"A galaxy is moving away from the earth at a speed of 286 kms$-$1. The shift in the wavelength of a redline at 630 nm is x $\times$ 10$-$10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c, as 3 $\times$ 108 ms$-$1]"

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"From Doppler effect, we know

$\lambda ' = \lambda \left[ {1 + {v \over c}} \right]$

here, $v = 286 \times {10^3}$ m/s

$c = 3 \times {10^8}$ m/s

$\therefore$ $\lambda ' - \lambda = {{\lambda v} \over c}$

$$ = {{630 \times {{10}^{ - 9}} \times 286 \times {{10}^3}} \over {3 \times {{10}^8}}}$$

= 6 $\times$ 10^$-$10 m"

A galaxy is moving away from the earth at a speed of 286 kms^$-$1. The shift in the wavelength of a redline at 630 nm is x $\times$ 10^$-$10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c, as 3 $\times$ 10⁸ ms^$-$1]

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A galaxy is moving away from the earth at a speed of 286 kms$-$1. The shift in the wavelength of a redline at 630 nm is x $\times$ 10$-$10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c, as 3 $\times$ 108 ms$-$1]

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A galaxy is moving away from the earth at a speed of 286 kms^$-$1. The shift in the wavelength of a redline at 630 nm is x $\times$ 10^$-$10 m. The value of x, to the nearest integer, is ____________. [Take the value of speed of light c, as 3 $\times$ 10⁸ ms^$-$1]