The resolution of a telescope can be calculated using the formula:

θ = 1.22 * (λ/D)

where:
θ is the resolution in radians,
λ is the wavelength of light, and
D is the diameter of the objective lens.

In this case, we know the resolution (θ = 9.2 ×10−6 radians) and the diameter of the objective lens (D = 63 mm = 0.063 m), and we want to find the wavelength of light (λ).

Rearranging the formula to solve for λ gives:

λ = θ * D / 1.22

Substituting the known values gives:

λ = 9.2 ×10−6 * 0.063 / 1.22

Calculating this gives:

λ = 4.77 ×10−7 m, or 477 nm.

So, the wavelength of light passing through the telescope is approximately 477 nm.

Question

The resolution of a telescope can be calculated using the formula:

θ = 1.22 * (λ/D)

where:
θ is the resolution in radians,
λ is the wavelength of light, and
D is the diameter of the objective lens.

In this case, we know the resolution (θ = 9.2 ×10−6 radians) and the diameter of the objective lens (D = 63 mm = 0.063 m), and we want to find the wavelength of light (λ).

Rearranging the formula to solve for λ gives:

λ = θ * D / 1.22

Substituting the known values gives:

λ = 9.2 ×10−6 * 0.063 / 1.22

Calculating this gives:

λ = 4.77 ×10−7 m, or 477 nm.

So, the wavelength of light passing through the telescope is approximately 477 nm.

Knowee AI · Accepted Answer

The resolution of a telescope can be calculated using the formula:

θ = 1.22 * (λ/D)

where:
θ is the resolution in radians,
λ is the wavelength of light, and
D is the diameter of the objective lens.

In this case, we know the resolution (θ = 9.2 ×10−6 radians) and the diameter of the objective lens (D = 63 mm = 0.063 m), and we want to find the wavelength of light (λ).

Rearranging the formula to solve for λ gives:

λ = θ * D / 1.22

Substituting the known values gives:

λ = 9.2 ×10−6 * 0.063 / 1.22

Calculating this gives:

λ = 4.77 ×10−7 m, or 477 nm.

So, the wavelength of light passing through the telescope is approximately 477 nm.

The diameter of the objective lens of a small telescope is 63 mm. Determine the wavelength of light passing through the telescope if the resolution is 9.2 ×10−6 radians

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