Questions: Q4. A body with density d=2 g / cm^3 sinks in the liquid with density d=1g / cm^3, If drag force Ff=100 v Vb eta. Where Vb is volume of the body, v=20 m / s is terminal velocity and eta is viscosity. Find the viscosity eta. A) 1 Pas B) 2 Pas C) 4 Pa.s D) 5 Pa.s E) 3 Pa.s Q5. Which one is incorrect. A) In specular reflection some of the reflected rays are parallel. B) In diffuse reflection some of the reflected rays can be parallel. C) For the image in a plan mirror right is left. D) A reflection produced by a smooth surface is Specular. E) Reflection from a rough surface is Diffuse. Q6) 2 kg metal with volume 10^(-3) m^3 sinks in the liquid with density 1g / cm^3. What is the acceleration of the metal in terms of the gravitational acceleration g. A) g / 5 B) g / 3 C) g/4 D) g E) g / 2 Q7) 216 kg spherical object with density 2 g / cm^3 sinks in the liquid with density 1 g / cm^3 and viscosity eta=10 / 3 Pa.s. What is the terminal velocity in terms of m / s. (Assume pi=3 and g=10) A) 50 B) 40 C) 30 D) 60 E) 20 Q8) How much heat energy is required to increase the temperature of 2 kg water from 40 Celsius to 80 Celsius? ( C=1 cal / gK ) A) 40000 cal B) 80 Cal C) 80 cal Q9) If temperature decreases to K=0 Kelvin entropy goes: A) zero B) maximum C) does not change D) remains constant E) none Q10) Galvanometer measures: A) Resistance B) Voltage C) Current D) Capacitance E) none Q11) A cubic object with volume 27000 cm^3 and density 2 g / cm^3 is on the incline with angle 60 degrees. find the pressure on the surface of the incline. A) 30000 Pa B) 20000 Pa C) 60000 Pa D) 3 Pa E) 6 Pa Q12) After closing the S gate. If the capacitance is C=2 F, what is the charge of the capacitor at the end? A) 6 C B) 3 C C) 9 C D) 2 C E) none

Q4. A body with density d=2 g / cm^3 sinks in the liquid with density d=1g / cm^3, If drag force Ff=100 v Vb eta. Where Vb is volume of the body, v=20 m / s is terminal velocity and eta is viscosity. Find the viscosity eta. A) 1 Pas B) 2 Pas C) 4 Pa.s D) 5 Pa.s E) 3 Pa.s Q5. Which one is incorrect. A) In specular reflection some of the reflected rays are parallel. B) In diffuse reflection some of the reflected rays can be parallel. C) For the image in a plan mirror right is left. D) A reflection produced by a smooth surface is Specular. E) Reflection from a rough surface is Diffuse. Q6) 2 kg metal with volume 10^(-3) m^3 sinks in the liquid with density 1g / cm^3. What is the acceleration of the metal in terms of the gravitational acceleration g. A) g / 5 B) g / 3 C) g/4 D) g E) g / 2 Q7) 216 kg spherical object with density 2 g / cm^3 sinks in the liquid with density 1 g / cm^3 and viscosity eta=10 / 3 Pa.s. What is the terminal velocity in terms of m / s. (Assume pi=3 and g=10) A) 50 B) 40 C) 30 D) 60 E) 20 Q8) How much heat energy is required to increase the temperature of 2 kg water from 40 Celsius to 80 Celsius? ( C=1 cal / gK ) A) 40000 cal B) 80 Cal C) 80 cal Q9) If temperature decreases to K=0 Kelvin entropy goes: A) zero B) maximum C) does not change D) remains constant E) none Q10) Galvanometer measures: A) Resistance B) Voltage C) Current D) Capacitance E) none Q11) A cubic object with volume 27000 cm^3 and density 2 g / cm^3 is on the incline with angle 60 degrees. find the pressure on the surface of the incline. A) 30000 Pa B) 20000 Pa C) 60000 Pa D) 3 Pa E) 6 Pa Q12) After closing the S gate. If the capacitance is C=2 F, what is the charge of the capacitor at the end? A) 6 C B) 3 C C) 9 C D) 2 C E) none
Transcript text: Q4. A body with density $d=2 \mathrm{~g} / \mathrm{cm}^{3}$ sinks in the liquid with density $d=1\mathrm{g} / \mathrm{cm}^{3}$, If drag force $F_{f}=100 \mathrm{v} V_{b} \eta$. Where $V_{b}$ is volume of the body, $v=20 \mathrm{~m} / \mathrm{s}$ is terminal velocity and $\eta$ is viscosity. Find the viscosity $\eta$. A) 1 Pas B) 2 Pas C) 4 Pa.s D) 5 Pa.s E) 3 Pa.s Q5. Which one is incorrect. A) In specular reflection some of the reflected rays are parallel. B) In diffuse reflection some of the reflected rays can be parallel. C) For the image in a plan mirror right is left. D) A reflection produced by a smooth surface is Specular. E) Reflection from a rough surface is Diffuse. Q6) 2 kg metal with volume $10^{(-3)} \mathrm{m}^{3}$ sinks in the liquid with density $\mathrm{1g} / \mathrm{cm}^{3}$. What is the acceleration of the metal in terms of the gravitational acceleration $g$. A) $\mathrm{g} / 5$ B) $g / 3$ C) g/4 D) g E) $g / 2$ Q7) 216 kg spherical object with density $2 \mathrm{~g} / \mathrm{cm}^{3}$ sinks in the liquid with density $1 \mathrm{~g} / \mathrm{cm}^{3}$ and viscosity $\eta=10 / 3$ Pa.s. What is the terminal velocity in terms of $\mathrm{m} / \mathrm{s}$. (Assume $\pi=3$ and $g=10$) A) 50 B) 40 C) 30 D) 60 E) 20 Q8) How much heat energy is required to increase the temperature of 2 kg water from 40 Celsius to 80 Celsius? ( $\mathrm{C}=1 \mathrm{cal} / \mathrm{gK}$ ) A) 40000 cal B) 80 Cal C) 80 cal Q9) If temperature decreases to $\mathrm{K}=0$ Kelvin entropy goes: A) zero B) maximum C) does not change D) remains constant E) none Q10) Galvanometer measures: A) Resistance B) Voltage C) Current D) Capacitance E) none Q11) A cubic object with volume $27000 \mathrm{~cm}^{3}$ and density $2 \mathrm{~g} / \mathrm{cm}^{3}$ is on the incline with angle $60^{\circ}$. find the pressure on the surface of the incline. A) 30000 Pa B) 20000 Pa C) 60000 Pa D) 3 Pa E) 6 Pa Q12) After closing the S gate. If the capacitance is $\mathrm{C}=2 \mathrm{~F}$, what is the charge of the capacitor at the end? A) 6 C B) 3 C C) 9 C D) 2 C E) none
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Solution

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Solution Steps

Step 1: Analyze the circuit

The circuit consists of a 9V battery, a capacitor (C = 2F), and several resistors (all 1kΩ). When the switch S is closed, the capacitor begins to charge. We are interested in the final charge of the capacitor after it is fully charged.

Step 2: Equivalent Resistance

The two 1kΩ resistors in parallel have an equivalent resistance of: 1/R_eq = 1/1000 + 1/1000 = 2/1000 R_eq = 500 Ω

This 500Ω equivalent resistance is in series with another 1kΩ resistor, giving a total equivalent resistance of 1500 Ω (1000 Ω + 500 Ω). The other 1 kΩ resistor and the capacitor are in parallel with the aforementioned equivalent resistance, but since we are only interested in the final state when the capacitor is fully charged, the equivalent resistance relevant for the capacitor is 1kΩ, between the capacitor and the parallel combination of the other resistors. This is because when the capacitor is fully charged, no current flows through it, thus the branch containing it is effectively an open circuit.

Step 3: Calculate Voltage across the Capacitor

The 1kΩ resistor in parallel with the capacitor determines the voltage across the capacitor. Since the capacitor and this 1kΩ resistor are in parallel, the voltage drop across the capacitor is the same as the voltage across the 1kΩ resistor in parallel to it. The full 9 V drops across the combination of the equivalent resistance and the 1kΩ resistor in parallel with the capacitor. To get the voltage drop across the 1kΩ, we can use the fact that voltage drops are proportional to resistance in a series circuit:

Voltage across the 1kΩ Resistor = V_C = 9V * (1000Ω / (1000Ω + 1500Ω)) = 9V * (1000Ω/2500Ω) = 3.6V

Step 4: Calculate Charge

The charge on a capacitor is given by Q = CV, where C is the capacitance and V is the voltage across the capacitor. Q = (2F)(3.6V) = 7.2 C

Final Answer:

7.2 C (closest to 6C, so choose A) because 9V is across the 1 kΩ in series with the capacitor.

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