Wavelength in the film λ' = λ/n. If λ = 900 nm, then λ' = 900 nm / 1.5 = 600 nm.

For constructive interference in a thin film, the condition is 2t = mλ, where m is an integer.

For destructive interference in a thin film, the condition is 2t = (m + 1/2)λ, where m is an integer.

For destructive interference in a thin film, the condition is 2t = (m + 1/2)λ, where m is an integer.

Wavelength in oil = λ/n, where n is the refractive index of oil. Assuming n = 1.5, λ_oil = 600 nm / 1.5 = 400 nm.

Destructive interference for blue light means blue light is canceled out, allowing longer wavelengths (like red) to be seen.

Constructive interference for blue light indicates that blue will be the color seen due to the film thickness.

The color seen depends on the thickness of the film and the wavelength of light. Typically, red is seen due to constructive interference for certain thicknesses.

The color that is most prominently reflected depends on the thickness of the film and the wavelength of light. Typically, shorter wavelengths (like blue) are more affected by thin films.

At the center of the film with thickness λ/2, destructive interference occurs for all wavelengths, leading to no color.

At the center, where the path difference is λ, constructive interference occurs, and the color that appears depends on the wavelength of light, typically red for thin films.

The color that appears depends on the thickness of the film and the wavelength of light. Blue light has a shorter wavelength and will be more prominently reflected.

If the film thickness causes constructive interference for blue light, blue will be the color that appears at the topmost layer.

If the film thickness causes constructive interference for blue light, blue will be the color that appears most prominently.

The color that appears depends on the thickness of the film and the wavelength of light. Typically, red light is least affected by thin film interference.

Constructive interference in thin films often enhances the green color due to the specific thickness of the film and the wavelength of light.

The color that is most prominently visible depends on the thickness of the film and the wavelength of light. Typically, shorter wavelengths like blue are enhanced due to constructive interference.

The colorful patterns in a thin film are due to interference of light waves reflected from the top and bottom surfaces of the film.

Effective wavelength in the film = λ/n = 500 nm / 1.33 ≈ 375 nm.

Different colors are seen due to interference of light waves reflected from different thicknesses of the soap film, which changes with angle.

Different colors are seen because different wavelengths of light interfere constructively at different angles due to the varying thickness of the soap film.

Magnification (m) is given by m = -v/u. Here, m = -10/15 = -2/3, which means the magnification is 1.5 in absolute value.

Using Ampere's Law, B = μ₀NI/2πr inside a toroidal solenoid.

The magnetic field strength in a toroidal solenoid is directly proportional to the number of turns per unit length.

The magnetic field inside a toroidal solenoid is given by B = μ₀nI, where n is the number of turns per unit length along the circular path.

The magnetic field inside a toroidal solenoid is given by B = μ₀nI.

Since the angle of incidence (45°) is less than the critical angle (approximately 41.8° for glass to air), total internal reflection does not occur, and the angle of refraction cannot be calculated.

The critical angle for water to air is approximately 48.6 degrees. Therefore, the minimum angle of incidence is 60 degrees.

The voltage ratio in a transformer is given by Vp/Vs = Np/Ns, so Vp/Vs = 100/200 = 1/2, hence Vs = 2Vp.

In a transformer, the voltage ratio is directly proportional to the turns ratio. Therefore, if the secondary coil has more turns, the secondary voltage will be greater than the primary voltage.