The position of a particle is given by; \(\vec r(t)=4t\hat i+2t^2\hat j+5\hat k,\) where \(t\) is in seconds and \(r\) in metres. Find the magnitude and direction of the velocity \(v(t)\), at \(t=1~\text{s},\) with respect to the \(x\text-\)axis.
1. \(4\sqrt2~\text{ms}^{-1},45^\circ\)
2. \(4\sqrt2~\text{ms}^{-1},60^\circ\)
3. \(3\sqrt2~\text{ms}^{-1},30^\circ\)
4. \(3\sqrt2~\text{ms}^{-1},45^\circ\)
1. \(4\sqrt2~\text{ms}^{-1},45^\circ\)
2. \(4\sqrt2~\text{ms}^{-1},60^\circ\)
3. \(3\sqrt2~\text{ms}^{-1},30^\circ\)
4. \(3\sqrt2~\text{ms}^{-1},45^\circ\)
Subtopic: Speed & Velocity |
81%
Level 1: 80%+
NEET - 2023
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A lens is made up of \(3\) different transparent media as shown in the figure. A point object \(O\) is placed on its axis beyond \(2f\). How many real images will be obtained on the other side?
1. \(2\)
2. \(1\)
3. No image will be formed
4. \(3\)
1. \(2\)
2. \(1\)
3. No image will be formed
4. \(3\)
Subtopic: Lenses |
67%
Level 2: 60%+
NEET - 2023
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On the basis of electrical conductivity, which one of the following material has the smallest resistivity?
1. Germanium
2. Silver
3. Glass
4. Silicon
1. Germanium
2. Silver
3. Glass
4. Silicon
Subtopic: Derivation of Ohm's Law |
65%
Level 2: 60%+
NEET - 2023
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The ground state energy of a hydrogen atom is \(-13.6~\text{eV}.\) The energy needed to ionize the hydrogen atom from its second excited state will be:
1. \(13.6~\text{eV}\)
2. \(6.8~\text{eV}\)
3. \(1.51~\text{eV}\)
4. \(3.4~\text{eV}\)
1. \(13.6~\text{eV}\)
2. \(6.8~\text{eV}\)
3. \(1.51~\text{eV}\)
4. \(3.4~\text{eV}\)
Subtopic: Bohr's Model of Atom |
64%
Level 2: 60%+
NEET - 2023
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The mechanical quantity, which has dimensions of reciprocal of mass \((M^{-1}),\) is:
| 1. | angular momentum |
| 2. | coefficient of thermal conductivity |
| 3. | torque |
| 4. | gravitational constant |
Subtopic: Dimensions |
60%
Level 2: 60%+
NEET - 2023
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The variation of susceptibility \((\chi)\) with absolute temperature \((T)\) for a paramagnetic material is represented as:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
59%
Level 3: 35%-60%
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The diameter of a spherical bob, when measured with vernier callipers yielded the values: \(3.33\) cm, \(3.32\) cm, \(3.34\) cm, \(3.33\) cm and \(3.32\) cm. The mean diameter to appropriate significant figures is:
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
1. \(3.328\) cm
2. \(3.3\) cm
3. \(3.33\) cm
4. \(3.32\) cm
Subtopic: Measurement & Measuring Devices |
59%
Level 3: 35%-60%
NEET - 2023
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A bullet of mass \(m\) hits a stationary block of mass \(M\) elastically. The transfer of energy is the maximum, when:
1. \(M=m\)
2. \(M=2m\)
3. \(M\ll m\)
4. \(M\gg m\)
1. \(M=m\)
2. \(M=2m\)
3. \(M\ll m\)
4. \(M\gg m\)
Subtopic: Collisions |
58%
Level 3: 35%-60%
NEET - 2023
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For the given cycle, the work done during the isobaric process is:
1. \(200\) J
2. zero
3. \(400\) J
4. \(600\) J
1. \(200\) J
2. zero
3. \(400\) J
4. \(600\) J
Subtopic: Work Done by a Gas |
56%
Level 3: 35%-60%
NEET - 2023
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The escape velocity of a body on the earth's surface is \(11.2~\text{km/s}.\) If the same body is projected upward with a velocity \(22.4~\text{km/s},\) the velocity of this body at an infinite distance from the centre of the earth will be:
| 1. | \(11.2\sqrt2~\text{km/s}\) | 2. | zero |
| 3. | \(11.2~\text{km/s}\) | 4. | \(11.2\sqrt3~\text{km/s}\) |
Subtopic: Escape velocity |
Level 3: 35%-60%
NEET - 2023
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