11. A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, calculate the orbital speed of the satellite.
12. An object is placed at a distance of 40 cm from a convex spherical mirror of radius of curvature 20 cm. At what distance from the object should a plane mirror be placed so that the image in the spherical mirror and plane mirror may be in one plane?13. What is displacement reaction? Explain with example. Also write down the reactivity series of the metals.
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11. Gravitational force provides the necessary centripetal force.
? mv2/(R+x) = GmM / (R+x)2 also g = GM /R2
? mv2/( R+x ) = m (GM/R2) R2/( R + x )2
? v2 = gR2/R+x ? v = (gR2 / R+x )1/2
12.It just needs to be done as two separate calculations then the difference of the two answers is found.
In the initial setup, the object distance is 40 cm, which gives 24 cm image distance given the focal length of 15 cm. (equation: 1/15= 1/40 + 1/i)
The second equation changes object distance to 20 cm (40–20), which results in 60 cm as the image distance. (equation: 1/15= 1/20 + 1/i)
The difference between 60 and 24 is 36 cm (in the direction away from mirror).
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