Question
Define root mean square velocity. How is the temperature of an ideal gas explained by the kinetic theory of gases?
✓
Answer
SELF
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A body performs simple harmonic motion according to the following equation :
$
x=6 \sin \left(3 \pi t+\frac{\pi}{3}\right)
$
Find out : (i) amplitude (ii) period (iii) initial art (iv) displacement, velocity and acceleration at time $t = 2$.
→$
x=6 \sin \left(3 \pi t+\frac{\pi}{3}\right)
$
Find out : (i) amplitude (ii) period (iii) initial art (iv) displacement, velocity and acceleration at time $t = 2$.
A current i is passed through a silver strip of width d and area of cross-section A. The number of free electrons per unit volume is n.
- Find the drift velocity v of the electrons.
- If a magnetic field B exists in the region, as shown in the figure, what is the average magnetic force on the free electrons?
- Due to the magnetic force, the free electrons get accumulated on one side of the conductor along its length. This produces a transverse electric field in the conductor, which opposes the magnetic force on the electrons. Find the magnitude of the electric field which will stop further accumulation of electrons.
- What will be the potential difference developed across the width of the conductor due to the electron-accumulation? The appearance of a transverse emf, when a current-carrying wire is placed in a magnetic field, is called Hall effect.
An LR circuit has L = 1.0H and $\text{R}=20\Omega.$ It is connected across an emf of 2.0V at t = 0. Find $\frac{\text{di}}{\text{dt}}$ at:
→- t = 100ms
- t = 200ms
- t = 1.0s
Check the accuracy of following formulas:
(i) $F =\frac{m v^2}{r}$
(ii) $T =\frac{\text { hrgd }}{2}$
(iii) $T =2 \pi \sqrt{\frac{l}{g}}$
(iv) $Y =\frac{ MgL }{\pi r^2 l}$ Here, Y is Young's modulus.
(v) $S =u t+\frac{1}{2} a t^2$
(vi) $\frac{1}{2} m v^2=m g h$
(vii) $v^2=u^2+2 a s$ where $v$ and $u$ are final and initial velociteis respectively. a is acceleration and $s$ is the distance covered.
(viii) $n=\frac{1}{2 l} \sqrt{\frac{T}{m}}$, Here $n$ is frequency, T is tension force, $l$ is length and $m$ is mass of unit length.
→(i) $F =\frac{m v^2}{r}$
(ii) $T =\frac{\text { hrgd }}{2}$
(iii) $T =2 \pi \sqrt{\frac{l}{g}}$
(iv) $Y =\frac{ MgL }{\pi r^2 l}$ Here, Y is Young's modulus.
(v) $S =u t+\frac{1}{2} a t^2$
(vi) $\frac{1}{2} m v^2=m g h$
(vii) $v^2=u^2+2 a s$ where $v$ and $u$ are final and initial velociteis respectively. a is acceleration and $s$ is the distance covered.
(viii) $n=\frac{1}{2 l} \sqrt{\frac{T}{m}}$, Here $n$ is frequency, T is tension force, $l$ is length and $m$ is mass of unit length.
A hot air balloon is a sphere of radius 8 m . The air inside is at a temperature of $60^{\circ} \mathrm{C}$. How large a mass can the balloon lift when the outside temperature is $20^{\circ} \mathrm{C}$ ? (Assume air is an ideal gas, $\mathrm{R}=8.314 \mathrm{~J} \mathrm{~mole}^{-1} \mathrm{~K}^{-1}, 1 \mathrm{~atm} .=1.013 \times$ $10^5$ Pa the membrane tension is $5 \mathrm{~N} \mathrm{~m}^{-1}$)
→Answer the following: In the man walks $2m$ carrying a mass of $15kg$ on his hands. In he walks the same distance pulling the rope behind him. The rope goes over a pulley, and a mass of $15kg$ hangs at its other end. In which case is the work done greater?
→A piano wire A vibrates at a fundamental frequency of 600Hz. A second identical wire B produces 6 beats per second with it when the tension in A is slightly increased. Find the ratio of the tension in A to the tension in B.
(a) Find the current in the $20\Omega$ resistor shown in the figure. (b) If a capacitor of capacitance $4\mu\text{F}$ is joined between the points A and B, what would be the electrostatic energy stored in it in steady state?
→A capacitor having a capacitance of $100\mu\text{F}$ is charged to a potential difference of $50V$.
→- What is the magnitude of the charge on each plate?
- The charging battery is disconnected and a dielectric of dielectric constant $2.5$ is inserted. Calculate the new potential difference between the plates.
- What charge would have produced this potential difference in absence of the dielectric slab.
- Find the charge induced at a surface of the dielectric slab.
A uniform chain of length L and mass M overhangs a horizontal table with its two third part on the table. The friction coefficient between the table and the chain is $\mu.$ Find the work done by the friction during the period the chain slips off the table.
→