The farthest objects in our Universe discovered by modern astronomers are so distant that light emitted by them takes billions of years to reach the Earth. These objects (known as quasars) have many puzzling features, which have not yet been satisfactorily explained. What is the distance in km of a quasar from which light takes 3.0 billion years to reach us? 

$\left(1\right) 3.2\times {10}^{22} km$
$\left(2\right) 3.7\times {10}^{22} km$
$\left(3\right) 2.8\times {10}^{22} km$
$\left(4\right) 2.1\times {10}^{22} km$

The base quantity among the following is 

(1) Speed 

(2) Weight 

(3) Length 

(4) Area 

Which of the following is not a unit of time?

(1) Second 

(2) minute 

(3) hour 

(4) light year

One astronomical unit is a distance equal to 

(1) 9.46$\times {10}^{15} m$
$$

(2) $1.496\times {10}^{11} m$
$$

(3) $3\times {10}^8 m$
$$

(4) $3.08\times {10}^{16 m}$ 

Ampere second is a unit of 

(1) Current 

(2) Charge 

(3) Energy 

(4) Power 

Which of the following is a units that of force?

(1) N m 

(2) mN

(3) nm 

(4) n S

The value of 60$°$ in radian is 

(1) $\frac{\pi }{2}$

(2) $\frac{\pi }{3}$

(3) $\frac{\pi }{4}$

(4) $\frac{\pi }{5}$

The total plane angle subtended by a circle at its centre is 

(1) $\pi rad$

(2) $2\pi rad$

(3) $\frac{2\pi }{3}rad$

(4) $\frac{\pi }{2}rad$

One unified atomic mass represents a mass of magnitude

(1) ${10}^{-30} Kg$

(2) $1.66 \times {10}^{27} Kg$

(3) $1.66\times {10}^{-27}$

(4)  $Kg {10}^{33} Kg$

A far off planet is estimated to be at a distance D from the earth. lf its diametrically opposite extremes subtend an angle at $\theta$ an observation situated on the earth, the approximate diameter of the planet is 

(1) $\frac{\theta }{D}$

(2) $\frac{D}{\mathit{\theta }}$

(3) $D\theta$

(4) $\frac{1}{D\theta }$