer books per day in main subjects and 25 in other subjects.</p> Signup and view all the answers

What happens to the power of a double-convex lens when it is cut into two equal parts perpendicular to its principal axis?

<p>The power of one part of the lens will be $2P$.</p> Signup and view all the answers

If two parts of a double-convex lens, each with power P, are placed in contact, what is the power of the combination?

<p>The power of the combination will be $2P$.</p> Signup and view all the answers

What is the power of the combination of a double-convex lens cut along its principal axis?

<p>The power of the combination will be $0$.</p> Signup and view all the answers

When two convex lenses with focal lengths of 60 cm and 20 cm are in contact, what is the power of their combination?

<p>The power of the combination is $15 D$.</p> Signup and view all the answers

What is the formula to determine the power of a lens in diopters (D) given its focal length?

<p>The formula is $P = 1/f$ where $f$ is the focal length in meters.</p> Signup and view all the answers

If a double-convex lens of power P is divided into two parts, what happens to the focal length of the individual parts?

<p>The focal length of each part becomes half that of the original lens.</p> Signup and view all the answers

What is the effect on power when two identical lenses are stacked in series?

<p>The resulting power will be $2P$.</p> Signup and view all the answers

How does the radius of curvature relate to the power of a lens?

<p>A smaller radius of curvature leads to a higher lens power.</p> Signup and view all the answers

What is the relationship between the kinetic energy of photoelectrons and the intensity of incident light in the photoelectric effect?

<p>The kinetic energy of emitted photoelectrons increases with the increase in the intensity of the incident light.</p> Signup and view all the answers

Why does the mutual inductance between two coils reach its maximum when they are wound on top of each other?

<p>The flux linkage between the two coils is maximum when they are wound on each other.</p> Signup and view all the answers

What occurs when two long parallel wires carrying current are connected in series to a battery?

<p>The two wires, when carrying current in the same direction, attract each other and move apart.</p> Signup and view all the answers

Are plane and convex mirrors capable of producing real images? Explain.

<p>No, plane and convex mirrors cannot produce real images under any circumstance.</p> Signup and view all the answers

State the effect of light wavelength on photoelectric current.

<p>Photoelectric current depends on the wavelength of the incident light.</p> Signup and view all the answers

What is the significance of the assertion that two wires carrying current in opposite directions repel each other?

<p>This illustrates the fundamental electromagnetic principle that like currents repel each other, while opposite currents attract.</p> Signup and view all the answers

If the frequency of a wave is 5.0 x 10^14 Hz, what can be inferred about its wavelength?

<p>Using the wave speed equation, the wavelength can be determined, suggesting a relationship between frequency and wavelength.</p> Signup and view all the answers

How does changing the current direction in parallel wires impact their movement?

<p>When the current direction is reversed, the wires repel each other, demonstrating the effects of electromagnetic forces.</p> Signup and view all the answers

What is the formula used to find the temperature in the given context?

<p>The formula is $R = R_0 [1 + eta (T - T_0)]$.</p> Signup and view all the answers

If $R = 2R_0$, what is the final temperature $T$ in Celsius?

<p>The final temperature $T$ is $270°C$.</p> Signup and view all the answers

Using $v = u imes ext{λ}$, calculate the wavelength of reflected light if the frequency is $5×10^{14} Hz$.

<p>The wavelength is $600 nm$ or $6×10^{-7} m$.</p> Signup and view all the answers

What is the relationship between the wavelength of light in air and in a medium of refractive index $μ = 1.5$?

<p>The wavelength in the medium is $400 nm$ or $4×10^{-7} m$.</p> Signup and view all the answers

In the formula $\frac{1}{f} = (μ - 1) \left(\frac{1}{R_1} - \frac{1}{R_2}\right)$, what does $R$ represent?

<p>In this context, $R$ represents the radius of the curved surface.</p> Signup and view all the answers

If $μ = 1.4$ and $f = 16$, what is the value of the radius $R$ after solving the equation?

<p>The radius $R$ is $6.4 cm$.</p> Signup and view all the answers

What is the significance of the variables $R_1$ and $R_2$ in the equation for focal length?

<p>$R_1$ and $R_2$ are the radii of curvature for the two surfaces of a lens or mirror.</p> Signup and view all the answers

How does the refractive index affect the wavelength of light traveling from air to a medium?

<p>The refractive index inversely affects the wavelength; as $μ$ increases, wavelength decreases.</p> Signup and view all the answers

What are three causes of energy losses in electrical systems?

<p>Flux leakage, resistance of the windings, and eddy currents.</p> Signup and view all the answers

Explain the relationship between input power and output power.

<p>Current changes correspondingly, so the input power is equal to the output power.</p> Signup and view all the answers

Calculate the secondary voltage (Vs) using the primary voltage (VP) of 90 V, primary turns (NP) of 200, and secondary turns (Ns) of 3000.

<p>Vs = 1350 V.</p> Signup and view all the answers

If the primary current (IP) is 2 A and the primary turns (NP) are 200, how do you calculate the secondary current (Is) with secondary turns (Ns) of 3000?

<p>IP = 30 A.</p> Signup and view all the answers

What is the minimum deviation angle in the context of a prism?

<p>The minimum deviation angle is defined as the angle at which the angle of incidence equals the angle of emergence.</p> Signup and view all the answers

How is the refractive index (n) defined in relation to angles A and δ?

<p>n = sin(A + δ) / sin(A).</p> Signup and view all the answers

What occurs to the refracted ray inside a prism at the angle of minimum deviation?

<p>The refracted ray becomes parallel to the base of the prism.</p> Signup and view all the answers

Why is understanding energy losses important in electrical engineering?

<p>Understanding energy losses is crucial for improving efficiency and performance of electrical systems.</p> Signup and view all the answers

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