A bob is whirled in a horizontal circle by means of a string at an initial speed of 10 rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
1.
20 rpm
2.
40 rpm
3.
5 rpm
4.
10 rpm
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Subtopic: Uniform Circular Motion |
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The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and ε is a small positive number) is:
1. μ<μ0
2. 0⩽μr<1
3. −1⩽χ<0
4. 1<μr<1+ε
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Subtopic: Magnetic Materials |
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An ideal fluid is flowing in a non-uniform cross-sectional tube XY (as shown in the figure) from end X to end Y. If K1 and K2 are the kinetic energies per unit volume of the fluid at X and Y respectively, the correct relationship between K1 and K2 is:
1.
K1=K2
2.
2K1=K2
3.
K1>K2
4.
K1<K2
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Subtopic: Bernoulli's Theorem |
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An electron and an alpha particle are accelerated by the same potential difference. Let λe and λα denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:
1.
λe>λα
2.
λe=4λα
3.
λe=λα
4.
λe<λα
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Subtopic: De-broglie Wavelength |
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An object is moving along the horizontal x-direction with an initial kinetic energy of 10J. It is displaced through x=(3^i)m under the influence of a force →F=(−2^i+3^j)N.The kinetic energy of the object at the end of the displacement x is:
1.
10J
2.
16J
3.
4J
4.
6J
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Subtopic: Work Energy Theorem |
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An object falls from a height of 10m above the ground. After striking the ground it loses 50% of its kinetic energy. The height up to which the object can re-bounce from the ground is:
1.
7.5m
2.
10m
3.
2.5m
4.
5m
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Subtopic: Gravitational Potential Energy |
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In the circuit shown below, the inductance L is connected to a source. The current flowing in the circuit is I=I0sinωt. The voltage drop (VL) across L is:
1.
ωLI0sinωt
2.
I0ωLsinωt
3.
I0ωLcosωt
4.
ωLI0cosωt
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Subtopic: Different Types of AC Circuits |
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