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The sun's angular diameter is measured t...

The sun's angular diameter is measured to be 1920''. The distance of the sun from the earth is `1.496xx10^(11)m.` What is the diameter of the sun?

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AI Generated Solution

To find the diameter of the sun given its angular diameter and distance from the Earth, we can follow these steps: ### Step 1: Understand the relationship between angular diameter, diameter, and distance The angular diameter (θ) in radians is related to the diameter (D) of an object and its distance (d) from the observer by the formula: \[ \theta = \frac{D}{d} \] From this, we can rearrange the formula to find the diameter: ...
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A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10cm . The diameter of the sun is 1.39xx10^(9)m and its mean distance from the earth is 1.5xx10^(11)m . What is the diameter of the sun's image on the paper ?

What is the order of magnitude of the distance of the sun from the earth in SI unit?

Knowledge Check

  • The earth receives its surface radiation from the sun at the rate of 1400 W//m^(2) . The distance of the centre of the sun from the surface of the earth is 1.5 xx 10^(11) m and the radius of the sun is 7.0 xx 10^(8) m. Treating sun as a black body, it follows from the above data that its surface temeperature is

    A
    5810 K
    B
    `10^(6)` K
    C
    50.1 K
    D
    `5801^(@)C`

  • A man is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm . The diameter of the sun is 1.39 xx 10^(9) m and the diameter of the sun's image on the paper is

    A
    `3.1 xx 10^(-4) cm`
    B
    `6.5 xx 10^(-5) cm`
    C
    `6.5 xx 10^(-4) m`
    D
    `9.2 xx 10^(-4) m`

  • A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is 1.5xx10^(8) away from the sun?

    A
    `1.4xx10^(6)` km
    B
    `1.4xx10^(7)` km
    C
    `1.4xx10^(8)` km
    D
    `1.4xx10^(9)` km

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    What is the order of magnitude of the distance of the sun from the earth in SI unit?

    The radius of the sun is 0.75xx10^(8)m and its distance from the earth is 1.5xx10^(11)m . Find the diameter of the image of the sun formed by a lens of focal length 40 cm

    When the sun is directly overhead, the surface of the earth receives 1.4 xx (10^3) W (m^-2) of sunlight. Assume that the light is monochromatic with average wavelength 500mn and that no light is absorbed in between the sun and the earth's surface. The distance between the sun and the earth is 1.5 xx (10^11) m. (a) Calculate the number of photons falling per second on each square metre of earth's surface directly below the sun. (b) How many photons are there in each cubic metre near the earth's surface at any instant? (c) How many photons does the sun emit per second?

    The diameter of the sun is 1.4 X 10^9m and its distance from the earth is 1.5 X 10^11 m . Find the radius of the image of the sun formed by a lens of focal length 20 cm.

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