Homework Statement
A stone is thrown with an initial velocity 5m/s such that it covers maximum possible horizontal distance RE on the surface of the Earth. The same stone is thrown with same initial velocity by a person standing on the moon, making an angle of 150 with the surface. given that...
Homework Statement
A uniform magnetic field B is perpendicular to the plane of a circular wire loop of radius R. The magnitude of the field varies with time according to B=B0exp(-t/τ) where B0 and τ are constants. The time dependence of the induced emf in the loop is
a) exp(-t2/τ2)
b)...
Ohkay. Mass = m0c2 = 0.5MeV. Armed with this when I solved I got √8x1010cm/s as the velocity which translates to 2.828x1010cm/s which closely matches option b). Thanks hilbert2.
To double the size of the system we would need to provide double the internal energy so U becomes 2U, then the volume would also double and since the volume increases the density decreases by 2 and so does the pressure, that means the entropy would also decrease by 2 so I have the equation...
Homework Statement
For an electron having energy 1.5MeV/c (mass of an electron is 0.5MeV), the velocity is given by?
a) 2.92x1010 cm/sec
b) 2.81x1010 cm/sec
c) 2.75x1010 cm/sec
d) 2.50x1010 cm/sec
Homework Equations
Kinetic Energy = 0.5mv2
The Attempt at a Solution
I first...
In the absence of any source of charge/current the Gauss' law states that the divergence of an electric field is zero. In this case although we are given a field it is given in the absence of any source, wouldn't that mean that density/permittivity then would also equate zero, finally giving the...
Given that internal energy is measured in Joules, LHS becomes J and RHS is (J/k)*m3
So to equate in terms of thermodynamic quantities we could multiply with T=1k and P=1N/m2 and divide it by enthalpy (H)=1J, but there is no relation such as this, is there?
Yes, that's the equation, new here, having trouble with writing complex equations.
I didn't get that. No problem at origin means its undefined there or well-defined even at the origin? If yes, how does Gauss' law remain intact?
That's the whole problem, no boundaries for the surface...
Homework Statement
The internal energy of a system is expressed by function U(S.V)=S4/3Vα, where α is a constant. The value of α is?
The Attempt at a Solution
Here internal energy is expressed in terms of volume and entropy but all the relations (as far as I know) are in terms of...
Homework Statement
Let the electric field in a certain region of space be given by E(\vec{}r)=C\vec{}r/ε0a3, where a has dimension length and C is a constant. The charge density is given by?
Homework Equations
∇.E=ρ/ε
The Attempt at a Solution
I've been searching this on the net...