A metallic bar of Young’s modulus, 0.5 × 1011 N m–2 and coefficient of linear thermal expansion 10–5 °C–1, length 1 m and area of cross-section 10–3 m2 is heated from 0°C to 100°C without expansion or bending. The compressive force developed in it is :
- 5 × 103 N
- 50 × 103 N
- 100 × 103 N
- 2 × 103 N
The Correct Option is B
Solution and Explanation
Step 1: Use the Formula for Thermal Stress
Thermal stress is given by:
$$ F = Y \alpha \Delta T A $$
\( Y \) = Young’s modulus
\( \alpha \) = Coefficient of linear thermal expansion
\( \Delta T \) = Temperature change
\( A \) = Area of cross-section
Step 2: Substitute the Given Values
Given:
\( Y = 0.5 \times 10^{11} \) N/m²
\( \alpha = 10^{-5} \) °C\(^{-1}\)
\( \Delta T = 100 \)°C
\( A = 10^{-3} \) m²
Substituting these values into the formula:
$$ F = (0.5 \times 10^{11}) (10^{-5}) (100) (10^{-3}) $$
Step 3: Simplify
$$ F = 0.5 \times 10^3 \times 100 $$
$$ F = 50 \times 10^3 \text{ N} $$
Step 4: Conclusion
The compressive force developed is 50 × 10³ N.
Top NEET Physics Questions
- The time constant of C-R circuit is
- The correct Boolean operation represented by the circuit diagram drawn is :
- The driver of a car travelling with speed $30\, m/sec$ towards a hill sounds a horn of frequency $600\, Hz.$ If the velocity of sound in air is $330\, m/s,$ the frequency of reflected sound as heard by driver is
- Two simple harmonic motions of angular frequency 100 and 1000 rad $s^1$ have the same displacement amplitude. The ratio of their maximum acceleration is
- In an ac circuit , an alternating voltage $e = 200 \sqrt2 \,sin \,100\, t$ volts is connected to a capacitor of capacitance $1 \,\mu \,F$. The rms value of the current in the circuit is :
Top NEET Youngs double slit experiment Questions
- In the Young's double- slit experiment, the intensity of light at a point on the screen where the path difference is λ is K, (λ being the wave length of light used). The intensity at a point where the path difference is \(\frac{λ}{4}\), will be:
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- The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young’s modulus, respectively, are 8 × 108 N m–2 and 2 × 1011 N m–2, is :
For Young's double slit experiment, two statements are given below:
Statement I: If screen is moved away from the plane of slits, angular separation of the fringes remians constant.
Statement II: If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases. In the light of the above statements, choose the correct answer from the options given below:
- In Young’s double slit experiment, if the separation between coherent sources is halved and the distance of the screen from the coherent sources is doubled, then the fringe width becomes :
Top NEET Questions
- A $100.0\, mL$ dilute solution of $Ag ^{+}$is electrolysed for $15.0$ minutes with a current of $1.25 \,mA$ and the silver is removed completely. What was the initial $\left[ Ag ^{+}\right]$?
- The time constant of C-R circuit is
- The chronological order of human evolution from early to the recent is
- The correct Boolean operation represented by the circuit diagram drawn is :
- The driver of a car travelling with speed $30\, m/sec$ towards a hill sounds a horn of frequency $600\, Hz.$ If the velocity of sound in air is $330\, m/s,$ the frequency of reflected sound as heard by driver is