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Questions and Answers
A beam of light with a wavelength of 720 nm in air enters water (refractive index = $\frac{4}{3}$). What will its wavelength be in water?
A beam of light with a wavelength of 720 nm in air enters water (refractive index = $\frac{4}{3}$). What will its wavelength be in water?
- 420 nm
- 540 nm (correct)
- 480 nm
- 720 nm
A capacitor with capacitance C has reactance X in an AC circuit. If both the capacitance and the frequency of the applied voltage are doubled, what will the new reactance become?
A capacitor with capacitance C has reactance X in an AC circuit. If both the capacitance and the frequency of the applied voltage are doubled, what will the new reactance become?
- 4X
- $\frac{X}{4}$ (correct)
- 2X
- $\frac{X}{2}$
Four point charges, each with a charge of Q, are positioned at the four corners of a square with side length l. What is the amount of work done in bringing another charge Q from infinity to the center of the square?
Four point charges, each with a charge of Q, are positioned at the four corners of a square with side length l. What is the amount of work done in bringing another charge Q from infinity to the center of the square?
- $\frac{Q^2}{2\pi \varepsilon_0 l}$
- Zero
- $\frac{Q^2}{\pi \varepsilon_0 l}$
- $\frac{\sqrt{2}Q^2}{\pi \varepsilon_0 l}$ (correct)
A metal sheet is inserted between the plates of a parallel plate capacitor with capacitance C. If the sheet partly occupies the space between the plates, how does the capacitance change?
A metal sheet is inserted between the plates of a parallel plate capacitor with capacitance C. If the sheet partly occupies the space between the plates, how does the capacitance change?
Four resistors, each with a resistance of R, and a key K are connected as shown in the figure (key K connects two opposite corners of the resistor square). What is the equivalent resistance between points A and B when the key K is open?
Four resistors, each with a resistance of R, and a key K are connected as shown in the figure (key K connects two opposite corners of the resistor square). What is the equivalent resistance between points A and B when the key K is open?
Flashcards
Wavelength change upon entering a new medium
Wavelength change upon entering a new medium
The change in wavelength when light enters a medium is determined by the refractive index of the medium.
Capacitive Reactance
Capacitive Reactance
Opposition to alternating current (AC) flow in a capacitor. It is inversely proportional to both capacitance and frequency.
Work done bringing charge to the center of a square.
Work done bringing charge to the center of a square.
The work done in bringing a charge to a point is the charge times the electric potential at that point.
Capacitance with a metal insertion
Capacitance with a metal insertion
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Resistance with Open Key
Resistance with Open Key
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Study Notes
- A beam of light with a wavelength of 720 nm in air enters water, which has a refractive index of 4/3 and its wavelength in water will be 540 nm.
- A capacitor with capacitance C has reactance X in an AC circuit; if both the capacitance and the frequency of the applied voltage are doubled, the new reactance becomes X/4.
- Considering four point charges Q each held at the four corners of a square of side l, the work done in bringing a charge Q from infinity to the center of the square is √2 Q²/πε₀l.
- A metal sheet is inserted between the plates of a parallel plate capacitor of capacitance C; If the sheet partly occupies the space between the plates, the capacitance becomes greater than C.
- With four resistors, each of resistance R, connected as shown in the figure with a key K, the equivalent resistance between points A and B when key K is open will be 4R/3.
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Description
Explores light refraction in water, capacitor reactance changes with frequency, work done moving a charge to the center of a square, and equivalent resistance in resistor networks. The wavelength of light changes upon entering water. Reactance varies inversely with capacitance and frequency. Inserting a metal sheet increases capacitance.
