World's only instant tutoring platform

Instant Tutoring About Us

Student Tutor

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

CBSE

Free Algebra, Lattice Theory Prove that the one-element lattic

Question

Question asked by Filo student

Free Algebra, Lattice Theory Prove that the one-element lattice is the free lattice on one generator. Prove that the four-element square is the free lattice on two generators.

Views: 5,470 students

Found 8 tutors discussing this question

Alexander Discussed

Free Algebra, Lattice Theory Prove that the one-element lattice is the free lattice on one generator. Prove that the four-element square is the free lattice on two generators.

8 mins ago

Discuss this question LIVE

8 mins ago

Filo tutor solution

Learn from their 1-to-1 discussion with Filo tutors.

Generate FREE solution for this question from our expert tutors in next 60 seconds

Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7

Practice more questions on All topics

Question 1

Easy

A long magnetic needle of length

2 L

, magnetic moment

M

and pole strength

m

units is broken into two pieces at the middle. The magnetic moment and pole strength of each piece will be

$\frac{M}{2}, \frac{m}{2}$
$M, \frac{m}{2}$
$\frac{M}{2}, m$
$M, m$

Topic:

Magnetism and Matter

View 8 solutions

Question 2

Medium

A charged particle of mass

20 g

and charge

20 μ C

is placed in a uniform electric field of strength

100 NC^{- 1}

. If the particle is at rest initially, then what will be the velocity

(

m s^{- 1}

) of the particle after

3 s

$3 \times 1 0^{4}$
300
600
$0.3$

Topic:

Electrostatic Potential and Capacitance

View solution

Question 3

Hard

Q.77. A particle in the ground state is located in a unidimensional square potential well of length 1 with absolutely impenetrable walls (0 < x < l). Find the probability of the particle staying within a region

\frac{1}{3} l ⩽ x ⩽ \frac{2}{3} l

Topic:

Atoms

Book:

Problems in General Physics (IE Irodov)

View solution

Question 4

Medium

A rectangular coil (dimension

5 cm \times 2.5 cm

) with 100 turns, carrying a current of

3 A

in the clockwise direction, is kept centred at the origin and in the

X - Z

plane. A magnetic field of

1 T

is applied along

X

-axis. If the coil is tilted through

4 5^{\circ}

about

Z

-axis, then the torque on the coil is
(a)

0.27 N - m

(b)

0.38 N - m

(c)

0.42 N - m

(d)

0.55 N - m

Topic:

Moving Charges and Magnetism

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2019

View 3 solutions

Students who ask this question also asked

Question 1

In a mass spectrometer, singly ionized iron atoms are accelerated through a 120 -

V

potential difference and then injected into a region with a perpendicular magnetic field of

0.42 T

. Describe the ions' subsequent motion.

Topic:

Physics

View solution

Question 2

Please help with all parts of this one question. Suppose iÎºx 8 > c > 8- where C, Îº, and k0 are constants.

Determine the normalization constant, C.
Find Ïˆ(x), Ïˆ(x^2), and Ïˆ(x).
Find the momentum space wave function, Ïˆ(p).
Use Ïˆ(p) to calculate Ïˆ(p), Ïˆ(p^2), and Ïˆ(p).
Check that the Heisenberg uncertainty relation is satisfied for this state.

Topic:

Physics

View solution

Question 3

Alex's monochromator makes quasi-monochromatic light using the tungsten lamp. The liner dispersion of the monochromator is 20 A/mm and the exit slit is set to 200 m. The monochromator is set to output light at 500 nm. a) What is the coherence time of the light from the output? b) What is the coherence length of the light from the output? c) How do these values change with wavelength? If Alex wanted to maximize the coherence time what should they change in the setup?

Topic:

Physics

View solution

Question 4

Check whether the events A and B are independent or not explain reason.

Topic:

Physics

View solution

Question Text	Free Algebra, Lattice Theory Prove that the one-element lattice is the free lattice on one generator. Prove that the four-element square is the free lattice on two generators.
Topic	All topics
Subject	Physics
Class	Class 12

Are you ready to take control of your learning?

Download Filo and start learning with your favorite tutors right away!