Class 12th

The rest mass of the deuteron, proton and neutron is equivalent to energy of 1877MeV, 939MeV, 940MeV respectively. A deuteron may disintegrate to a proton and neutron if it.

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Contributor-Level 10

Energy of products = 939 + 940 = 1879
ΔE + E_reactions – E_productor = 1877 – 1879 = -2MeV.
Hence it must capture a γ - ray photon of energy 2MeV.

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9 months ago

An inductor and a resistor are connected to an ac supply of 120 V, 50 Hz. The resistance of the resistor is 20Ω. If the voltages leads the current by a phase difference of 45°, find the inductance of the inductor.

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Contributor-Level 10

X? = X? ⇒ ωL = R ⇒ 2 * 3.14 * 50 * L = 20 ⇒ L = 63.7mH

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9 months ago

Write the value of current i₃ (in mA) in the circuit shown in the figure.

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Class 12th Dual Nature of Radiation and Matter

Contributor-Level 10

$5 * 1 0^{3} I_{1} = 60$

$\Rightarrow I_{1} = \frac{60}{5 * 1 0^{3}} = 12 m A$

Potential difference across

$10 k Ω = 240 - 60 = 180 V$

$I_{2} = I_{3} - I_{1} = 6 m A$

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9 months ago

A source of light emits monochromatic visible light of wavelength 500 nm. The source emits light of power 100W. The number of photons emitted per sec of the visible light of the given wavelength is: $(h c = 1240 e V . n m)$

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Raj Pandey

Contributor-Level 9

Photon energy $\frac{}{} \frac{}{}^{}^{}$ $= \frac{h c}{λ} = \frac{1240 e V . n m}{500 n m} = 2.48 e V = 2.48 * 1.6 * 10^{- 19} J = 4 * 10^{- 19} J$

No. of photons emitted per sec $= \frac{power}{photon Energy} = \frac{100}{4 * 10^{- 19}} s^{- 1} = 2.5 * 10^{20} s^{- 1}$

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9 months ago

Class 12th Physics Wave Optics

In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. minimum value of n for which n^th bright band due to red light coincides with (n + 1)^th bright band due to blue light, is:

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Contributor-Level 10

n (7800) = (n + 1) 5200

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9 months ago

Calculate the value of output voltage V₀ (in V) if the Si diode and Ge diode conduct at 0.7V and 0.3V respectively as shown in figure.

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Class 12th Physics Moving Charges and Magnetism

Contributor-Level 10

$I = \frac{12 - 0.3}{5 * 1 0^{3}} = 2.34 m A$

$V_{0} = I R = (2.34 * 1 1^{- 3}) (5 * 1 0^{3}) = 11.7 V$

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9 months ago

An electron moving with a velocity of 2 m/s along +ve x-axis at a point in a magnetic field experiences a force of 2N along -ve y-axis. If the electron moves with of a velocity of 2 m/s along +ve y-axis at the same point, it experiences a force of 2N along +ve x-axis. Find force that the electron would experience if it were moving with a velocity of 2m/s along z-axis.

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Class 12th Physics Electrostatic Potential and Capacitance

Contributor-Level 10

v? = 2î F? = -2?
v? = 2? F? = -2î
⇒ B? is along -k? Hence v? = 2k? ⇒ F? = 0

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9 months ago

A proton and an $α$ -particle both initially at rest are accelerated in a region of electric potential difference V and gravity free space. The proton is projected with gained kinetic energy against a uniform constant electric field and comes to momentary rest after travelling a distance $S_{0}$ . If the $α$ -particle is also projected with gained kinetic energy against same electric field, it will come to momentary rest after travelling through:

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Raj Pandey

Contributor-Level 9

Gain in K.E. $=$ Loss in P.E.

$_{}$ $K_{p} = e V$ for proton

$K_{α} = 2 e V$ for $α$ - particle

Again, Loss in K.E. $=$ Work against field

$K_{p} = e E \cdot S_{0}$ for proton

$\Rightarrow e V = e E S_{0}$

$∴ S_{0} = \frac{V}{E}$

$K_{α} = 2 e E . S$ for $α -$ particle

$\Rightarrow 2 e V = 2 e E S$

$∴ S = \frac{V}{E} = S_{0}$

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9 months ago

Two infinite line charges having linear charge density λ₁ and λ₂ are placed along the x and y axis respectively. The electric field at a point (x₁, y₁) in the first quadrant is inclined at an angle of 60° with the x-axis. Then which of the following relations is correct.

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Contributor-Level 10

tan 60° = (2kλ? /y? )/ (2kλ? /x? )

(√3λ? /x? ) = (λ? /y? ); √3λ? y? = λ? x?

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9 months ago

Assuming the sun to be a spherical body (e = 1) of radius R at a temperature of T K, evaluate the total radiant power, incident on Earth having radius r₀, at a distance r from the Sun, where r₀ is the radius of the earth and $σ$ is Stefan's constant.

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