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

Subtopic:  Measurement & Measuring Devices |
 59%
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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 
Subtopic:  Derivation of Ohm's Law |
 65%
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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%
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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. \(600\)
Subtopic:  Work Done by a Gas |
 56%
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An AC source is connected to the given circuit. The value of \(\phi\) will be:
1. \(60^\circ\) 2. \(90^\circ\)
3. \(30^\circ\) 4. \(45^\circ\)
Subtopic:  Different Types of AC Circuits |
 68%
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The given circuit is equivalent to:
 
1.
2.
3.
4.
Subtopic:  Logic gates |
 68%
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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. \(3\sqrt2~\text{ms}^{-1},45^\circ\)
Subtopic:  Speed & Velocity |
 81%
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The equivalent capacitance of the arrangement shown in the figure is:
             
1. \(30~\mu \text{F}\)
2. \(15~\mu \text{F}\)
3. \(25~\mu\text{F}\)
4. \(20~\mu\text{F}\)
Subtopic:  Combination of Capacitors |
 72%
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Match List - I with List - II
List-I List-II
(A) Protein (I) C=C double bonds
(B) Unsaturated fatty acid (II) Phosphodiester bond
(C) Nucleic acid (III) Glycosidic bonds
(D) Polysaccharide (IV) Peptide bonds
Choose the correct answer from the options given below:
Options: (A) (B) (C) (D)
1. II I IV III
2. IV III I II
3. IV I II III
4. I IV III II
Subtopic:  Nucleic Acid | Proteins | Lipids | Carbohydrates: Glycosidic Bond & Disaccharide |
 87%
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A certain wire \(A\) has resistance \(81~\Omega.\) The resistance of another wire \(B\) of the same material and equal length but of diameter thrice the diameter of \(A\) will be:
1. \(81~\Omega\) 2. \(9~\Omega\)
3. \(729~\Omega\) 4. \(243~\Omega\)
Subtopic:  Derivation of Ohm's Law |
 75%
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