MCQ
The dimensional formula for the modulus of rigidity is
  • A
    $M L^2 T^{-2}$
  • B
    $M L^{-1} T^{-3}$
  • C
    $M L^{-2} T^{-2}$
  • $M L^{-1} T^{-2}$

Answer

Correct option: D.
$M L^{-1} T^{-2}$
(d) Modulus of rigidity $=\frac{\text { Shear stress }}{\text { Shear strain }}=\left[M L^{-1} T^{-2}\right]$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The frequency of vibration of string is given by $v=\frac{p}{2 l}\left[\frac{F}{m}\right]^{1 / 2}$. Here $p$ is number of segments in the string and $/$ is the length. The dimensional formula for $m$ will be
A body, thrown upwards with some velocity, reaches the maximum height of $20 m$. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of
A particle free to move along the $x$-axis has potential energy given by $U(x)=k\left[1-\exp (-x)^2\right]$ for $-\infty \leq x \leq+\infty$, where $k$ is a positive constant of appropriate dimensions. Then
The average e.m.f. induced in a coil in which a current changes from 0 to $2 A$ in $0.05 s$ is $8 \mathrm{~V}$. The self inductance of the coil is
A galvanometer of $50 \mathrm{ohm}$ resistance has 25 divisions. A current of $4 \times 10$ ampere gives a deflection of one division. To convert this galvanometer into a voltmeter having a range of 25 volts, it should be connected with a resistance of
The temperature of the cold junction of thermo-couple is $0^{\circ} C$ and the temperature of hot junction is $T^{\circ} C$. The e.m.f. is $E=16 T-0.04 T^2 \mu$ volts. The temperature of inversion is
Which of the following statements is true
In a single slit diffraction experiment first minimum for red light $(660 nm )$ coincides with first maximum of some other wavelength $\lambda^{\prime}$. The value of $\lambda^{\prime}$ is
Using a bar magnet $P$, a vibration magnetometer has time period 2seconds. When a bar $Q$ (identical to $P$ in mass and size) is placed on top of $P$, the time period is unchanged. Which of the following statements is true
A bar magnet has a magnetic moment equal to $5 \times 10^{-5}$ weber $\times m$. It is suspended in a magnetic field which has a magnetic induction $(B)$ equal to $8 \pi \times 10^{-4}$ tesla The magnet vibrates with a period of vibration equal to $15 \mathrm{sec}$. The moment of inertia of the magnet is