In: Physics

1.You measure the velocity of an electron to an accuracy of ±22.6 m/s. What is the minimum uncertainty in its position? (h = 6.626 × 10-34 J ∙ s, melectron = 9.11 × 10-31 kg)

A 32.2 μm

B4.03 μm

C5.12 µm

D 8.05 μm

E16.1 μm

2.A 10-g bouncy ball is confined in a 8.3-cm-long box. What is its minimum energy? (h = 6.626 × 10-34 J ∙ s)

A.8.1 × 10-65 J

B.9.4 × 10-75 J

C.3.2 × 10-46 J

D.1.3 × 10-20 J

1)

The uncertainty in the velocity of the electron is

And the mass of the electron is

So, from the uncertainty relation, we write

So, the uncertainty in the position is

So, putting the given values, we get

So, the minimum uncertainty in the position is

So, option (C) is correct.

2)

The uncertainty in the position is

So, the uncertainty in the momentum is given by

So, we get

So, if the uncertainty in the momentum is assumed to be of the
order of the momentum itself, then, we get the minimum value of the
momentum

So, the minimum energy is

So, option (A) is correct.

When an energetic electron with the velocity of 1.00 x 106 m s-1
was collided with Rb atom (assume stationary), Rb- anion moves at
313 m s-1 and released 382.4 nm of visible light. Calculate the
energy change during the formation of Rb- anion from Rb atom in kJ
mol-1

Determine the resolution of a manometer required to measure the
velocity of air at 50 m/s using a pitot tube and a mercury
manometer to achieve an uncertainty in the velocity of 1.5 m/s. The
air flows at 20 degrees C, 101.3 KPa demonstrate your result using
the formulation of kline and McClintock.

An electron moves with velocity of 6.0x106 m/s
perpendicular to a magnetic field facing out of the page. The
circular path of the electron has radius of 3 mm. (a) draw sketch
of the magnetic field and path of electron. Determine (b) the
magnitude of the B field, (c) acceleration of the electron
(me= 9.11x10-31 kg, e=60x10-19
C).
When a magnetic flux through 5 loops of wire increases by 30.0
T.m2, an average current of 40.0 A is induced in...

An electron and a 140-g baseball are each traveling 140 m/s
measure to a precision of 0.055%.
A. Calculate the uncertainty in position of the electron.
B. Calculate the uncertainty in position of the baseball.
C. Compare the uncertainty in position of each.
Please label and circle answers. Express answers to 2 sigfigs
and include units. Thanks!

An electron and a 0.0220 kg bullet each have a velocity of
magnitude 490 m/s, accurate to within 0.0100%. Within what lower
limit could we determine the position of each object along the
direction of the velocity? (Give the lower limit for the electron
in mm and that for the bullet in m
(b)
What If? Within what lower limit could we
determine the position of each object along the direction of the
velocity if the electron and the bullet...

An electron and a 0.0500-kg bullet each have a velocity of
magnitude 510 m/s, accurate to within 0.0100%. Within what lower
limit could we determine the position of each object along the
direction of the velocity? electron mm bullet m

An electron with velocity v = 2.0x106 m/s directed along +y
axis enters in a region of uniform electric
field, E = 8.0 x 103 V/m directed along +y axis. What is the
magnitude and direction of the
acceleration of the electron? How long does it take for the
electron to stop instantaneously? Answer:
15 2
a = 1.4x10 m/s , directed along – y-axis, t = 1.4 ns

An Electron is incident on a nitrogen atom
(mass=7.37x10-25kg). The electrons initial velocity is
4x104 m/s. The nitrogen atom is at rest. If The electron
deflects backwards at an angle of 35 degrees below the horizontal,
and at 3.7x104m/s what is the velocity and direction of
the nitrogen atom? (mass of an electron is
9.11x10-31kg)

A ball of mass 8.1 g with a speed of 22.6 m/s strikes a wall at
an angle 11.0o and then rebounds with the same speed and angle. It
is in contact with the wall for 44.0 ms. What is the magnitude of
the impulse associated with the collision force?

The speed of an electron is measured to be between 4.3x10^6 m/s
and 4.5x10^6 m/s. What is the fractional uncertainty of its speed
relative to the lower limit? What is the smallest possible
uncertainity in its position? Explain everything in detail.

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