Convert into metres :
41 Pm (distance of nearest star)

The principle of 'parallax' is used in the determination of distance of nearby stars. The role of distant object O there is now taken by nearby distant stars. The baseline AB is the line joining the Earth's two locations six months apart in its orbit around the Sun. That is the baseline is about the disameter of the earth's orbit = 3 xx 10^11 m. However, even the nearest stars are so distant that with such a long baseline theyshow parallax only of the order 1 s of arc or so. A parsec is a convenient unit of length on the astronomical sxale. It is the distance of an object that will show a parallar of 1s of arc from opposite ends of a baseline equal to the distance from the Earth to the Sum How much is a parsec in terms of metre?

A water jet from the fountain reaches its maximum height of 4 metres at a distance of 0.5 metre from the vertical passing through the point A of the water outlet. Show that the height of the jet above the horizontal AX at a distance of 0.75 metre from the point A is 3 metres.

The point on a circle nearest to the point P(2,1) is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

Suppose the two photographs, shown in fig.13.1 and fig 13.2, had been taken at an interval of 10 seconds. If a distance of 100 metres is shown by 1 cm in these photographs, calculate the speed of the blue car.

An Apache helicopter of enemy is flying along the curve given by y = x^2 + 7 . A soldier, placed at (3, 7), wants to shoot down the helicopter when it is nearest to him. Find the nearest distance.

The angle of elevation of the top of a tower from a point A on the ground is 30^@ . On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60^@ . Find the height of the tower and distance of the tower from the point A.

Consider a sunlike start at a distance of 2 parsecsWhen it is seen through a telescope with 100 magnification, what should be the angular size of the star? Sun appears to be (1//2)^@ from the earth. Due to atmospheric fluctuationsw, eye can't resolve objects smaller than 1 arc minute.

Two long parallel wires carrying current 2.5 amperes and I ampere in the same Idirection ( directed into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of paper. The points P and Q are located at a distance of 5 metres and 2 metres respectively from a collinear point R ( see figure) An electron moving with a velocity of 4xx10^(5) m//s along the positive x- direction experiences a force of magnitude 3.2xx10^(-20) N at the point R. Find the value of I.

A telescope has an objective of diameter of 60 cm. The focal lengths of the objective and eye piece are 2.0 m and 1.0 cm respectively. The telescope is directed to view two distant almost point sources of light (e.g. two stars of a binary). The sources are at roughly the same distance (=10^4 light years) along the line of sight but separated transverse to the line of sight by a distnace of 10^10 m . what will the telescope resolve the two objects i.e. will it see two distinct stars?