1.

An object moving at a speed of 5 m/s towards a concave mirror of local length f = 1 m is at a distance of 9 m. The average speed of the image is :

Answer»

`(1)/(5) m//s`
`(1)/(10)m//s`
`(5)/(9)m//s`
`(2)/(5)m//s`

Solution :(A) According to the mirror formula
`(1)/(V) + (1)/(u) = (1)/(f) or v = (fu)/(u-f)`
When an object is at a distance of 9 m from the concave mirror
`thereforeu=-9m,f=-1mrArrV=((-1)(-9))/(-9+1)=-(9)/(8)m`
As the object moves at a constant SPEED of `5ms^(-1)`, after 1s the position of image is
`u.=-9m+5m=-4mrArr V. = ((-1)(-4))/(-4+1)=-(4)/(3)m`
The shift in the position of image in 1 s is
`V-V.=(-9)/(8)+(4)/(3)=(-27+32)/(24)=(5)/(24)=(1)/(4.8)APPROX(1)/(5)`
Average speed of the image `= (1)/(5) ms^(-1)`.


Discussion

No Comment Found

Related InterviewSolutions