An object is placed in front of a convex mirr | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Since there is no parallax,it means that both images (formed by the plane mirror and the convex mirror) coincide with each other.According to the

Vedclass · Accepted Answer

$25$

Vedclass · Answer

(B) Since there is no parallax,it means that both images (formed by the plane mirror and the convex mirror) coincide with each other.According to the property of a plane mirror,it will form an image at a distance of $30\, cm$ behind it. The plane mirror is placed at a distance of $30\, cm$ from the object and $20\, cm$ from the convex mirror (since the total distance is $50\, cm$).The image formed by the plane mirror is $30\, cm$ behind the plane mirror. Therefore,the distance of this image from the convex mirror is $20\, cm + 30\, cm = 50\, cm$ behind the convex mirror.For the convex mirror,the object distance is $u = -50\, cm$ and the image distance is $v = +50\, cm$.Using the mirror formula: $\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$$\frac{1}{f} = \frac{1}{50} + \frac{1}{-50} = 0$. This implies $f = \infty$,which is incorrect based on the provided diagram. Let's re-evaluate based on the diagram: The image is formed at $10\, cm$ behind the convex mirror. Thus,$v = +10\, cm$ and $u = -50\, cm$.$\frac{1}{f} = \frac{1}{10} + \frac{1}{-50} = \frac{5-1}{50} = \frac{4}{50} = \frac{2}{25}$$f = \frac{25}{2}\, cm$$R = 2f = 2 	imes \frac{25}{2} = 25\, cm$.

Similar Questions

An electric lamp is fixed at the ceiling of a circular tunnel as shown in the figure. What is the ratio of the intensities of light at base $A$ and a point $B$ on the wall?

The camera lens has an aperture of $f$ and the exposure time is $(1/60) \, s$. What will be the new exposure time if the aperture becomes $1.4 \, f$?

An object is placed at a distance of $15\,cm$ from a convex lens of focal length $10\,cm$. On the other side of the lens,a convex mirror is placed at its focus such that the image formed by the combination coincides with the object itself. The focal length of the convex mirror is.....$cm$

In the diagram shown,all the velocities are given with respect to the earth. What is the relative velocity of the image in mirror $(1)$ with respect to the image in mirror $(2)$? The mirror $(1)$ forms an angle $\beta$ with the vertical.

When sunlight falls normally on Earth,a luminous flux density (illuminance) of $1.57 \times 10^5 \; lm/m^2$ is produced on Earth. If the distance of Earth from the Sun is $1.5 \times 10^8 \; km$,what is the total luminous flux emitted by the Sun?

Vedclass Test Series

Exam Paper Generator

Online Exam Module