Free Printable particle in a box

1.

For a particle in a box, the PE inside the box is taken as

a)

infinity

b)

zero

c)

finite

d)

can't say anything

2.

The expectation value of momentum of a paricle inside a box is

a)

zero

b)

\pm\frac{nh}{2L}

c)

$\pm\frac{n\pi h}{2L}$

d)

$+\frac{n\pi h}{2L}$

e)

$-\frac{n\pi h}{2L}$

3.

The wavefunction of a particle in a box is given by

\Psi=A\sin\ \frac{n\pi x}{L}

where A =

a)

$\sqrt{\frac{2}{L}}$

b)

$\sqrt{\frac{L}{2}}$

c)

$\sqrt{\frac{2L}{h}}$

d)

$\sqrt{\frac{2h}{L}}$

4.

The first excited state energy of an electron in a box of 1Å width

a)

130.5 eV

b)

140.5 eV

c)

150.5 eV

d)

160.5 eV

5.

The expectation value of position of a particle trapped in a box of width L is

a)

0

b)

L

c)

$\frac{L}{2}$

d)

$\frac{L}{4}$

6.

The probability of finding the particle on a box of width L, at x = L is

a)

1

b)

0

c)

0.5

d)

0.75

7.

The eigen value of momentum of a particle in a box is

a)

0

b)

$\pm\frac{nh\pi}{L}$

c)

$\pm\frac{nh}{2L}$

d)

$\pm\frac{n\pi}{2hL}$

8.

The eigen value obtained when the operator

\frac{d^2}{dx^2}

operates on the eigen function 'sin x' is

a)

cos x

b)

0

c)

$+1$

d)

$-1$

9.

Does the energy of a free paricle in a box depend on width of the box

a)

yes

b)

no

10.

which are the positions at which the wavefunction of a particle in a box becomes zero in the second excited state?

a)

0, L

b)

$0,\ \frac{L}{2},\ L$

c)

$0,\ \frac{L}{3},\ \frac{2L}{3},\ L$

d)

$0,\ \frac{L}{4},\ \frac{3L}{4},\ L$

particle in a box

Total questions: 10

Worksheet time: 6mins

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