2. Astronomers discover a planet orbiting around a star similar to our sun that is 20.0 lightyears away. How fast must a rocket ship go if the round trip is to take no longer than 40.0 years in time for the astronauts aboard? How much time will the trip take as measured on Earth?

Q: The magnetic flux through a loop of resistance 0.12 is varying according to the relation = 6t² +7t +…

A:

Q: (a) Show that the entropy o of a system in cannonical ensemble can be represented by- o = Σ P₁ log…

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Q: we have vectors v and w, then if || v || = 4 and v.w = -5, what is the minimum value of || w || ?

A: Given data, v=4v.w=-5

Q: A two-dimensional vector space is spanned by two orthogonal vectors 1) and 2). A linear operator Ã…

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Q: The 150-N force is applied as shown to one end of the curved wrench. If a = 17°, calculate the…

A: Concept: The Schematic diagram of the system is given below, Here, We have to calculate the Moment…

Q: Calculate the moment Mg of the 830-N force about the bolt at B. Simplify your work by first…

A: Solution:-Given thatF=830 N, r=220 mm=0.22 mh=555 mm=0.555 mθ=32° & ϕ=42°

Q: 10) Calculate the distance between the screen and slit for a double slit experiment with source…

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Q: PART 5: A very long, uniform line of charge with positive linear charge density A lies A very long,…

A: Given, There are two long charged lines in the (x,y) plane. one at the x-axis and the second at the…

Q: Ex. 2. A long solenoid of diametr 0.1 m has 2x 104 turns per metre. At the centre of the solenoid a…

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Q: avier is at NASA analyzing Moon rocks. In one of the rocks from the lunar Maria, he discovered 80%…

A: Given: The half life of the uranium is 4.5×109 years.  To determine: The age of lunar Maria rock…

Q: An electric moment dipole p oriented in the direction Ux is placed at a distance d from the…

A:

Q: The mass of the Moon is 7.35 x 1025 grams, and its mean density is 3.341g/cm³. Calculate the volume…

A: Given that-Mass of moon, m= 7.35×1025 gramsMean density, d= 3.341 g/cm3Volume=…

Q: 2. A perfectly flexible and homogeneous thread, hooked at one end, is in a vertical equilibrium…

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Q: Find the optical and acoustical branches of the dispersion relation for a diatomic linear lattice,

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Q: If the equation of the transverse wave is, y = 5 sin 2n where distance is in cm and time in second,…

A: We have to compute here-Wavelength of a wave (λ)=?Given that-Eqaution of wave is given as-Y=5 sin…

Q: A positive point charge moves towards point P. The magnetic field that the charge produces at point…

A: We know that  According to right hand thumb rule  " If we imagine the linear wire conductor carrying…

Q: Q3: Express the vector A = 2√3i+ 3√3j-2√2k in the primed triad i'j'k' in which x'y'-axes are rotated…

A: Here,We have,A = 23 i + 33 j - 2 2 k

Q: A light source radiates isotropically with a power of 240 W. The maximum intensity of the electric…

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Q: A. EXERCISES: 1. Write the following numbers in scientific notation. a. 0.000005 b. 3,000,000,000 c.…

A: Given, a) 0.000005 = 5 ×10-6 Moved decimal point 6 units to right b) 3,000,000,000. = 3×109 Moved…

Q: 3. Consider a pendulum of mass m suspended by a massless spring with unextended length b and spring…

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Q: 5) Calculate the distance between two successive bright fringe for a double slit experiment with…

A: The double-slit experiment uses two closely placed slits to study the interference pattern formed by…

Q: Calculate the work done in Joules by an engine during this reversible cycle. 9 p(atm) 2 8 7 6 5 4 3…

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Q: Consider a silicon pn junction at T = 300 K. Assume the doping concentration in the n region is Na =…

A: Given, Temperature = T = 300 K The doping concentration in the n region = Nd = 1016 cm-3 The doping…

Q: Given the density of iron as 7800 kg/m 3, and the Earth radius is 6.38 x 10 6 m, if 55% of the…

A: Given that-Density of iron, ρiron= 7800 kg/m3Earth radius, R= 6.38×106 m55% of Earth's volume is…

Q: Q3) How much work (in MeV) must be done to increase the speed of an electron from 1.2x10 m/s to…

A: Solution:-Given thatelectronInitial speed (u)=1.2×108 m/sFinal speed (v)=2.4X108 m/s

Q: uppose instead it burns the fuel in two stages as follow ms a mass of 0.3mo of fuel. It then…

A: Given: Initial mass is 60 % Fuel's mass is 0.6 mo

Q: 6 What should be lension applied to a cuire of lingth 75cm & mass & geam if it rubralie with a…

A: We need to compute- Tension to be applied to a wire (T)=? Given that- Length of the wire (L)=75…

Q: A copper wire has a cross section of 20 mm². It carries a current" = 0.324. The density of charge…

A: The current flowing through a wire is given by: I=neAvd                        (1) where, I is the…

Q: We observe an electron moving on a circular orbit of radius r = 9.1 mm in a uniform magnetic field…

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Q: One hundred turns of insulated copper wire are wound on an iron cylinder whose cross section has an…

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Q: Four positive charges are placed at the vertices of a square with side 2a The electrostatic force…

A: Four positive charges are placed at the corner of the square. The side of the square is 2a.  The…

Q: 5) What is the magnitude of the wave number k in region I or III in fig. 5.7? Given that U = 10 MeV,…

A: This is a problem based on step potential The energy of the potential well, U=10 MeV mass of the…

Q: A charged particle initially at rest is placed in a region of space where there is a uniform…

A: Solution:-Given thatcharged particle initially at restuniform magnetostatic field

Q: The constant potential difference across a 2 ohm resistor is 20 volts. How many watts of power are…

A: Given that-Resistance, R= 2ΩPotential difference across the resistor, V= 20 VoltWe know the relation…

Q: A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see figure…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A rectangular waveguide has a = 4 cm & b = 3 cm as its sectional dimensions. Find which modes among…

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Q: The magnetic energy stored in a inductor with current flowing through it is: O O Proportional to…

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Q: By keeping moment of inertia of a body constant, if cue double the time period augular momentum of…

A: We need to compute-New angular momentum (L2)=?Given that-Moment of inertia of body =IWe have,Moment…

Q: What is the length of a pendulum that has a period of 0.500 s?

A: Given that-Period of pendulum, T= 0.500 secFor simple pendulum-T=2πLg   equation 01where, T is the…

Q: 7. You are on an elevator that is plummeting toward the ground at 30 m/s and you jump up right…

A: Motion is said to be a relative term. What one sees a motion is purely his point of view and is…

Q: 3. The power consumed by an electric appliance is computed as the square of the voltage across the…

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Q: A sealed and insulated piston-cylinder assembly is used to compress an ideal gas. As you compress…

A: Given, A sealed and insulated piston-cylinder assembly is used to compress an ideal gas. and when it…

Q: For what ratio of slit width to wavelength will the first minima of a single-slit diffraction…

A: Diffraction is the phenomenon by which waves spread and bend around obstacles. For diffraction to…

Q: A string consists of two parts attached at x=0. The right part of the string has mass per unit…

A: Given, μl=12.8gmμ=3.2gmA=3.5cm

Q: Using spherical polar coordinates r, 8, 4 to find CM of a uniform solid hemisphere of radius R,…

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Q: shown the work done by the system is equal to:

A: Here We need to find Workdone By the System for the given P-V diagram

Q: Show that the equation of motion is =-mvert + Feat Specialize to the case of a rocket taking of…

A: To show the motion equation, mv=-mvext+Fext

Q: (a) Derive an expression for the bonding energy Eo in terms of the equilibrium interionic separation…

A: Solution: a). The given energy equation is,  EN=-Cr+De-rρ…

Q: The tractor shovel carries a 600kg load of soil, having a center of mass at G. Compute the member…

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Q: Four charges q, -q q, and -q, are located at equally spaced intervals on the x axis. Their x values…

A: Solution:-Given thatfour charges: q, -q, q and -qx values: -3a, -a, a and 3a