A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be
- 0.25
- 0.5
- 0.75
- 1
The Correct Option is A
Solution and Explanation
To determine the speed of light in the given system of units, where the values of the permeability of free space \(\mu_0\) and the permittivity of free space \(\epsilon_0\) are given as 2 and 8 respectively, we use the formula:
The speed of light \(c\) is given by:
\(c = \frac{1}{\sqrt{\mu_0 \cdot \epsilon_0}}\)
Substituting the given values:
\(c = \frac{1}{\sqrt{2 \cdot 8}}\)
Simplifying:
\(c = \frac{1}{\sqrt{16}}\)
Since \(\sqrt{16} = 4\), we get:
\(c = \frac{1}{4} = 0.25\)
Therefore, the speed of light in this system is \(0.25\).
Top VITEEE Physics Questions
- A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is
- A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is
- The masses of three copper wires are in the ratio $2 : 3 : 5$ and their lengths are in the ratio $5 : 3 : 2$ .Then, the ratio of their electrical resistances is
- A soap bubble of radius $r$ is blown up to form a bubble of radius $2 r$ under isothermal conditions. If $T$ is the surface tension of soap solution, the energy spent in the blowing
- A large number of liquid drops each of radius r coalesce to from a single drop of radius R. The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given, surface tension of liquid T, density $\rho$)
Top VITEEE Reflection Of Light By Spherical Mirrors Questions
- A cord attached to a vibrating tuning fork is divided into six segments under tension of $36 \,N$. It will be divided into fowl segments, if the tension is:
- A girl focused monochromatic orange light instead of monochromatic green light through a convex lens What will happen to focal length? (increase decrease does not change changes by a factor of
- A ray of light strikes a plane mirror at an angle of incidence \(30^\circ\). What is the angle between the incident ray and the reflected ray?
Top VITEEE Questions
- A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is
- A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is
- Which of the following is not a characteristic of transition elements ?
- Most crystals show good cleavage because their atoms, ions or molecules are
- Which of the following sets consists only of essential amino acids ?
Concepts Used:
Reflection of Light
When a light ray falls on any object, it is bounced back from the object. This process is known as the Reflection of light. The light reflected from the object falls into our eyes, making the object visible to us. All the things we see around us are because of reflection.
The reflection of light depends on the type of object. A polished or smooth surface reflects most of the light falling on it, while a rough surface absorbs some amount of light and reflects back the rest of the light. The direction of reflected rays depends upon the surface of the object.