NEET Physics Mechanical Properties Of Solids MCQs

A metal wire of Young's modulus Y and cross-sectional area A stretches by an amount $\Delta L$ when a load Mg is applied. Its rigidity modulus is:

What are the dimensions of stress?

If force has dimensions $[MLT^{-2}]$ and area has dimensions $[L^2]$, what are the dimensions of stress?

Pressure and stress have the same dimensions. If pressure is force per unit area, which of the following represents the dimensions of stress?

The unit of stress in the SI system is Pascal (Pa), which is equivalent to $N/m^2$. Knowing that Newton (N) has dimensions $[MLT^{-2}]$ and $m^2$ has dimensions $[L^2]$, what are the dimensions of stress?

Which physical quantity has the dimensions $[ML^{-1}T^{-2}]$?

A steel wire of length $L$ and cross-sectional area $A$ is suspended vertically. When a mass $M$ is attached to its free end, the wire stretches by $\Delta L$. The Young's modulus of the steel is:

A metal rod of length $2L$ and cross-sectional area $A/2$ experiences an elongation of $2\Delta L$ when subjected to a tensile force $F$. What is the Young's modulus of the metal?

A wire of length $L$ and cross-sectional area $A$ stretches by $\Delta L$ under a tensile stress $\sigma$. What is the Young's modulus of the wire?

A steel wire and a brass wire, both of length L and cross-sectional area A, are subjected to tensile stresses $\sigma_s$ and $\sigma_b$ respectively, such that they experience the same elongation. If the Young's modulus of steel is 1.5 times that of brass, what is the ratio of $\sigma_s$ to $\sigma_b$?