The probability of finding a green signal on a busy crossing X is 30 % . What is the probability of finding a green signal on X on two consecutive days out of three?

Let A be the event of finding a green signal on a busy crossing X The probability of finding a green signal on a busy crossing X is 30 % . P A = 30 100 = 3 10 The probability of not finding a green signal on a busy crossing X is P A ¯ = 1 - 3 10 = 7 10 . The probability of finding a green signal on X on two consecutive days out of three = P A P A P A ¯ + P A ¯ P A P A = 3 10 × 3 10 × 7 10 + 7 10 × 3 10 × 3 10 = 63 500 .

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Which policy of the British was a major cause of discontent that led to the Revolt of 1857?

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Important Questions on Dual Nature of Radiation and Matter

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

What kind of fringes do you expect to observe if white light is used instead of monochromatic light?

HARD

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Consider a Young's double slit experiment as shown in figure. What should be the slit separation

d

in terms of wavelength

λ

such that the first minima occurs directly in front of the slit

(S_{1})

HARD

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Derive the expression for the intensity at a point where interference of light occurs. Arrive at the conditions for maximum and zero intensity.

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Two light waves of intensities

I_{1}

and

I_{2}

having same frequency pass through the same medium at a time in the same direction and interfere. The sum of the minimum and maximum intensities is

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

The probability of finding a green signal on a busy crossing

X

30 %

. What is the probability of finding a green signal on

X

on two consecutive days out of three?

MEDIUM

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Obtain the expression for the fringe width of interference fringes in Young's Double slit experiment.

HARD

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Derive the expression for the fringe width in Young's double slit experiment.

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

An electron is accelerated through a potential difference of

10,000 V .

Its de Broglie wavelength is (nearly):

(m_{e} = 9 \times 1 0^{- 31} k g)

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

A particle

A

of mass

m

and charge

q

is accelerated by a potential difference of

50 V .

Another particle

B

of mass

4 m

and charge

q

is accelerated by a potential difference of

2500 V .

The ratio of de-Broglie wavelengths

\frac{λ_{A}}{λ_{B}}

is close to:

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a width of

7.5 \times 10^{- 12} m,

the minimum electron energy required is close to:

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

Four persons can hit a target correctly with probabilities

\frac{1}{2}, \frac{1}{3}, \frac{1}{4}

and

\frac{1}{8}

respectively. If all hit at the target independently, then the probability that the target would be hit, is

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

The energy associated with electric field is

(U_{E})

and with magnetic field is

(U_{B})

for an electromagnetic wave in free space. Then:

HARD

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

If one of two identical slits producing interference in Young’s experiment is covered with glass, so that the light intensity passing through it is reduced to

50 %

, find the ratio of the maximum and minimum intensity of the fringe in the interference pattern.

EASY

Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature

T

(Kelvin) and mass

m

is:

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

What is the de Broglie wavelength of a ball of mass $0.060 Kg$ moving at a speed of $1.0 m / s$ ?

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

A proton, a neutron, an electron and an

α

-particle have same energy. Then their de Broglie wavelengths compare as

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

According to Bohr’s atomic model, the circumference of the electron orbit is always an _____ multiple of de Broglie wavelength.

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

A die marked

1, 2, 3

in red

4, 5, 6

in green tossed. Let

A

be the event "number is even" and

B

be the event "number is marked red". Find whether the events

A

and

B

are independent or not.

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Physics>Modern Physics>Dual Nature of Radiation and Matter>Wave Nature of Matter

A problem in mathematics is given to three students

A, B, C

and their respective probability of solving the problem is

\frac{1}{2}, \frac{1}{3}

and

\frac{1}{4}

, the probability that the problem will be solved is

Which policy of the British was a major cause of discontent that led to the Revolt of 1857?

Important Questions on Dual Nature of Radiation and Matter

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