A particle of mass \(4M\) kg at rest splits into two particles of mass \(M\) and \(3M.\) The ratio of the kinetic energies of mass \(M\) and \(3M\) would be:

1. \(3:1\) 2. \(1:4\)
3. \(1:1\) 4. \(1:3\)

Subtopic:  Collisions |
 63%
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During simple harmonic motion of a body, the energy at the extreme position is:

1.  both kinetic and potential
2. is always zero
3. purely kinetic
4. purely potential
Subtopic:  Energy of SHM |
 78%
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A fluid of density \(\rho~\)is flowing in a pipe of varying cross-sectional area as shown in the figure. Bernoulli's equation for the motion becomes:
              
1.  \(p+\frac12\rho v^2+\rho gh\text{=constant}\)
2. \(p+\frac12\rho v^2\text{=constant}\)
3. \(\frac12\rho v^2+\rho gh\text{=constant}\)
4. \(p+\rho gh\text{=constant}\)

Subtopic:  Bernoulli's Theorem |
 88%
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The ratio of the moments of inertia of two spheres about their diameter and having same mass and their radii in the ratio of \(1:2\) is:
1. \(2:1\)
2. \(4:1\)
3. \(1:2\)
4. \(1:4\)

Subtopic:  Moment of Inertia |
 80%
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Assertion (A): A standing bus suddenly accelerates. If there was no friction between the feet of a passenger and the floor of the bus, the passenger would move back.
Reason (R): In the absence of friction, the floor of the bus would slip forward under the feet of the passenger.
 
1. (A) is true but (R) is false.
2. (A) is false but (R) is true.
3. Both (A) and (R) are true and (R) is the correct explanation of (A).
4. Both (A) and (R) are true but (R) is not the correct explanation of (A).
Subtopic:  Newton's Laws |
 61%
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A linearly polarized monochromatic light of intensity \(10\) lumen is incident on a polarizer. The angle between the direction of polarization of the light and that of the polarizer such that the intensity of output light is \(2.5\) lumen is:

1. \(60^\circ\) 2. \(75^\circ\)
3. \(30^\circ\) 4. \(45^\circ\)
Subtopic:  Polarization of Light |
 65%
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The ratio of the radii of two circular coils is \(1:2\). The ratio of currents in the respective coils such that the same magnetic moment is produced at the centre of each coil is:
1. \(4:1\)
2. \(2:1\)
3. \(1:2\)
4. \(1:4\)

Subtopic:  Magnetic Moment |
 61%
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A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
1. infinity
2. \(0.5\)
3. zero
4. \(1\)

Subtopic:  Molar Specific Heat |
 68%
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Two amplifiers of voltage gain 20 each, are cascaded in series. If 0.01 volt a.c. input signal is applied across the first amplifier, the output a.c. signal of the second amplifier in volts is:
1. 2.0
2. 4.0
3. 0.01
4. 0.20

Subtopic:  Applications of Transistor (OLD NCERT) |
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A hollow metal sphere of radius \(R\) is given \(+Q\) charges to its outer surface. The electric potential at a distance \(\frac{R}{3}\) from the centre of the sphere will be:

1. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{9R}\) 2. \(\frac{3}{4\pi \varepsilon_0}\frac{Q}{R}\)
3. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{3R}\) 4. \(\frac{1}{4\pi \varepsilon_0}\frac{Q}{R}\)
Subtopic:  Electric Potential |
 62%
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