The percentage error in the measurement of \(g\) is:
(Given,  \(g=\frac{4\pi^2L}{T^2},L=(10\pm0.1)~\text{cm, }T=(100\pm1)~\text s\))
1. \(2\%\)
2. \(5\%\)
3. \(3\%\)
4. \(7\%\)

Subtopic:  Errors |
 77%
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NEET - 2022
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The correct option for the increasing order of 1st ionization enthalpy:\(Pb, Sn, Ge, Si \) is:
1. \(Pb < Sn < Ge < Si \)            
2. \(Sn < Pb < Si < Ge \)            
3. \(Sn < Pb < Ge < Si\)            
4. \( Pb <Sn < Si < Ge \)            
Subtopic:  Carbon Family - Preparations, Properties & Uses |
 58%
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The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is \(2.4\times 10^{39}.\) The ratio of the proportionality constant, \(k=\dfrac{1}{4\pi\varepsilon_0}\) to the gravitational constant \(G\) is nearly:
(Given that the charge of the proton and electron each \(=1.6\times 10^{-19},\) the mass of the electron \(=9.11\times 10^{-31}~\text{kg},\) the mass of the proton \(=1.67\times 10^{-27}~\text{kg}\) ):
1. \(10^{20}\)
2. \(10^{30}\)
3. \(10^{40}\)
4. \(10\)
Subtopic:  Coulomb's Law |
 62%
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NEET - 2022
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Two rods, one made of copper and the other made of steel, of the same length and same cross-sectional area are joined together. The thermal conductivity of copper and steel are \(385~\text{Js}^{-1}\text{K}^{-1}\text{m}^{-1}\) and \(50~\text{Js}^{-1}\text{K}^{-1}\text{m}^{-1}\) respectively. The free ends of copper and steel are held at \(100^\circ \text{C}\) and \(0^\circ \text{C}\) respectively. The temperature at the junction is, nearly:
1. \(12^\circ \text{C}\)
2. \(50^\circ \text{C}\)
3. \(73^\circ \text{C}\)
4. \(88.5^\circ \text{C}\)
Subtopic:  Conduction |
 74%
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NEET - 2022
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The magnetic field on the axis of a circular loop of radius \(100~\text{cm}\) carrying current \(I=\sqrt{2}~\text{A},\) at a point \(1~\text{m}\) away from the centre of the loop is given by:
1. \(3.14 \times 10^{-7} ~\text{T} \)
2. \(6.28 \times 10^{-7} ~\text{T} \)
3. \(3.14 \times 10^{-4} ~\text{T} \)
4. \(6.28 \times 10^{-4} ~\text{T}\)
Subtopic:  Magnetic Field due to various cases |
 58%
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In a gravitational field, the gravitational potential is given by; \(V=-\frac{K}{x}~\text{J/kg}.\) The gravitational field intensity at the point \((2,0,3)~\text m\) is:
1. \(+\dfrac K2\) 2. \(-\dfrac{K}{2}\)
3. \(-\dfrac{K}{4}\) 4. \(+\dfrac K4\)
Subtopic:  Gravitational Field |
From NCERT
NEET - 2022
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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the third contains sulfur hexafluoride (polyatomic). The correct statement, among the following, is:
1.  All vessels contain an unequal number of respective molecules.
2.  The root mean square speed of molecules is the same in all three cases.
3.  The root mean square speed of helium is the largest.
4.  The root mean square speed of sulfur hexafluoride is the largest.
Subtopic:  Types of Velocities |
 74%
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NEET - 2022
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The position-time \((x\text-t)\) graph for positive acceleration is:
1. 2.
3. 4.
Subtopic:  Graphs |
 81%
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NEET - 2022
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An organ pipe filled with a gas at \(27^\circ \text{C}\) resonates at \(400~\text{Hz}\) in its fundamental mode. If it is filled with the same gas at \(90^\circ \text{C},\) the resonance frequency at the same mode will be:
1. \(420~\text{Hz}\)
2. \(440~\text{Hz}\)
3. \(484~\text{Hz}\)
4. \(512~\text{Hz}\)
Subtopic:  Standing Waves |
 70%
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Six charges \(+q,\) \(-q,\) \(+q,\) \(-q,\) \(+q\) and \(-q\) are fixed at the corners of a hexagon of side \(d\) as shown in the figure. The work done in bringing a charge \(q_0\) to the centre of the hexagon from infinity is:
(\(\varepsilon_0\text-\)permittivity of free space)
1. zero 2. \(\dfrac{-q^2}{4\pi\varepsilon_0d}\)
3. \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(3-\dfrac{1}{\sqrt2}\Big)\) 4. \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(6-\dfrac{1}{\sqrt2}\Big)\)
Subtopic:  Electric Potential Energy |
 84%
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