Determine the image distance for an object placed 38.3 cm from a convex lens having a focal length of 13.4 cm.

Question

BlackTom AI · Accepted Answer

Consider a thin lens with focal length f = 13.4 cm and an object placed at distance u = 38.3 cm from the lens on the object side.

For a thin lens, the standard relation using magnitudes is v = fu / (u - f).

Plugging in the values: v = (13.4 cm)(38.3 cm) / (38.3 cm − 13.4 cm).

Compute the numerator: 13.4 × 38.3 = 513.22.

Compute the denominator: 38.3 − 13.4 = 24.9.

Divide: v = 513.22 / 24.9 ≈ 20.6 cm.

This positive value indicates the image forms on the opposite side of the lens from the object, i.e., a real image for a convex lens when the object distance is greater than zero and the object is outside the focal length.

A couple of quick checks can help confirm the result:
- Since u (38.3 cm) is greater than f (13.4 cm), the lens should produce a real image on the far side, not a virtual image.
- The image distance being roughly 20.6 cm is less than u, which is typical for a convex lens with the object located beyond the focal point.

If one were to round differently during intermediate steps, the final value might appear as 20.60 cm or 20.64 cm depending on precision, but they are all in the same ballpark for these inputs.

Physics 1 Hon - Bowles - p06/p07 P10.22 - Lesson 6 Exit Ticket

Determine the image distance for an object placed 38.3 cm from a convex lens having a focal length of 13.4 cm.

查看解析

登录即可查看完整答案

类似问题

An object is placed 28.8 cm in front of a converging lens with a focal length of 7.4 cm. Calculate the position of the image formed by the lens.Give your answer in cm to 2 decimal places without unitsFor example: 25.00

A student placed an object at various distances, do , from a converging lens. The corresponding image distance ,di, was measured and recorded in the data table below. What is the focal length of the lens?

The power of a lens is 40D, which of the following is the shortest possible object distance to form a real image?

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单