(b) Calculate Curl and divergence of given vector field x³y2 F = (3x + 2z?)î + ;- (z – 7x)k -j – (z %3D
Q: M Review | Constants | Periodic Table A rope of length L is attached to a vibrating mechanism that v...
A: The problem is based on the concept of vibrations of a string fixed at one end. Vibrations of a stri...
Q: A 60.0-cm length of wire carries a current of 10.0 A. It is bent into a circle and placed with its n...
A: force on the circular wire in the perpendicular magnetic field is given as:F =IBLSinθ=IBLSin90ohereI...
Q: (1 0 3 • Inertial tensor a body in the Cartesian coordinate system is equal to ÎI = I2 2 1). If the ...
A: K =12(PRINCIPAL MPMENT OF INERTIA)ω2K =12(1+4+4)Iω2=129Iω2
Q: An alpha particle (charge +2e) and an electron move in opposite directions from the same point, each...
A: The motion of the charged particle in the magnetic field: Let q is the charge moving with the veloci...
Q: A 2.0-kg block was released from rest at point A. It then moves through point B until it finally sto...
A: Given Mass (m) = 2.0 kg Angle θ = 32° Height (h) ...
Q: The interference pattern on a screen of a monochromatic light (A=549 nm) passing through two very na...
A: Answer : We know, the width of the interference fringe is : ...
Q: The segment of wire in the figure carries a current of l=6.00 A, where the radius of the circular ar...
A: Given data:I=6 AR=3 cm=0.03 m The Magnetic field at the origin due to two straight wires is zero. No...
Q: A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod o...
A: Solution: Consider that the third rod to be made of fractions ‘’ and ‘’ of the original rods as fo...
Q: 9 f 8 t The trough above is full of water that has a density of 62.4 lbs per cubic foot. How much wo...
A: Given: Density=62.4lbs/cubic ft r=4ft h=9ft
Q: A particle of mass m = 3 mg and charge lq|= 8 mC enters a uniform magnetic field region (B = 2k T ) ...
A: Given, the mass of the particle,m=3 mg Charge, q=8 mC Magnetic field, B→=2k^T Velocity of the partic...
Q: Effect of the Plate Separation 1. Click the Reset Button on the bottom right of the PHET simulation....
A: d in mm A in mm2 C (pF) U(pJ) Q(pC) V(Volts) 10 200 0.177 0.199125 0.2655 1.5 8 200 0.22125 0.24...
Q: A string of 1 m length clamped at both ends is plucked in the middle to generate a standing wave. Ta...
A: Standing waves are those waves which vibrates instead of propagate. This is achieved usually in a bo...
Q:
A: EMF induced on the wire,EMF=B×V×LWhere, L= length of the wire=60.0 cm=0.60 mV=speed of the wire afte...
Q: (1 0 3 • Inertial tensor a body in the Cartesian coordinate system is equal to ÎI = I| 2 2 1). If th...
A: Given, II~=I103221312andω→=ωi^+j^+k^
Q: Q3:- A laser has a divergence of 0.2 milliradians (mrad): (i) If the beam cross section is circular,...
A: Given Beam divergence = 0.2 milliradians (mrad) = 0.2×10-3 rad
Q: A disc is subjected to four forces as shown. Determine the magnitude and direction of the resultant ...
A: The given system can be considered as a coplanar non concurrent forces acting on a disc. Now let R b...
Q: Check Your Understanding Carbon-15 has a half-life of 2.45 seconds. Calculate the decay constant of ...
A: Given We have to determine the decay constant of Carbon-15, which has a half-life of 2.45 seconds, a...
Q: A constant force acts on a 5.0 kg object and reduces its velocity from 7.0 m/s to 3.0 m/s in a time ...
A: v=3 m/s u=7 m/s t=3 s m=5 kg a=(v-u)/t a=(3-7)/3=-4/3 m/s^2
Q: A 60.0-cm length of wire carries a current of 10.0 A. It is bent into an equilateral triangle loop a...
A: Given: The length of the wire L = 60 cm The current carried by the wire is I = 10 A The magnitude of...
Q: A thick-hollow spherical shell made of aluminum (=70 g/cm3) weighs 64.1 N. If the inner diameter of ...
A: The density of the thick-hollow spherical shell of aluminum is 70 g/cm3 or The weight of the thick-h...
Q: 1. A bulb with a long filament is placed in front of a black piece of paper cut into the shape shown...
A: Let's consider a single light source casting a shadow of a small paper cut onto a screen. The place...
Q: A weight is dropped from a balloon 2000ft above the ground. At the same instant another body was thr...
A: Given that a weight is dropped from height 2000ft with initial velocity zero, the height of this wei...
Q: solid sphere hollow 3a За D *o i a 3a -3a a 2a За -3a katı küre 3a boşluklu küre 3a The sphere on th...
A: Concept used: Gauss law is used to calculate electric field for equipotential surfaces. Drawing a g...
Q: Harmonic oscillator model is widely used in theoretical description of vibrational spectra. Sketch ...
A:
Q: Consider the curve - = (e', e-†, 4t) . r = The component, in the direction of the vector (-1,1,2), o...
A: Given data, Curve : r→=et,e-t,4t=eti^+etj^+4tk^ Given vector : -1,1,2=-i^+j^+2k^ Time t = 0
Q: The ladder and the person weigh 50 lb and 160 lb, respectively. The center ofmass of the 10-ft ladde...
A: Let's consider the following free-body diagram for the given problem. In this diagram, AC indicates...
Q: The magnetic flux through a metal ring varies with time t according to PB = 3(at3 – bt2)T · m², with...
A: Given:ϕB = 3( a t3 - b t2)a = 3.00 s-3b = 9.00 s-2given invarval t1 = 0t2= 2 sec
Q: A coherent light is used to illuminate two slits separated by a distance ? = 2.1×10^-4 ?. The screen...
A: This is a problem based on Young's Double slit experiment The distance between the two slits, d=2.1...
Q: show that if the orbit is nearly cicular, the apsides will advance approximatly by pi ro /a per revo...
A: Introduction: Bertrand's theorem states that among central-force potentials with bound orbits, there...
Q: An electric generator contains a coil of 100 turns of wire, each forming a rectangular loop 50.0 cm ...
A:
Q: Mary and Frank send radio signals to each other at 1-year intervals after she leaves earth.Analyze t...
A: First, analyze the frequency of the radio signal which Mary receives from Frank, the frequency is Do...
Q: The above figure shows a circular disc of 1kg mass and 0.2 m radius undergoing unconstrained planar ...
A: Given,mass m=1kgradius r=0.2mF1=10NF2=5N
Q: A uniform ladder 5.0 m long rests against a frictionless, vertical wall with its lower end 3.0 m fro...
A: Concept used: Static force of friction acts when the object is at rest.
Q: How is symmetry helpful to determine the modes of vibration of molecules?
A: The required number of “vibrational normal modes” is equal to the vibrational degree of freedom avai...
Q: Direction: You must answer the question below. It's not incomplete. Thank you in advance. - Suppose ...
A: Solution: As per the given data,
Q: μ_0 = 4π×10^(−7) T.m/A
A: Given : d=0.4×10-3m x=1m θ=4° ρ=2.7g/cm3=2700kg/m3 ...
Q: What is meant by the term “Smart Grid” using appropriate diagrams? What advantages doe this system g...
A: Introduction: The electrical grid is an intricate system designed to provide electricity all the way...
Q: Please help with the following :)
A: tanθ=1.21θ=tan-1(1.2)θ=50.190ϕ=39.8050FBD at joint B,FABsinϕ=13.5kNFAB=21.08kNFABcosϕ=FBCFBC=16.19kN...
Q: An electric generator contains a coil of 100 turns of wire, each forming a rectangular loop 50.0 cm ...
A: Given that,Number of turns (N) = 100The magnetic field (B) = 3.50 (T)The sides of rectangle =50 cm a...
Q: A conducting rod of length 50.0 cm is free to slide on two parallel conducting bars. A resistor R=4....
A: Given data, Length of the rod = 50 cm Resistance = 4 ohms Magnetic field = 2 T speed of the rod = 8 ...
Q: The rotation of a fly wheel is governed by the equation ω = 3t2 – 2t + 2 where ω is in radian per se...
A: The rotation of a fly wheel is given as ω=3t2-2t+2 After one second, the angular displacement is 4 ...
Q: A charged particle moves into a region of uniform magnetic field, goes through half a circle, and th...
A: From the figure we can say the particle enters the region from top and magnetic field in the region ...
Q: A car with a mass of 1000 kg traveling east at a speed of 25 m/s collides at an intersection with an...
A: From conservation of momentum mcvc+mc2vc2=mc+mc2V1000×25i+2000×20j=3000VV=8.33i+6.66jb)v=10.66m/s
Q: Which one of the following does not represent an exclusive OR operation for inputs A and B? O (A+8)A...
A: The exclusive OR operation for inputs A and B is given as, AB+BA Here, A is the first input, B is th...
Q: A charged particle_moves into a region_ of uniform magnetic field, goes through half a circle, and t...
A: Given, Mass of proton,mp=1.672×10-27kgMass of electron,me=9.11×10-31kgCharge,Q=1.602×10-19CTime,t=13...
Q: The stopping potential when a frequency of 1.61 x 1015 Hz is shone on a metal is 3 V. What is energ...
A: Given: Frequency of incident light is 1.61×1015Hz. Stopping potential is 3V.
Q: An 8-kg block E is attached to a pulley system as shown. If the end of the cable at A is pulled down...
A: Here, we use the constraint relations between the pulling point and the point E to get the required.
Q: Name at least three absorption edges accessible using synchrotron radiation which are very popular f...
A: There are three at least absorption edges are,
Q: Two objects, A and B, have the same mass move in an opposite direction, and collide with each other....
A: Elastic collision is a type of collision where both the momentum and the kinetic energy of the syste...
Q: Show that at higher temperatures T tends to infinity the Einstein heat capacity equation in agreemen...
A: Now Einstein heat capacity equation relates heat capacity of solid to its vibration and assumes that...
Step by step
Solved in 2 steps