A Wheatstone bridge is used to determine the value of unknown resistance \(X\) by adjusting the variable resistance \(Y\) as shown in the figure. For the most precise measurement of \(X\), the resistances \(P\) and \(Q\):
1. do not play any significant role.
2. should be approximately equal to \(2X\).
3. should be approximately equal and are small.
4. should be very large and unequal.
Subtopic:  Wheatstone Bridge |
 76%
Level 2: 60%+
NEET - 2022
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Two point charges \({-q}\) and \({+q}\) are placed at a distance of \({L},\) as shown in the figure.
          
The magnitude of electric field intensity at a distance \({R}~(R \gg L )\) varies as:
1. \(\dfrac{1}{{R}^{6}}\) 2. \(\dfrac{1}{{R}^{2}}\)
3. \(\dfrac{1}{{R}^{3}}\) 4. \(\dfrac{1}{{R}^{4}}\)
Subtopic:  Electric Dipole |
 71%
Level 2: 60%+
NEET - 2022
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Match List-I with List-II.
List-I List-II
(a) Gravitational constant (\(G\)) (i) \([{L}^2 {~T}^{-2}] \)
(b) Gravitational potential energy (ii) \([{M}^{-1} {~L}^3 {~T}^{-2}] \)
(c) Gravitational potential (iii) \([{LT}^{-2}] \)
(d) Gravitational intensity (iv) \([{ML}^2 {~T}^{-2}]\)
Choose the correct answer from the options given below:
(a) (b) (c) (d)
1. (iv) (ii) (i) (iii)
2. (ii) (i) (iv) (iii)
3. (ii) (iv) (i) (iii)
4. (ii) (iv) (iii) (i)
Subtopic:  Gravitational Potential |
 72%
Level 2: 60%+
NEET - 2022
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A series \(LCR\) circuit with inductance \(10~\text{H}\), capacitance \(10~\mu \text{F}\), resistance \(50~\Omega\) is connected to an AC source of voltage, \(V=200 \sin (100 t) \text { volt }\). If the resonant frequency of the \(LCR\) circuit is \(\nu_0\) and the frequency of the AC source is \(\nu\), then:
1. \(\nu=100 ~\text{Hz} ; ~\nu_0=\dfrac{100}{\pi} ~\text{Hz}\)
2. \(\nu_0=\nu=50~\text{Hz}\)
3. \(\nu_0=\nu=\dfrac{50}{\pi} ~\text{Hz}\)
4. \(\nu_{0}=\dfrac{50}{\pi}~ \text{Hz}, \nu=50 ~\text{Hz}\)
Subtopic:  Different Types of AC Circuits |
 75%
Level 2: 60%+
NEET - 2022
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A ball is projected with a velocity of \(10~\text{m/s}\) at an angle of \(60^\circ\) with the vertical direction. Its speed at the highest point of its trajectory will be:
1. \(10~\text{m/s}\) 2. zero
3. \(5\sqrt{3}~\text{m/s}\) 4. \(5~\text{m/s}\)
Subtopic:  Projectile Motion |
 61%
Level 2: 60%+
NEET - 2022
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What is the pH of a solution prepared by mixing equal volumes (50 mL each) of 0.10 M sodium acetate and 0.01 M acetic acid?
[Given pKa of CH3COOH = 4.57]
1. 2.57
2. 5.57
3. 3.57
4. 4.57

Subtopic:  pH calculation |
 66%
Level 2: 60%+
NEET - 2022
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The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure.
Which of the following statement(s) is(are) correct?

a. \( T_1=T_2\)
b. \( T_3>T_1\)
c. \( w_{\text {isothermal }}>w_{\text {adiabatic }}\)
d. \( \Delta U_{\text {isothermal }}>\Delta U_{\text {adiabatic }} \)
1. a, c, d 2. b, c
3. d, a 4. None of the above
Subtopic:  Enthalpy & Internal energy |
 57%
Level 3: 35%-60%
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A solution contains 25% water (\(H_2O\)), 25% ethanol \((C_2H_5OH)\) and 50% acetic acid \((CH_3COOH)\) by mass.
Which of the following pairs correctly matches a substance with its mole fraction?
(a) Water \(=0.502\)
(b) Ethanol \(=0.302\)
(c) Acetic acid \(=0.196\)
(d) Ethanol + Acid \(=0.497\)

Choose the correct option:
1. (a) and (b)
2. (c) and (d)
3. (a) and (d)
4. None of the above
Subtopic:  Concentration Based Problem |
 56%
Level 3: 35%-60%
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The correct decreasing order of ion sizes is:

1. Li+ > H+ > H-
2. H+ > H- > Li+
3. H- > Li+ > H+
4. H- > H+ > Li+
Subtopic:  Atomic Size |
 67%
Level 2: 60%+
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Given below are two statements:
Statement I: Primary aliphatic amines react with HNO2 to give unstable diazonium salts.
Statement II: Primary aromatic amines react with HNO2 to form diazonium salts which are stable even above 300 K.
In the light of the above statements, choose the most appropriate answer from the options given below:
1. Statement I is incorrect but Statement II is correct
2. Both Statement I and II are correct
3. Both Statement I and II are incorrect
4. Statement I is correct but Statement II is incorrect
Subtopic:  Diazonium Salts: Preparation, Properties & Uses |
 53%
Level 3: 35%-60%
NEET - 2022
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