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We are given a circular current carrying conducting loop. Need to find the magnetic field B (flux density) at a distance d from the center of the loop along the axis of the loop. Using Biot-Savart's law for magnetic field we can derive the formula.

Current through the loop = i

B = 54 * 10⁻⁶ T

d = 4 cm = 0.04 m

radius = a = 3 cm = 0.03 m

B =μ i a² / [2 (d² + a²)³/² ]

54 * 10⁻⁶ = 4π * 10⁻⁷ * i * 0.03² / [2 * 0.05³] T

=> i = 1.193 Amp

Magnetic field at the center of the loop is given by

B = μ i / (2 a)

= 4 π * 10⁻⁷ * 1.193 /(2 * 0.03) T

= 2.50 * 10⁻⁵ T

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Given, resistance of wire is R

when, it is bend in a form of circle then the resistance across its diameter is ---

1/R' = 1/R/2 + 1/R/2

=> 1/R' = 2/R + 2/R

=> 1/R' = 4/R

=> R' = R/4

hence, the resistance across the diameter of circle is R/4.

As we can see the points A and B divides the circle in two equal arcs

hence if we flow a current from point A to B it will pass from AOB and ACB where O and B are points on two arcs therefore the connection will look like this i.e parallel

that is parallel connection hence effective or net resistance between any two point will be

1/Rn = 1/r0 + 1/r1

1/R/2 + 1/R/2

= 2/R+ 2/R = 1/Rn

4/R = 1/Rn

=R/4

The power station where electricity is produced by using the energy of flowing water to drive generators is called hydro power plant or hydroelectric power station.The energy conservation that take place in hydro power plant are as follows:1.The water is collected in a large reservoir or manmade Lake behind the dam. In this process the kinetic energy of flowing water gets transformed into potential energy of water stored behind the dam.2. The water falls from a high level of the dam it flows at a very high speed. The potential energy of water gets converted into kinetic energy.3. The kinetic energy of flowing water rotates the Blades of the turbine. Here the kinetic energy of flowing water is converted into mechanical energy of the turbine.4. The moving armature of the generator in the magnetic field generate electricity. Here the mechanical energy of the turbine is converted into electrical energy in the generator.

The law of conservation of mass states that mass in an isolated system is neither created nor destroyed by chemical reactions or physical transformations. According to the law of conservation of mass, the mass of the products in a chemical reaction must equal the mass of the reactants.

Charge densityis a measure of electricchargeper unit volume of space, in one, two or three dimensions. More specifically: thelinear, surface, or volumecharge densityis the amount of electricchargeper unit length, surface area, or volume, respectively. The respective SI units are C.

In electromagnetism, charge density is the amount of electric charge per unit length, surface area, or volume. Volume charge density (symbolized by the Greek letter ρ) is the quantity of charge per unit volume, measured in the SI system incoulombspercubicmeter (C

c. gravitational force will act on free fall body.

As the beaker is moving up with acceleration, so we have to consider pseudo force on the pressure element.

Or simply in P= hdg , g will change to its apparent value g'=(g+a)

So pressure at depth h will be, P= h d (g+a)

Exploring Forces- Gravity" is a hands on activity in which visitors discover that it's easy to pour water out of a regular-sized cup, but not out of a miniature cup. They learn that size can affect the way materials like water behave.

it will be the same 6Nit is because the G value is constant throughout the universe and the masses do not change from place to place

It takes a certain velocity to put a satellite in orbit. By launching eastward about 5% of that velocity is provided by the rotating Earth, free of charge. Earth rotates eastwards, and that’s why the sun ‘rises’ in the east. Of course every point on the surface of the planet rotates once a day, but the circle with the largest circumference is the equator, so there the rotating Earth takes you farthest in 24hrs, so that’s where your ‘free velocity package’ is the biggest. And getting out of that plane is costing fuel too, so any given rocket puts the most mass into orbit when launched from the equator, in the equatorial plane, and eastward.

Consider an electric dipole consisting of 2 point charges−q−qand+q+qseparated by a distance2l2l. Let p be a point on a perpendicular bisector of a dipole at distance r from center O.VQq+=14π∈0qBQVQq+=14π∈0qBQVQq−=14π∈0−qAQVQq−=14π∈0−qAQ$V_Q= V_{P_{q+}}+V_{p_{q-}}V_Q= \large\frac{q}{4 \pi \in_0} \bigg[ \large\frac{1}{BQ}-\frac{1}{AQ} \bigg]V_Q=0BQ=AQ$The net electrostatic potential at a point in the electric field due to an electric dipole at any point on the equatorial line is zero.

A large amount of current is withdrawn from the circuit when a large number of electrical appliances of high power-rating are switched on at the same time or connected in a single multi-plug. This situation is called overloading.

If two vectors are perpendicular , their dot product will be Zero. It's a condition

P= ai + aj+3k Q=ai -2j-k

P.Q= (ai+aj+3k).(ai-2j-k)=0 mulitply their equal components

a^2 -2a -3 =0 Factorisation of a^2-2a -3 is (a+1)(a-3)So, a+1=0. a-3=0 a=-1. a=3In positive value ,Here positive value is 3 So the answer is 3

Considering for example quatisation of chargeQuantization of chargemeans that when we say something has a givencharge, we mean that that is how many times thechargeof a single electron it has. Because allchargesare associated with a whole electron, this is possible. So electrons have a a negativecharge, negativecharge.

Kindly repost a proper picture. The last part seems cropped

Focal length (f) = -20 cm (concave mirror)

Image distance (v) = -60cm (real image)

Height of the object (h1)= 1.2 m = 120 cm

Mirror Formula1/v + 1/u = 1/f(-1/60)+(1/u) = (-1/20)1/u= -1/20 + 1/601/u = (-3+1)/60= -2/60= -1/301/u= -1/30u = -30Object distance(u) = -30 cm

Magnification (m) = -v/um = - (-60) /-30= 60/-30= -2m = h2/h1-2 = h2/120-2×120 = h2h2 = - 240 cmHeight of real image (h2)= -240 cm

Real image is formed below the axis. So the height of a real image is negative.

Hence, the position of an object is -30 cm(to the left of mirror) & the height of the real image formed is -240 cm or 2.4 m

Wavelength=h/√V=12.27A°

it is. 1.5A. plz like and accept as best

कार्य करने की क्षमता को ऊर्जा कहते हैं

energy is the right answer

Work is related to the amount of energy transferred to or from a system by a force. It is a scalar-valued quantity with SI units ofJoule.

Power is defined to be the rate at which work is performed, or the derivative of work over time. The SI unit for power is thewatt.

Energy is stored work. It has the same units as work, the Joule (J).

Answer: a) JExplanation:Force: 1N, Displacement: 1m Formula W=force*distancew=1N*1m=1Nm=1J

Time=distance/speed

1.32km = 1320 m (1km = 1000m then 1.32km = 1320m)

Speed of sounf in air = 330 m/s

time = 1320 / 330

time = 4 second

Thus it would take 4 second for the sound of the factory siren to reach the worker.

◆ Solution-Frequency of police car horn heard by motorcyclist is -f1 = 400(330-v)/(330-20)f1 = 40(330-v)/31

Frequency of the siren heard by motorcyclist is -f2 = 300(330+v)/330f2 = 30(330+v)/33

As no beats are observed,f1 = f240(330-v)/31 = 30(330+v)/33435600 - 1320v = 306900 + 930v128700 = 390vv = 330 m/s

Therefore, velocity of the thief is 330 m/s.

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It will be 0and tan inverse x+ cot inverse x = π/2 and d/DX of constant is 0

KcandKpare the equilibrium constants of gaseous mixtures. However, the difference between the two constants is thatKcis defined by molar concentrations, whereasKpis defined by the partial pressures of the gasses inside a closed system. The equilibrium constants do not include the concentrations of single components such as liquids and solid, and they do not have any units.

Relationship between Kp and Kc

Consider the following reversible reaction:aA + bB ⇌ cC + dD

The equilibrium constant for the reaction expressed in terms of the concentration (mol / litre) may be expressed as:K c = [C] c [D] d / [A] a [B] b

If the equilibrium involves gaseous species, then the concentrations may be expressed in terms of partial pressures of the gaseous substance.

The equilibrium constant in terms of partial pressures may be given as:K p = pcC pdD / paA pbBWhere pA, pB, pC and pD represents the partial pressures of the substance A, B, C and D respectively. If gases are assumed to be ideal, then according to ideal gas equation:pV = nRTp = nRT / VWhere p ———-> pressure in Pan ——————–> amount of gas in molV ——————–> Volume in m3T ———————> temperature in Kelvinn/V = concentration, Corp = CRT or [gas] RT

If C is in mol dm-3 and p is in bar, then R = 0.0831 bar dm3 mol-1 K-1

Therefore, at constant temperature, pressure of the gas P is proportional to its concentration C, i.e.Let us suppose a general reaction:aA + bB↔ cC + dDThe equilibrium constant will be given as:Kp = (pC) c (pD) d /(pA) a (pB) b ……. (1)Now, p = CRTHence,pA = [A] RTwhere [A] is the molar concentration of ASimilarly,pB = [B] RTpC = [C] RTpD = [D] RTwhere [B], [C] and [D] are the molar concentration of B, C and D respectively.

Substituting these values in expression for Kp i.e. in equation (1)

Kp = [([C] RT) c ([D] RT) d]/[([A] RT) a ([B] RT) b]

= [C] c [D] d (RT) c+d/[A] a [B] b (RT) a+b= [C] c [D] d (RT) c+d – a+b/[A] a [B] b= Kc (RT) c+d – a+b= Kc (RT) ∆n

Where ∆n = (c + d) – (a + b) i.e. number of moles of gaseous products – number of moles of gaseous reactants in the balanced chemical reaction.

Hence relation between Kp and Kc is given as:Kp = Kc (RT) ∆n

thnx