- For a system performing small oscillations, which of the following statement is correct?
- The number of normal modes and the number of normal coordinates is equal
- The number of normal modes is twice the number of normal coordinates
- The number of normal modes is half the number of normal coordinates
- There is no specific relationship between the number of normal modes and the number of normal coordinates
- For any process, the second law of thermodynamics requires that the change of entropy of the universe be
- Positive only
- Positive or zero
- Zero only
- Negative or zero
- A body of mass M=m_1+m_2 at rest splits into two parts of masses m_1 and m_2 by an internal explosion which generates a kinetic energy E. The speed of mass m_2 relative to mass m_1 is
- \sqrt{\frac{E}{m_1m_2}}
- \sqrt{\frac{2E}{m_1m_2}}
- \sqrt{\frac{EM}{m_1m_2}}
- \sqrt{\frac{2EM}{m_1m_2}}
- The value of x=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\dots} }}
- \sqrt{2}
- 1.6
- \sqrt{3}
- 0.8
- In Young's double slit experiment, if one of the following parameters (\lambda, d and D) is increased in the same order keeping the other two same, then the fringe width
- decreases, decreases, increases
- decreases, increases, increases
- increases, decreases, increases
- increases, increases, decreases
- Ideal Atwood machine is nothing but an inextensible string of negligible mass going around the fixed pulley with masses m_1 and m_2 attached to the ends of the string. If m_1>m_2, then the magnitude of acceleration of mass m_1 is
- \frac{m_1g}{(m_1+m_2)}
- \frac{m_2g}{(m_1+m_2)}
- \frac{(m_1-m_2)g}{(m_1+m_2)}
- g
- A particle of mass m is released from a large height. Resistive force is directly proportional to velocity \bar v with k as a constant of proportionality. Asymptotic value of the velocity of particle is
- \frac{g}{k}
- \frac{k}{m}
- \frac{mg}{k}
- \frac{g}{km}
- The momentum of an electron (rest mass m_0), which has the same kinetic energy as its rest mass energy, is
- m_0c
- \sqrt{2}m_0c
- \sqrt{3}m_0c
- 2m_0c
- A planet of mass m moves around the in an elliptic orbit. If L denotes the angular momentum of the planet, then the rate at which area is swept by the radial vector is
- \frac{L}{2m}
- \frac{L}{m}
- \frac{2L}{2}
- \frac{\sqrt{2}L}{m}
- The matrix \begin{pmatrix}8&x&0\\4&0&2\\12&6&0\end{pmatrix} will become singular if the value of x is
- 4
- 6
- 8
- 12
Enhance a problem solving ability in Physics for various competitive and qualifying examinations like GRE, GATE, CSIR JRF-NET, SET, UPSC etc.
Notice
Monday, 3 October 2016
Problem set 4
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