Answer: 2 cm
Explanation:
Given , for a converging lens
Focal length :
Height of object :
Object distabce from lens :
Using lens formula: , we get
, where v = image distance from the lens.
On solving aboive equation , we get
Formula of Magnification : , where h' is the height of image.
Put value of u, v and h in it , we get
Hence, the height of the image is 2 cm.
Complete Question
A person throws a pumpkin at a horizontal speed of 4.0 m/s off a cliff. The pumpkin travels 9.5m horizontally before it hits the ground. We can ignore air resistance.What is the pumpkin's vertical displacement during the throw? What is the pumpkin's vertical velocity when it hits the ground?
Answer:
The pumpkin's vertical displacement is
The pumpkin's vertical velocity when it hits the ground is
Explanation:
From the question we are told that
The horizontal speed is
The horizontal distance traveled is
The horizontal distance traveled is mathematically represented as
Where t is the time taken
substituting values
=>
Now the vertical displacement is mathematically represented as
now the vertical velocity before the throw is zero
So
Now the final vertical velocity is mathematically represented as
substituting values