Step 1: Use the Formula for Elongation
The elongation of a wire is given by:
$$ \Delta L = \frac{\sigma L}{Y} $$
\(\Delta L\) = Elongation of the wire
\(\sigma\) = Stress (Elastic limit)
L = Length of the wire
Y = Young’s modulus
Step 2: Substitute the Given Values
Given:
\(\sigma = 8 \times 10^8 \text{ N/m}^2\)
\(L = 1 \text{ m}\)
\(Y = 2 \times 10^{11} \text{ N/m}^2\)
Substituting these values into the equation:
$$ \Delta L = \frac{(8 \times 10^8) \times 1}{2 \times 10^{11}} $$
Step 3: Convert the Result
Solving the equation:
$$ \Delta L = 4 \times 10^{-3} \text{ m} $$
Converting to millimeters:
$$ \Delta L = 4 \text{ mm} $$
Conclusion
The elongation of the wire is 4 mm.
If the monochromatic source in Young's double slit experiment is replaced by white light,
1. There will be a central dark fringe surrounded by a few coloured fringes
2. There will be a central bright white fringe surrounded by a few coloured fringes
3. All bright fringes will be of equal width
4. Interference pattern will disappear
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector
\(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :
The output (Y) of the given logic gate is similar to the output of an/a :