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Physics Motion in Plane Physics Class 11th Motion in a Plane

A huge circular arc of length 4.4 ly subtends an angle ‘4s’ at the centre of the circle. How long it would take for a body to complete 4 revolution of its speed is 8 AU per second?

Given : 1 ly = 9.46 × 10¹⁵m

1 AU = 1.5 × 10¹¹m

Option 1 -

4.5 * 10¹⁰s

Option 2 -

4.1 * 10⁸s

Option 3 -

3.5 * 10⁶s

Option 4 -

7.2 *10⁸s

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Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

a month ago

Correct Option - 1

Detailed Solution:

$R = \frac{l}{θ}$

$\Rightarrow T i m e = \frac{4 \times 2 π R}{V} = \frac{4 \times 2 π x}{V} (\frac{l}{θ})$

Time $= \frac{4 \times 2 π \times 4.4 \times 9.64 \times 1 0^{15}}{8 \times 1.5 \times 1 0^{11} \times \frac{4}{3600} \times \frac{π}{180}}$

$\Rightarrow T i m e = 4.5 \times 1 0^{10} s o c s$

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A huge circular arc of length 4.4 ly subtends an angle ‘4s’ at the centre of the circle. How long it would take for a body to complete 4 revolution of its speed is 8 AU per second?

Given : 1 ly = 9.46 × 10¹⁵m

1 AU = 1.5 × 10¹¹m

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A huge circular arc of length 4.4 ly subtends an angle ‘4s’ at the centre of the circle. How long it would take for a body to complete 4 revolution of its speed is 8 AU per second? Given : 1 ly = 9.46 × 1015m 1 AU = 1.5 × 1011m

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A huge circular arc of length 4.4 ly subtends an angle ‘4s’ at the centre of the circle. How long it would take for a body to complete 4 revolution of its speed is 8 AU per second?

Given : 1 ly = 9.46 × 10¹⁵m

1 AU = 1.5 × 10¹¹m