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How would you set up a circuit to obtain NOT gate using a transistor?
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Figure shows three equidistant slits being illuminated by a monochromatic parallel beam of light. Let $\text{BP}_0-\text{AP}=\frac{\lambda}{3}$ and $\text{D}>\lambda.$
→- 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.
A capacitor is formed by two square metal-plates of edge a, separated by a distance d. Dielectrics of dielectric constants K1 and K2 are filled in the gap as shown in figure. Find the capacitance.
A parallel-plate capacitor having plate area 20cm2 and separation between the plates 1.00mm is connected to a battery of 12.0V. The plates are pulled apart to increase the separation to 2.0mm.
- Calculate the charge flown through the circuit during the process.
- How much energy is absorbed by the battery during the process?
- Calculate the stored energy in the electric field before and after the process.
- Using the expression for the force between the plates, find the work done by the person pulling the plates apart.
- Show and justify that no heat is produced during this transfer of charge as the separation is increased.
A glass surface is coated by an oil film of uniform thickness 1.00 × 10-4cm. The index of refraction of the oil is 1.25 and that of the glass is 1.50. Find the wavelengths of light in the visible region (400nm - 750nm) which are completely transmitted by the oil film under normal incidence.
Establish expressions for the force and torque on an electric dipole located in a uniform electric field. Find the value of torque for each case.
Total charge -Q is uniformly spread along length of a ring of radius R. A. small test charge +q of mass m is kept at the centre of the ring and is given a gentle push along the axis of the ring.
- Show that the particle executes a simple harmonic oscillation.
- Obtain its time period.
The plates of a capacitor are 2.00cm apart. An electronproton pair is released somewhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the positive plate. At what distance from the negative plate was the pair released?
Answer the following Questions.
→- Find expressions for the force and torque on an electric dipole kept in a uniform electric field.
OR
An electric dipole is held in a uniform electric field. (i) Using suitable diagram show that it does not undergo any translatory motion, and (ii) derive an expression for torque acting on it and specify its direction.
- Derive an expression for the work done in rotating a dipole from the angle $\theta_0$ to $\theta_1$ in a uniform electric field E.
OR
- Define torque acting on a dipole of dipole moment $\vec{\text{p}}$ placed in a uniform electric field $\vec{\text{E}}.$ Express it in the vector form and point out the direction along which it acts.
- What happens if the field is non-uniform?
- What would happen if the external field $\vec{\text{E}}$ is increasing (i) parallel to $\vec{\text{p}}$ and (ii) anti-parallel to $\vec{\text{p}}?$
Light is incident from glass $(\mu=1.50)$ to water $(\mu=1.33).$ Find the range of the angle of deviation for which there are two angles of incidence.
→A pendulum bob of mass 80mg and carrying a charge of 2 × 10-8C is at rest in a uniform, horizontal electric field of 20kVm-1. Find the tension in the thread.