Considering particle in a 1-D box of dimension L with a specific potential well given by (1) U = ∞o for x < 0, (2) U = 0 for 0 ≤ x ≤ L, and (3) U = U, for x > L and assuming that particle's energy E is less than U, show the relation for determining E.

Q: Q2. A pocket dosimeter with a volume of 2.2 cm and capacitance of 8 pF was fully charged at a…

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Q: M M

A: For solution refer below images.

Q: The temperature at the point (x, y, z) in a substance with conductivity K = 5.5 is u(x, y, z) = 4y2…

A: Conductivity K = 5.5  u(x, y, z) = 4y²+ 4z²cylindrical surface y² + z² = 70 ≤ x ≤ 2

Q: Q11. As shown in the image below, a 69-kg crate is supported at equilibrium. The angles a = 112°, ß…

A: Solution is given below.

Q: Question 1. Two immiscible liquids are between the two plates moved with the constant velocity VO at…

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Q: 2. A long cylinder of radius a is pushed with velocity U into a semicircular cavity of radius a(1+…

A: Calculated force per unit length of the cylinder.

Q: The force in Newtons on a particle directed along the z-axis is given by F(x)=exp(-(x/5)+9) for x2 0…

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Q: R=2h h

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Q: se   − ∇p = ρ(∂v/∂t) to find an expression for the particle velocity for an acoustic pressure…

A: Acoustic pressure, pt=Peiωt-kx The continuity equation -∇p=ρ∂v∂t

Q: Dv 1 -+-V(v•v)-vx(Vxv) Dt at 2 where Dt +v.V is known as the "substantial derivative" operator = -

A: It is to be proved as, DvDt=∂v∂t+12∇v·v-v×∇×vWhere,DDt=∂∂t+v·∇

Q: An explosion inside a factory produces a pressure wave of 2lb/in2 against a window. Find the force…

A: The unit of pressure is given in lb/in2. But the unit comes out in m2. Hence convert square meter…

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.