The displacement-time graphs of two moving particles make angles of \(30^\circ\) and \(45^\circ\) with the x-axis as shown in the figure. The ratio of their respective velocity is:
       
1. \(1: \sqrt{3}\) 2. \(\sqrt{3}: 1\)
3. \(1:1\) 4.    \(1:2\)

Subtopic:  Graphs |
 69%
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The dimensions \([MLT^{-2}A^{-2}]\) belong to the:
1. electric permittivity
2. magnetic flux
3. self-inductance
4. magnetic permeability
Subtopic:  Dimensions |
From NCERT
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The peak voltage of the AC source is equal to:
 
1. \(1 / \sqrt{2}\) times the rms value of the AC source
2. the value of voltage supplied to the circuit
3. the rms value of the AC source
4. \(\sqrt{2}\) times the rms value of the AC source
Subtopic:  RMS & Average Values |
 75%
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The ratio of the distances travelled by a freely falling body in the \(1\)st, \(2\)nd, \(3\)rd and \(4\)th second is:
1. \(1:1:1:1\)
2. \(1:2:3:4\)
3. \(1:4:9:16\)
4. \(1:3:5:7\)
Subtopic:  Uniformly Accelerated Motion |
 79%
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A body of mass \(60~ \text{g}\)  experiences a gravitational force of \(3.0~\text{N}\) when placed at a particular point. The magnitude of the gravitational field intensity at that point is:
1. \(180 ~\text{N/kg}\) 2. \(0.05 ~\text{N/kg}\)
3. \(50 ~\text{N/kg}\) 4. \(20 ~\text{N/kg}\)
Subtopic:  Gravitational Field |
 70%
From NCERT
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In the given nuclear reaction, the element \(\mathrm{X}\) is:
\({ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu\)
1. \({ }_{12}^{22} \mathrm{Mg}\)
2. \({ }_{11}^{23} \mathrm{Na}\)
3. \({ }_{10}^{23} \mathrm{Ne}\)
4. \(_{10}^{22}\textrm{Ne}\)
Subtopic:  Types of Decay |
 64%
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If a soap bubble expands, the pressure inside the bubble:
1. is equal to the atmospheric pressure 2. decreases
3. increases 4. remains the same
Subtopic:  Surface Tension |
 67%
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Two resistors of resistance, \(100\) \(\Omega\) and \(200\) \(\Omega\) are connected in parallel in an electrical circuit. The ratio of the thermal energy developed in \(100\) \(\Omega\) resistor to that in \(200\) \(\Omega\) resistor in a given time is:
1. \(4:1\)
2. \(1:2\)
3. \(2:1\)
4. \(1:4\)
Subtopic:  Heating Effects of Current |
 67%
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Two hollow conducting spheres of radii \(R_1\) and \(R_2\) \(\left ( R_1\gg R_2 \right )\) have equal charges. The potential would be:
 
1. dependent on the material property of the sphere
2. more on bigger sphere
3. more on smaller sphere
4. equal on both the spheres
Subtopic:  Electric Potential |
 70%
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The angular speed of a flywheel moving with uniform angular acceleration changes from \(1200\) rpm to \(3120\) rpm in \(16\) s. The angular acceleration in rad/s² is:
1. \(104 \pi\)
2. \(2\pi\)
3. \(4\pi\)
4. \(12\pi\)
Subtopic:  Rotational Motion: Kinematics |
 73%
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