An astronomical telescope has an objective and an eyepiece of focal lengths \(40\text{cm}\) and \(4\text{cm}\) respectively. To view an object \(200\text{cm}\) away from the objective, the lenses must be separated by a distance:
| 1. | \(46.0\text{cm}\) | 2. | \(50.0\text{cm}\) |
| 3. | \(54.0\text{cm}\) | 4. | \(37.3\text{cm}\) |
Subtopic: Telescope |
63%
Level 2: 60%+
NEET - 2016
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An n-p-n transistor is connected in the common-emitter configuration in a given amplifier. A load resistance of 800 is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuits is 192 , the voltage gain and the power gain of the amplifier will respectively be:
1. 3.69, 3.84
2. 4, 4
3. 4, 3.69
4. 4, 3.84
2. 4, 4
3. 4, 3.69
4. 4, 3.84
70%
Level 2: 60%+
NEET - 2016
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A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then,
| 1. | compressing the gas through an adiabatic process will require more work to be done. |
| 2. | compressing the gas isothermally or adiabatically will require the same amount of work. |
| 3. | which of the case (whether compression through isothermal or through the adiabatic process) requires more work will depend upon the atomicity of the gas. |
| 4. | compressing the gas isothermally will require more work to be done. |
Subtopic: Types of Processes |
73%
Level 2: 60%+
NEET - 2016
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A long straight wire of radius a carries a steady current \(I\). The current is uniformly distributed over its cross-section. The ratio of the magnetic fields \(B\) and \(B'\) at radial distances \(\frac{a}{2}\) and \(2a\) respectively, from the axis of the wire, is:
| 1. | \(\dfrac{1}{2}\) | 2. | \(1\) |
| 3. | \(4\) | 4. | \(\dfrac{1}{4}\) |
Subtopic: Ampere Circuital Law |
61%
Level 2: 60%+
NEET - 2016
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Match the corresponding entries of Column-I with Column-II.
(Where \(m\) is the magnification produced by the mirror)
Codes:
(Where \(m\) is the magnification produced by the mirror)
| Column-I | Column-II | ||
| A. | \(m= -2\) | I. | convex mirror |
| B. | \(m= -\frac{1}{2}\) | II. | concave mirror |
| C. | \(m= +2\) | III. | real Image |
| D. | \(m= +\frac{1}{2}\) | IV. | virtual Image |
Codes:
| A | B | C | D | |
| 1. | I & III | I & IV | I & II | III & IV |
| 2. | I & IV | II & III | II & IV | II & III |
| 3. | III & IV | II & IV | II & III | I & IV |
| 4. | II & III | II & III | II & IV | I & IV |
Subtopic: Reflection at Spherical Surface |
77%
Level 2: 60%+
NEET - 2016
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If the velocity of a particle is \(v=At+Bt^{2},\) where \(A\) and \(B\) are constants, then the distance travelled by it between \(1~\text{s}\) and \(2~\text{s}\) is:
| 1. | \(3A+7B\) | 2. | \(\frac{3}{2}A+\frac{7}{3}B\) |
| 3. | \(\frac{A}{2}+\frac{B}{3}\) | 4. | \(\frac{3A}{2}+4B\) |
Subtopic: Instantaneous Speed & Instantaneous Velocity |
88%
Level 1: 80%+
NEET - 2016
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A disc and a solid sphere of the same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first?
1. Sphere
2. Both reach at the same time
3. Depends on their masses
4. Disc
69%
Level 2: 60%+
NEET - 2016
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Two identical charged spheres suspended from a common point by two massless strings of lengths \(l,\) are initially at a distance \(d\) \(\left ( d\ll l \right )\) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity \(v.\) Then, \(v\) varies as a function of the distance \(x\) between the sphere, as:
1. \(v\propto x\)
2. \(v\propto x^{-1/2}\)
3. \(v\propto x^{-1}\)
4. \(v\propto x^{1/2}\)
1. \(v\propto x\)
2. \(v\propto x^{-1/2}\)
3. \(v\propto x^{-1}\)
4. \(v\propto x^{1/2}\)
Subtopic: Coulomb's Law |
77%
Level 2: 60%+
NEET - 2016
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A particle moves so that its position vector is given by, \(\vec{r}=\cos \omega t ~\hat{x}+ \sin \omega t~ \hat{y },\) where \(\omega\) is a constant. Which of the following is true?
| 1. | The velocity and acceleration both are parallel to \(\vec{r }.\) |
| 2. | The velocity is perpendicular to \(\vec{r }\) and acceleration is directed towards to origin. |
| 3. | The velocity is parallel to \(\vec{r }\) and acceleration is directed away from the origin. |
| 4. | The velocity and acceleration both are perpendicular to \(\vec{r}.\) |
Subtopic: Circular Motion |
78%
Level 2: 60%+
NEET - 2016
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A piece of ice falls from a height \(h\) so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice. The value of \(h\) is:
(Latent heat of ice is \(3.4 \times 10^5~\text{J/kg}\) and \(g=10~\text{N/kg}\))
(Latent heat of ice is \(3.4 \times 10^5~\text{J/kg}\) and \(g=10~\text{N/kg}\))
| 1. | \(544~\text{km}\) | 2. | \(136~\text{km}\) |
| 3. | \(68~\text{km}\) | 4. | \(34~\text{km}\) |
Subtopic: Calorimetry |
83%
Level 1: 80%+
NEET - 2016
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