If \(\vec F=2\hat i+\hat j-\hat k\) and \(\vec r=3\hat i+2\hat j-2\hat k,\) then the scalar and vector products of \(\vec F\) and \(\vec r\) have the magnitudes, respectively, as:
1.  \(5, ~\sqrt3\)
2.  \(4,~ \sqrt5\)
3.  \(10, ~\sqrt2\)
4.  \(10,~2\)

Subtopic:  Vector Product |
 75%
From NCERT
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After passing through a polarizer, a linearly polarized light of intensity \(I\) is incident on an analyser making an angle of \(30^\circ\) with the axes of the polariser. The intensity of light emitted from the analyser will be:
1. \(\frac{I}{2}\) 2. \(\frac{I}{3}\)
3. \(\frac{3I}{4}\) 4. \(\frac{2I}{3}\)
Subtopic:  Polarization of Light |
 79%
From NCERT
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The restoring force of a spring, with a block attached to the free end of the spring, is represented by:
 
1. 2.
3. 4.
Subtopic:  Spring mass system |
 65%
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If the screen is moved away from the plane of the slits in Young's double slit experiment, then the:
1. angular separation of the fringes increases.
2. angular separation of the fringes decreases.
3. linear separation of the fringes increases.
4. linear separation of the fringes decreases.
Subtopic:  Young's Double Slit Experiment |
 63%
From NCERT
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The effective capacitances of two capacitors are \(3~\mu \text{F}\) and \(16~\mu \text{F}\), when they are connected in series and parallel respectively. The capacitance of two capacitors are:
1. \(10 ~\mu \text{F}, ~6~\mu \text{F}\) 2. \(8 ~\mu \text{F}, ~8~\mu \text{F}\)
3. \(12~\mu \text{F},~ 4~\mu \text{F}\) 4. \(1.2~\mu \text{F},~1.8~\mu \text{F}\)
Subtopic:  Combination of Capacitors |
 76%
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The distance covered by a body of mass \(5\) g having linear momentum \(0.3\) kg-m/s in \(5\) s is:
1. \(300\) m
2. \(30\) m
3. \(3\) m
4. \(0.3\) m
Subtopic:  Newton's Laws |
 68%
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A gravitational field is present in a region and a mass is shifted from \(A\) to \(B\) through different paths as shown. If \(\mathrm{W_1}\), \(\mathrm{W_2}\) and \(\mathrm{W_3}\) represent the work done by the gravitational force along their respective paths, then:
1. \(\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3\) 2. \(\mathrm{W}_1>\mathrm{W}_2>\mathrm{W}_3\)
3. \(\mathrm{W}_1>\mathrm{W}_3>\mathrm{W}_2\) 4. \(\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3\)
Subtopic:  Gravitational Potential Energy |
 85%
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The reciprocal of resistance is:
1. reactance 2. mobility
3. conductivity 4. conductance
Subtopic:  Derivation of Ohm's Law |
 79%
From NCERT
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Given below are two statements: 
Assertion (A): When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded.
Reason (R): Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
Subtopic:  Collisions |
From NCERT
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The threshold frequency of a photoelectric metal is \(\nu_0.\) If the light of frequency \(4\nu_0\) is incident on this metal, then the maximum kinetic energy of emitted electrons will be:
1. \(h\nu_0\) 2. \(2h\nu_0\)
3. \(3h\nu_0\) 4. \(4h\nu_0\)
Subtopic:  Einstein's Photoelectric Equation |
 83%
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