Home
Class 12
PHYSICS
What is the velocity (in cms^(-1) ) of ...

What is the velocity (in cm`s^(-1)` ) of image in situation shown in figure, `(O=` object, `f=` focal length ). Object moves with velocity `10cm//s` and mirror moves with velocityy `2cms^(-1)` as shown.

Text Solution

Verified by Experts

The correct Answer is:
0
`(1)/(y)+(1)/(-x_(1))=(1)/(10)` (i)
`(1)/(y)-(1)/(10)=(1)/(10)rArry=5cm`
`(dx)/(dt)=10cms^(-1), (d(x+x_(1)))/(dt)=2cms^(-1)`
`(dx_(1))/(dt)=-8cms^(-1)`
`(dy)/(dt)=v_(i)=2`
From (i) `:(dy)/(dt)=((y)/(x_(2)))^(2)(dx_(1))/(dt)`
`rArrv_(i)-2=((5)/(10))^(2)(-8)rArr v_(i)=0`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Archives|7 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise True/False|5 Videos

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|51 Videos

  • ELECTRON,PHONTS,PHOTOELECTRIC EFFECT & X-RAYS

    CENGAGE PHYSICS ENGLISH|Exercise dpp 3.3|15 Videos

  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Thermal Power in Resistance Connected in Circuit|27 Videos

Similar Questions

Explore conceptually related problems

Find the velocity of image of a moving particle O in the situation as shown in the figure.

Column -I shows different situations in which an object O is shown in front of the optical element. Column-II gives the corresponding velocity vector of the image of the object. Object is moving with velocity v and diverging mirror is moving with velocity 2v

Focal length of the mirror shown in figure is 20cm. Find the image position and its velocity.

(a) In the figure shown a slab of refractive index (3)/(2) is moved toward a stationary observer with speed 6 cm//s . A point O is observed by the observer with the help of paraxial rays through the slab. Both O and observer lie in are. Find the velocity (in cm//s ) with which the image will appear to move to observer. (b) in the previous question if the object moves towards rigth with a velocity of 6 cm//s and find the velocity of the final image (in cm//s ) as seen by observer :

A point object is placed on the principle axis at 60cm in fornt of a concave mirror of focal length 40cm on the principle axis. If the object is moved with a velocity of 10cm/s (a) find velocity of image along principle axis (b) perpendicular axis, find the velocity of image at the moment.

An object and a plane mirror are shown in figure. Mirror is moved with velocity V as shown. The velocity of image is : .

A linear object is placed along the axis of a mirror as shown in figure. If 'f' is the focal length of the mirror then the length of image is-

A spherical mirror from image at distance 10 cm of an object at distance 30 cm from mirror. If object start moving with velocity 9cm/sec. Find velocity of image

An object is moving towards a mirror with a velocity of 10 ms^(-1) as shown in the figure. If the collision between the mirror and the object is perfectly elastic, then the velocity of the image after collision with mirror in vector form is

Find the magnitude of velocity of image of a point object O with respect to object, which is moving with velocity 2m/s in vertical direction as shown in the figure. The plane mirror that is inclined to horizontal at 45^(@) is alos moving horizontally with velocity 2m/s towards left.