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A uniform circular disc of radius \(50~\text{cm}\) at rest is free to turn about an axis that is perpendicular to its plane and passes through its centre. It is subjected to a torque that produces a constant angular acceleration of \(2.0~\text{rad/s}^2.\) Its net acceleration in \(\text{m/s}^2\) at the end of \(2.0~\text s\) is approximately:

1. \(7\) 2. \(6\)
3. \(3\) 4. \(8\)
Subtopic:  Rotational Motion: Dynamics |
 61%
Level 2: 60%+
NEET - 2016
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What is the minimum velocity with which a body of mass \(m\) must enter a vertical loop of radius \(R\) so that it can complete the loop?
1. \(\sqrt{2 g R}\)
2. \(\sqrt{3 g R}\)
3. \(\sqrt{5 g R}\)
4. \(\sqrt{ g R}\)

Subtopic:  Gravitational Potential Energy |
 86%
Level 1: 80%+
NEET - 2016
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A small-signal voltage \(V(t)= V_0 \text{sin}(\omega t)\) is applied across an ideal capacitor \(C\): Find the correct statement from the options given below:
1. over a full cycle, the capacitor \(C\) does not consume any energy from the voltage source.
2. current \(I(t)\) is in phase with voltage \(V(t)\).
3. current \(I(t)\) leads voltage \(V(t)\) by \(180^{\circ}\).
4. current \(I(t)\), lags voltage \(V(t)\) by \(90^{\circ}\).
Subtopic:  Power factor |
 76%
Level 2: 60%+
NEET - 2016
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A uniform rope, of length \(L\) and mass \(m_1,\) hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2.\) The ratio \(\frac{\lambda_2}{\lambda_1}\) is:

1. \(\sqrt{\dfrac{m_1+m_2}{m_2}}\) 2. \(\sqrt{\dfrac{m_2}{m_1}}\)
3. \(\sqrt{\dfrac{m_1+m_2}{m_1}}\) 4. \(\sqrt{\dfrac{m_1}{m_2}}\)
Subtopic:  Travelling Wave on String |
 72%
Level 2: 60%+
NEET - 2016
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An inductor \(20~\text{mH}\), a capacitor \(50~\mu \text{F}\), and a resistor \(40~\Omega\) are connected in series across a source of emf \(V= 10\text{sin}340t\). The power loss in the AC circuit is:
1. \(0.67~\text{W}\) 2. \(0.76~\text{W}\)
3. \(0.89~\text{W}\) 4. \(0.51~\text{W}\)
Subtopic:  Power factor |
 50%
Level 3: 35%-60%
NEET - 2016
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An electron of mass \(m\) and a photon have the same energy \(E.\) The ratio of de-Broglie wavelengths associated with them is:
(\(c\) is the velocity of light)
1. \( \sqrt{\left(\frac{{E}}{2 {m}}\right)}\) 2. \({c}\sqrt{(2 {mE})}\)
3. \( \frac{1}{{c}}\sqrt{\left(\frac{2 m}{E}\right)}\) 4. \(\frac{1}{{c}}\sqrt{\left(\frac{{E}}{2 {m}}\right)}\)
Subtopic:  De-broglie Wavelength |
 71%
Level 2: 60%+
NEET - 2016
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When an \(\alpha\text-\)particle of mass \(m\) moving with velocity \(v\) bombards on a heavy nucleus of charge \(Ze\), its distance of closest approach from the nucleus depends on \(m\) as:
1. \(\dfrac{1}{\sqrt{m}}\) 2. \(\dfrac{1}{m^{2}}\)
3. \(m\) 4. \(\dfrac{1}{m}\)
Subtopic:  Various Atomic Models |
 76%
Level 2: 60%+
NEET - 2016
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A refrigerator works between 40C and 300C. It is required to remove 600 calories of heat every second to keep the temperature of the refrigerated space constant. The power required will be: 
(Take, 1 cal= 4.2 Joules)
1. 23.65 W
2. 236.5 W
3. 2365 W
4. 2.365 W
 73%
Level 2: 60%+
NEET - 2016
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A particle of mass \(10\) g moves along a circle of radius \(6.4\) cm with a constant tangential acceleration. What is the magnitude of this acceleration, if the kinetic energy of the particle becomes equal to \(8 \times 10^{-4}\) J by the end of the second revolution after the beginning of the motion?
1. \(0.15\) m/s2 2. \(0.18\) m/s2
3. \(0.2\) m/s2 4. ​​​​​​\(0.1\) m/s2
Subtopic:  Circular Motion |
 51%
Level 3: 35%-60%
NEET - 2016
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The angle of incidence for a ray of light at a refracting surface of a prism is \(45^{\circ}\). The angle of the prism is \(60^{\circ}\). If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:
1. \(45^{0},~\sqrt{2}\) 2. \(30^{0},~\sqrt{2}\)
3. \(30^{0},~\frac{1}{\sqrt{2}}\) 4. \(45^{0},~\frac{1}{\sqrt{2}}\)
Subtopic:  Prisms |
 82%
Level 1: 80%+
NEET - 2016
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