The focal lengths of the objective and eyepiece of a compound microscope are \(2\text{cm}\) and \(6.25\text{cm}\) respectively. An object \(AB\) is placed at a distance of \(2.5\text{cm}\) from the objective which forms the image \(A'B'\) as shown in the figure. The maximum magnifying power in this case, will be:
1. | \(10\) | 2. | \(20\) |
3. | \(5\) | 4. | \(25\) |
The correct statement is:
1. | The intermediate image in a compound microscope is real, erect and magnified |
2. | Intermediate image in a compound microscope is real, inverted, but diminished |
3. | Intermediate image in a compound microscope is virtual, erect and magnified |
4. | Intermediate image in a compound microscope is real, inverted and magnified |
In the case of a compound microscope, the image formed by the objective lens is:
1. | Virtual, erect, and diminished. |
2. | Real, erect, and magnified. |
3. | Virtual, inverted, and enlarged. |
4. | Real, inverted, and enlarged. |
The magnification of a compound microscope for the final image at the least distance of distinct vision is \(90\). The magnification of the objective lens is \(15\). The value of the focal length of the eyepiece will be:
1. \(5\) cm
2. \(6\) cm
3. \(\dfrac{1}{6}\) cm
4. \(12\) cm
If the focal length of the objective lens is increased, then magnifying power of:
1. | microscope will increase but that of telescope decrease |
2. | microscope and telescope both will increase |
3. | microscope and telescope both will decrease |
4. | microscope will decrease but that of the telescope will increase |
1. | \(75\) | 2. | \(110\) |
3. | \(140\) | 4. | \(25\) |
1. | \(32.75\) | 2. | \(327.5\) |
3. | \(0.3275\) | 4. | None of the above |
In a compound microscope, the magnification is \(95,\) the distance of the object from the objective lens is \(\left(\dfrac{1}{3.8}\right)~\text{cm}\) and the focal length of the objective is \(\dfrac{1}{4}~\text{cm}.\) What is the magnification of the eyepiece when the final image is formed at the least distance of distinct vision?
1. \(5\)
2. \(10\)
3. \(100\)
4. none of the above