Question
Obtain an expression for motional electromotive force.
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Answer
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Consider the $D–T$ reaction $($deuterium $–$ tritium fusion$)$ $^2_1\text{H}+^3_1\text{H}\rightarrow^4_2\text{He}+\text{n} $
$\text{m}(^3_1\text{H})=3.016049\text{ u}$
→- Calculate the energy released in $\text{MeV}$ in this reaction from the data:
$\text{m}(^3_1\text{H})=3.016049\text{ u}$
- Consider the radius of both deuterium and tritium to be approximately $2.0 fm$. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction? $($Hint: Kinetic energy required for one fusion event $=$ average thermal kinetic energy available with the interacting particles $= 2(3kT/2); k =$ Boltzman’s constant $, T =$ absolute temperature.$)$
A stone is thrown vertically upward with a speed of $28m/s.$
→- Find the maximum height reached by the stone.
- Find its velocity one second before it reaches the maximum height.
- Does the answer of part.
- Change if the initial speed is more than $28m/s$ suchas $40m/s$ or $80m/s$?
Hari is a student of Class X in a school near his village. His uncle gifted him a bicycle with a dynamo fitted in it. He was thrilled to find that while cycling during night, he could light the bulb and see the objects on the road clearly. He, however, did not know how this device works. He asked this question to his teacher. The teacher considered it an opportunity and explained the working of a dynamo to the whole class.
Answer the following questions:
Answer the following questions:
- State the principle and working of a dynamo.
- Write two values each displayed by Hari and his Science teacher.
How is $p-n$ junction diode is used as an half wave rectifier? Explain its action with proper circuit diagram. Show the input and output waveform also.
→The circuit in Fig. shows two cells connected in opposition to each other. Cell $E_1$ is of emf $6V$ and internal resistance $2\Omega$ ; the cell $E_2$ is of emf $4V$ and internal resistance $8\Omega$ . Find the potential difference between the points $A$ and $B$.
→A rod of mass m and resistance $R$ slides smoothly over two parallel perfectly conducting wires kept sloping at an angle $\theta$ with respect to the horizontal $($Fig$)$. The circuit is closed through a perfect conductor at the top. There is a constant magnetic field $B$ along the vertical direction. If the rod is initially at rest, find the velocity of the rod as a function of time.
→An aluminium plate fixed in a horizontal position has a hole of diameter $2.000\ cm$. A steel sphere of diameter $2.005\ cm$ rests on this hole. All the lengths refer to a temperature of $10^\circ C$. The temperature of the entire system is slowly increased. At what temperature willl the ball fall down? Coefficient of linear expansion of aluminium is $23 \times 10^{-6^\circ} C^{-1 }$ and that of steel is $11 \times 10^{-6^\circ} C^{-1}$.
→How did de Broglie hypothesis lead to Bohr’s quantum condition of atomic orbits?
Figure shows three equidistant slits being illuminated by a monochromatic parallel beam of light.
Let $\text{BP}_0-\text{AP}=\frac{\lambda}{3}$ and $\text{D}>\lambda.$
→Let $\text{BP}_0-\text{AP}=\frac{\lambda}{3}$ and $\text{D}>\lambda.$
- Show that in this case $\text{d}=\sqrt{\frac{2\lambda\text{D}}{3}}.$
- Show that the intensity at $P,$ is three times the intensity due to any of the three slits individually.
$i$. Define the capacitance of a capacitor. Obtain the expression for the capacitance of a parallel plate capacitor in vacuum in terms of plate area $A$ and separation d between the plates.
$ii.$ A slab of material of dielectric constant $k$ has the same area as the plates of a parallel plate $\frac{3 d}{4}$ capacitor but has a thickness $ -$. Find the ratio of the capacitance with dielectric inside it to its capacitance without the dielectric.
→$ii.$ A slab of material of dielectric constant $k$ has the same area as the plates of a parallel plate $\frac{3 d}{4}$ capacitor but has a thickness $ -$. Find the ratio of the capacitance with dielectric inside it to its capacitance without the dielectric.