An ideal gas undergoes a thermodynamic process described by the equation:
\(PV^2=C,\)
where \(C\) is a constant. The gas transitions from an initial state \((P_1, V_1, T_1)\) to a final state \((P_2, V_2, T_2).\) Which of the following statements is correct?
| 1. | \(\text{If}~P_1>P_2,~\text{then}~T_1<T_2 \) |
| 2. | \(\text{If}~V_2>V_1,~\text{then}~T_2>T_1\) |
| 3. | \(\text{If}~V_2>V_1,~\text{then}~T_2<T_1\) |
| 4. | \(\text{If}~P_1>P_2,~\text{then}~V_1>V_2\) |
| 1. | \(0.25\) | 2. | \(0.5\) |
| 3. | \(2\) | 4. | \(4\) |
| 1. | \(0.7~\text{kg-m}^2\) | 2. | \(3.22~\text{kg-m}^2\) |
| 3. | \(30.8~\text{kg-m}^2\) | 4. | \(0.07~\text{kg-m}^2\) |
The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?
| 1. | \(108\) V | 2. | \(197\) V |
| 3. | \(150\) V | 4. | \(192\) V |
| (A) | the distance between the objective and the eyepiece is \(20.02\text{m}.\) |
| (B) | the magnification of the telescope is \(-1000\). |
| (C) | the image of the planet is erect and diminished. |
| (D) | the aperture of the eyepiece is smaller than that of the objective. |
| 1. | A, B, and C | 2. | B, C, and D |
| 3. | C, D, and A | 4. | A, B, and D |
| 1. | zero | 2. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\) |
| 3. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(3-\dfrac{1}{\sqrt2}\Big)\) | 4. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(6-\dfrac{1}{\sqrt2}\Big)\) |
| 1. | \(420~\text{Hz}\) | 2. | \(440~\text{Hz}\) |
| 3. | \(484~\text{Hz}\) | 4. | \(512~\text{Hz}\) |