Physics Chapter on Fluid Mechanics

1:2

0.9 × 10^-3 J

1:4

<p>Concave shape is formed.</p> Signup and view all the answers

<p>Pascal (Pa)</p> Signup and view all the answers

<p>Pressure applied to an enclosed fluid is transmitted undiminished in all directions.</p> Signup and view all the answers

<p>0.1428 m</p> Signup and view all the answers

<p>1.017 × 10^-7 N</p> Signup and view all the answers

<p>The work done is $6.4 \times 10^{-4} \text{J}$.</p> Signup and view all the answers

<p>The charge Q must be $-\frac{2q}{3}$.</p> Signup and view all the answers

<p>The capacitance is given by $C = \frac{\varepsilon A}{d}$, where $\varepsilon$ is the permittivity of the dielectric, $A$ is the area of the plates, and $d$ is the separation between the plates.</p> Signup and view all the answers

<p>Kirchhoff's second law states that the sum of the potential differences in a closed loop must equal zero, reflecting the conservation of energy.</p> Signup and view all the answers

<p>The error can be minimized by interchanging the positions of the known and unknown resistances.</p> Signup and view all the answers

<p>Beats are produced by the interference of two sound waves with slightly different frequencies, resulting in oscillations in amplitude at a frequency equal to the difference between the two frequencies.</p> Signup and view all the answers

<p>The laws of vibrating strings state that the frequency of vibration is directly proportional to the tension and inversely proportional to the length of the string. These laws can be verified using a sonometer by adjusting the tension and length and observing the resulting frequencies.</p> Signup and view all the answers

<p>When transverse waves reflect off a denser medium, the wave inverts at the boundary. This inversion occurs because the denser medium exerts a greater restoring force.</p> Signup and view all the answers

<p>Longitudinal waves reflect off a rarer medium without inversion, maintaining their original phase. This occurs because the rarer medium presents less resistance compared to the denser medium they originate from.</p> Signup and view all the answers

<p>The frequencies can be calculated using the relationship $v = f imes ext{wavelength}$. The velocities of both waves can be derived from their respective wavelengths and the beat frequency.</p> Signup and view all the answers

<p>Light speed decreases due to the change in wavelength when transitioning from a rarer to a denser medium, while its frequency remains constant.</p> Signup and view all the answers

<p>The frequency of the reflected light is $6 imes 10^{14} ext{ Hz}$, calculated using the formula $f = rac{c}{ ext{wavelength}}$.</p> Signup and view all the answers

<p>The fringe widths are largest for red light and smallest for blue light, following the order $W_R &gt; W_G &gt; W_B$, due to differences in wavelength.</p> Signup and view all the answers

<p>Amplitude = 5 cm, Period = 3.14 sec</p> Signup and view all the answers

<p>t = 0.46 sec</p> Signup and view all the answers

<p>Angular simple harmonic motion is the rotational equivalent of linear SHM. The differential equation is given by $rac{d^2 heta}{dt^2} + rac{g}{L} heta = 0$.</p> Signup and view all the answers

<p>Damped oscillation is characterized by a gradual decrease in amplitude over time due to energy loss. Factors such as friction or resistance contribute to this damping.</p> Signup and view all the answers

<p>The expression for the period T is given by $T = 2 au rac{m}{B^2}$, where m is the mass and B is the magnetic field strength.</p> Signup and view all the answers

<p>The total energy depends on the mass of the particle, the amplitude of motion, and the spring constant. Specifically, it is given by the equation $E = rac{1}{2} k A^2$.</p> Signup and view all the answers

<p>The length of the string must be an odd integral multiple of $rac{ ext{λ}}{4}$.</p> Signup and view all the answers

<p>The differential equation $rac{d^2x}{dt^2} + rac{ω^2x}{0} = 0$ allows us to derive expressions: Acceleration $a = -ω^2x$, Velocity $v = ωrac{dx}{dt}$, and Displacement $x = A ext{cos}(ωt)$.</p> Signup and view all the answers

<p>V/m</p> Signup and view all the answers

<p>Potentiometer</p> Signup and view all the answers

<p>Current is drawn from the main battery.</p> Signup and view all the answers

<p>The length increases.</p> Signup and view all the answers

<p>24 Ω</p> Signup and view all the answers

<p>A potentiometer cannot be used for measuring AC voltages and requires a zero-current condition.</p> Signup and view all the answers

<p>Kirchhoff’s laws are based on the principles of conservation of charge and energy.</p> Signup and view all the answers

<p>Use the formula: Shunt = G * (I_g/I_s - 1), where G is galvanometer resistance.</p> Signup and view all the answers

<p>Capacitive reactance is the opposition to the flow of alternating current through a capacitor, represented as $X_C = \frac{1}{\omega C}$ where $\omega$ is the angular frequency.</p> Signup and view all the answers

<p>The angular frequency is approximately $1.1 \times 10^3$ rad/s.</p> Signup and view all the answers

<p>The impedance in an A.C. circuit is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$, where $R$ is resistance, $X_L$ is inductive reactance, and $X_C$ is capacitive reactance.</p> Signup and view all the answers

<p>The condition for current resonance is that the inductive reactance equals the capacitive reactance, $X_L = X_C$.</p> Signup and view all the answers

<p>One characteristic is that at resonance, the total impedance is at a minimum and the circuit can draw maximum current.</p> Signup and view all the answers

<p>The average power is given by $P = \frac{V_{rms} \cdot I_{rms}}{2} \cdot \cos \phi$.</p> Signup and view all the answers

<p>The average current is $\frac{\pi}{2} I_{rms}$.</p> Signup and view all the answers

<p>The mean value over half cycle is approximately 9.548 V.</p> Signup and view all the answers