Angular Momentum Quiz: Master Physics with Flashcards

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Questions and Answers

What is the half of the radius of the nucleus with a mass number of 192?

If the escape velocity on a planet is $v$, what will be the escape velocity on the moon, which has a mass 1/144 times the mass of the planet and a diameter 1/16 times the diameter of the planet?

$v/3$

A small spherical ball of radius $r$ falls through a viscous medium of negligible density and has a terminal velocity $v$. Another ball of the same mass but with radius $2r$ falling through the same medium will have a terminal velocity of:

$4v$

Two physical quantities A and B are related as $A \propto x^2$, where $x$ and $t$ have the dimensions of length and time respectively. What is the dimension of $AB$?

$L^2 M^1 T^1$ Signup and view all the answers

A body of mass 2 kg begins to move under the action of a time-dependent force given by $\vec{F} = 6t\hat{i} + 6t^2\hat{j}$ N. The power developed by the force at time $t$ is:

$3t^3 + 6t^5$ W Signup and view all the answers

In the given circuit, the battery has an emf of 2.2 V and an internal resistance of 3 Ω. The power consumption in the entire circuit is:

1.0 W Signup and view all the answers

If the resistance of the wire is doubled while keeping all other parameters the same, what will happen to the balancing length of the block?

The balancing length will double Signup and view all the answers

If two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes $R$ and are inclined at an angle $\theta$, what is the magnitude of their vector sum $\vec{A} + \vec{B}$?

$2R\sin(\theta)$ Signup and view all the answers

If the current in a lamp decreases by 20%, by what percentage will the illumination of the lamp decrease?

36% Signup and view all the answers

Which of the following statements about electromagnetic waves is correct?

Electromagnetic waves carry energy equally in their electric and magnetic fields Signup and view all the answers

If the mass number of a nucleus is 49, what is the approximate radius of the nucleus in femtometers (fm)?

4.5 fm Signup and view all the answers

When electromagnetic waves strike a surface, what phenomenon occurs?

A pressure is exerted on the surface Signup and view all the answers

What is the angular momentum of the body about the point of projection at the highest point?

$2\mu^3$ Signup and view all the answers

If two circular coils P and Q with 100 turns each and radii of 5 cm carry currents of 1 A and 2 A respectively, and their planes are mutually perpendicular with centers coinciding, what is the resultant magnetic field induction at the center?

$5.2\times 10^{-7}$ T Signup and view all the answers

Light from a point source in air falls on a convex surface of radius 20 cm and refractive index 1.5. If the source is located 100 cm from the surface, at what distance from the object will the image be formed?

20 cm Signup and view all the answers

If the electrostatic potential at a point P, located at a distance r from the midpoint O between charges +2q and -2q separated by 4l, is V, what is the value of V in terms of q and l?

$V = \frac{2q}{4\pi\epsilon_0 r}$ Signup and view all the answers

If the distance between charges +q and -q is 2l, and the potential at a distance r from the midpoint is $V = ql/4\pi\epsilon_0 r$, what is the value of the permittivity of free space $\epsilon_0$?

$8.85\times 10^{-12}$ C$^2$/N$\cdot$m$^2$ Signup and view all the answers

If the magnetic flux $\Phi$ linked with a closed circuit of resistance 8 $\Omega$ varies with time $t$ (in seconds) as $\Phi = 5t^2 - 36t + 1$ Weber, what is the induced current in the circuit at $t = 2$ s?

-2 A Signup and view all the answers

Study Notes

Angular Momentum and Magnetic Field

The angular momentum of a body about the point of projection, at the highest point, is expressed as 2mu3, where 'x' has a value of 8.
The resultant magnetic field induction at the center of two circular coils with mutually perpendicular planes and coinciding centers is x mT, where x = 52.

Light Refraction and Electrostatic Potential

When light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1.5, the image will be formed at 20 cm from the object.
The electrostatic potential at a point P at a distance r from the center O, between +2q and -2q, is -αql/r^2, where α is 200.

Magnetic Flux and Induced Current

The magnetic flux (φ) linked with a closed circuit of resistance 8 Ω varies with time (t) as φ = 5t2 - 36t + 1.
The induced current in the circuit at t = 2s is 2 A.

Mechanical Systems and Escape Velocity

Two blocks of mass 2 kg and 4 kg connected by a metal wire over a smooth pulley have a longitudinal strain of 1/α, where α is half of the radius of the nucleus with mass number 192.
The escape velocity on a planet with a moon is v, where the mass of the moon is 1/144 times the mass of the planet and its diameter is 1/16 times the diameter of the planet.

Viscous Medium and Terminal Velocity

A small spherical ball of radius r, falling through a viscous medium, has a terminal velocity 'v'.
Another ball of the same mass but of radius 2r, falling through the same viscous medium, will have a terminal velocity of 4v.

Physical Quantities and Dimensions

Two physical quantities A and B are related as E = B - x^2, where E, x, and t have dimensions of energy, length, and time, respectively.
The power developed by a force F = 6ti + 6t^2j N, at time t, is given by 3t^3 + 6t^5 W.

Circuit Analysis and Electromagnetic Waves

In a circuit with a battery of emf 2V and internal resistance r, the power consumption in the entire circuit is W.
Electromagnetic waves carry energy as they travel through space, with equal sharing by electric and magnetic fields.
When electromagnetic waves strike a surface, a pressure is exerted on the surface.

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Physics: Angular Momentum and Magnetic Field Quiz