“The laws of motion dictate that a pebble thrown upwards and a planet orbiting a star are both governed by the same principles, reminding us that the universe is interconnected and bound by a set of fundamental rules.”
Category Archives: Physics
RC Circuit
A series RC circuit is a type of electronic circuit that consists of a resistor and a capacitor connected in series. This circuit is widely used in electronics as it provides a range of useful applications such as signal filtering, timing circuits, and waveform generation. Understanding the behavior of a series RC circuit is essential for any electrical engineer or one who works with electronic circuits. Continue reading RC Circuit
Two point charges -Q and +Q/√3 are placed ….
Two point charges -Q and +Q/√3 are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respectively, as shown in the figure. This results in an equipotential circle of radius R and potential V = 0 in the xy-plane with its center at (b, 0). All lengths are measured in meters.
Q.1 The value of R is ___ meter.
Q.2 The value of b is ___ meter. Continue reading Two point charges -Q and +Q/√3 are placed ….
A particle of mass M = 0.2 kg is initially at rest ….
A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = -l, y = -h), where l = 10 m and h = 1 m . The particle is accelerated at time t = 0 with a constant acceleration $a = 10 m/s^2$ along the positive x-direction. Its angular momentum and torque with respect to the origin, in SI units, are represented by L and $\tau $ respectively. $\hat i$, $\hat j$ and $\hat k $ are unit vectors along the positive x, y and z-directions, respectively. If $\hat k = \hat i \times \hat j $ then which of the following statement(s) is(are) correct?
(A) The particle arrives at the point (x = l, y = -h) at time t = 2 s.
(B) $\vec τ = 2 \hat k $ when the particle passes through the point (x = l, y = -h)
(C) $\vec L = 4 \hat k $ when the particle passes through the point (x = l, y = -h)
(D) $\vec τ = \hat k $ when the particle passes through the point (x = 0, y = -h) Continue reading A particle of mass M = 0.2 kg is initially at rest ….
A long straight wire carries a current, I = 2 ampere. A semi-circular ….
A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducting parallel rails of negligible resistance. Both the rails are parallel to the wire. The wire, the rod and the rails lie in the same horizontal plane, as shown in the figure. Two ends of the semi-circular rod are at distances 1 cm and 4 cm from the wire. At time t = 0, the rod starts moving on the rails with a speed v = 3.0 m/s (see the figure).
A resistor $R = 1.4 \Omega$ and a capacitor $C_0 = 5.0 \mu F$ are connected in series between the rails. At time t = 0, $C_0$ is uncharged. Which of the following statement(s) is(are) correct? [$\mu_0 = 4\pi \times 10^{-7}$ SI units. Take ln 2 = 0.7]
(A) Maximum current through R is $1.2 \times 10^{-6}$ ampere
(B) Maximum current through R is $3.8 \times 10^{-6}$ ampere
(C) Maximum charge on capacitor $C_0$ is $8.4 \times 10^{-12}$ coulomb
(D) Maximum charge on capacitor $C_0$ is $2.4 \times 10^{-12}$ coulomb Continue reading A long straight wire carries a current, I = 2 ampere. A semi-circular ….
An infinitely long straight conductor carries a current of 5A ….
An infinitely long straight conductor carries a current of 5A as shown. An electron is moving with a speed of $10^5 m/s$ parallel to the conductor. The perpendicular distance between the electron and the conductor is 20 cm at an instant. Calculate the magnitude of the force experienced by the electron at that instant.
(1) $4\times 10^{-20}N$
(2) $8\pi \times 10^{-20}N$
(3) $4\pi \times 10^{-20}N$
(4) $8\times 10^{-20}N$ Continue reading An infinitely long straight conductor carries a current of 5A ….
The velocity of a small ball of mass M and density d ….
The velocity of a small ball of mass M and density d, when dropped in a container filled with glycerin becomes constant after some time. If the density of glycerin is $\frac {d}{2}$, then the viscous force acting on the ball will be:
(1) $\frac {Mg}{2}$
(2) $Mg$
(3) $\frac {3}{2} Mg$
(4) $2Mg$ Continue reading The velocity of a small ball of mass M and density d ….