The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

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The angle of minimum deviation in a prism is the angle at which a ray of light passing through the prism emerges parallel to the base of the prism. It is denoted by the symbol "δm".

The angle of a prism is given as 60 degrees. The refractive index of the material of the prism is given as √2.

Using the formula for the angle of minimum deviation, which is given by:

sin[(A+δm)/2]/sin(A/2) = n

where A is the angle of the prism and n is the refractive index of the prism material.

Substituting the given values, we get:

sin[(60+δm)/2]/sin(60/2) = √2

Simplifying this equation, we get:

sin[(30+δm)/2] = 1/√2

Taking the inverse sine of both sides, we get:

(30+δm)/2 = 45

Solving for δm, we get:

δm = 30 degrees

Therefore, the angle of minimum deviation for the prism is 30 degrees.

The angle of a prism is 60^∘ and its refractive index is √2. The angle of minimum deviation suffered by a ray of light in passing through it is 30 degrees.

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The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

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If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

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3.
Write any two features of nuclear forces.

4.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

5.
Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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The angle of a prism is 60. If the refractive index of the material of the prism is square root 2, the angle of minimum deviation is?

CBSE CLASS XII Related Questions

1. If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

2.Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

3. Write any two features of nuclear forces.

4.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

5.Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If both the number of protons and the neutrons are conserved in each nuclear reaction, in what way is mass converted into energy (or vice versa) in a nuclear reaction? Explain.

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Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

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Write any two features of nuclear forces.

4.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

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6.
What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?