1
KCET 2023
MCQ (Single Correct Answer)
+1
-0

In the situation shown in the diagram, magnitude, if $$q < < |Q|$$ and $$r >>>a$$. The net force on the free charge $$-q$$ and net torque on it about $$O$$ at the instant shown are respectively.

($$p=2 a Q$$ is the dipole moment)

KCET 2023 Physics - Electrostatics Question 23 English

A
$$\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^3} \hat{\mathbf{i}},-\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^2} \hat{\mathbf{k}}$$
B
$$\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^2} \hat{\mathbf{k}}, \frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^3} \hat{\mathbf{i}}$$
C
$$-\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^2} \hat{\mathbf{k}},-\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^3} \hat{\mathbf{i}}$$
D
$$\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^3} \hat{\mathbf{i}},+\frac{1}{4 \pi \varepsilon_0} \frac{p q}{r^2} \hat{\mathbf{k}}$$
2
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Pressure of ideal gas at constant volume is proportional to .........

A
force between the molecules
B
average potential energy of the molecules
C
total energy of the gas
D
average kinetic energy of the molecules
3
KCET 2023
MCQ (Single Correct Answer)
+1
-0

A block of mass $$m$$ is connected to a light spring of force constant $$k$$. The system is placed inside a damping medium of damping constant $$b$$. The instantaneous values of displacement, acceleration and energy of the block are $$x, a$$ and $$E$$ respectively. The initial amplitude of oscillation is $$A$$ and $$\omega^{\prime}$$ is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is

A
$$x=A e^{-\frac{b}{m}} \cos \left(\omega^{\prime} t+\phi\right)$$
B
$$\omega^{\prime}=\sqrt{\frac{k}{m}-\frac{b^2}{4 m^2}}$$
C
$$E=\frac{1}{2} k A^2 e^{-\frac{b t}{m}}$$
D
$$m \frac{d^2 x}{d t^2}+b \frac{d x}{d t}+k x=0$$
4
KCET 2023
MCQ (Single Correct Answer)
+1
-0

Five capacitance each of value $$1 ~\mu \mathrm{F}$$ are connected as shown in the figure. The equivalent capacitance between $$A$$ and $$B$$ is

KCET 2023 Physics - Capacitor Question 10 English

A
3 $$\mu$$ F
B
1 $$\mu$$ F
C
2 $$\mu$$ F
D
5 $$\mu$$ F
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