Question

In: Physics

A fly appears to be upside down and 4 times its actual size when viewed through...

A fly appears to be upside down and 4 times its actual size when viewed through a converging lens with a focal length of 4 cm. How far is the fly from the lens?

Solutions

Expert Solution

Solution :

It is a very simple problem.

We know Linear Magnification (m) produced by lens is defined as the ratio of size of image with respect to size object.

m = I / O

m = 4 (given in Question)

We also know Linear Magnification  produced by lens is also given by m = V / U

m = Image distance / Object Distance == Height of Image / Height of Object

m = V / U = I / O

4 = V / U   V = 4 U

From Lens formula,

1 / f = 1 / V - 1 / U

Focal Length f = 4 cm (given)

so,

1 / 4 = 1 / V - 1 / U

1 / 4 = 1 / 4U - 1 / U (since V = 4U)

U = -3 cm

i.e. Object is 3 cm far from lens.Negative sign shows that object is on Left side of converging lens.

Answer : -3cm or 3cm on left side.


Related Solutions

Why does a frisbee behave differently when thrown upside down?
Why does a frisbee behave differently when thrown upside down?
If a person was hung upside down, how would the following be affected compared to when...
If a person was hung upside down, how would the following be affected compared to when the person was standing up straight? a) Stroke Volume b) ANP release c) Na reabsorption d) Diuresis e) Sympathetic activation
An object with a size r0 has a Reynolds number of 4 when it moves through...
An object with a size r0 has a Reynolds number of 4 when it moves through a fluid at a speed v0. What is the Reynolds number for an object with a size 2r0 moving through the same fluid at a speed v0/2? The answer is 4. Please explain why and what concepts were used to get to this answer!!!
The Hebrides Macaque sleeps upside down, hanging off of tree branches by its thick, strong tail....
The Hebrides Macaque sleeps upside down, hanging off of tree branches by its thick, strong tail. The body-length, mass, tail length, and tail diameter (or 'thickness') is measured in a population of these monkeys. The dimensions for a particular juvenile specimen are as follows: Body length: 35 cm Mass: 13 kg Unstrained tail length: 30 cm Tail thickness: 3 cm (a) Assuming that the tail is essentially cylindrical and acts under tension as an elastic material with Young's modulus 4.5××1066...
I roll a die 4 times. I win if a six appears. To make this game...
I roll a die 4 times. I win if a six appears. To make this game more interesting, I decide to add a second die and target the appearance of a double six. I reason as follows: a double six is one-sixth as likely as a six — 1/36 compared to 1/6. I should be able to increase the number of rolls by a factor of 6 (now 24 rolls) and still maintain the same probability of winning. Is this...
The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 10.7 cmcm behind the mirror.
CE CHP 22 QS 11The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 10.7 cmcm behind the mirror.What is its radius of curvature?
1)Why would an LCD display on calculators or electronic wristwatches appear completely black when viewed through...
1)Why would an LCD display on calculators or electronic wristwatches appear completely black when viewed through polarized sunglasses? How could one read the display without removing the sunglasses? 2)Why might it be beneficial for a photographer to have a polarizing filter for their camera when taking pictures outdoors? 3)What does the vertical polarization axis of polarized sunglasses indicate about the direction of polarization of light bouncing off a horizontal surface, such as a wet road or lake surface? Hint: The...
Explain the 4 times when you form a work team?
Explain the 4 times when you form a work team?
The speed of a projectile when it reaches its maximum height is 0.56 times its speed...
The speed of a projectile when it reaches its maximum height is 0.56 times its speed when it is at half its maximum height. What is the initial projection angle of the projectile?
When chloride channels open, chloride ions will flow through the membrane down their electrochemical gradient. If...
When chloride channels open, chloride ions will flow through the membrane down their electrochemical gradient. If you have channels in a cell membrane with a membrane potential of –30 mV inside, and you have chloride concentrations of 40 mM inside the cell and 120 mM outside. What would the spontaneous direction of the chloride flow be, and what would the free energy change of transport be in the spontaneous direction?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT