- 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
Subscribe to:
Post Comments
(
Atom
)
No comments :
Post a Comment