The two non-zero principal stresses at a point in a thin plate are $\sigma_{1}=25 \mathrm{MPa}$ and $\sigma_{2}=-25 \mathrm{MPa}$. The maximum shear stress (in $M P a$ ) at this point is__________

Question ID - 155699 :- The two non-zero principal stresses at a point in a thin plate are $\sigma_{1}=25 \mathrm{MPa}$ and $\sigma_{2}=-25 \mathrm{MPa}$. The maximum shear stress (in $M P a$ ) at this point is__________

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Answer Key : (24.99 to 25.01) -

24.99 to 25.01

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Consider the density and altitude at the base of an isothermal layer in the standard atmosphere to be $\rho_{1}$ and $h_{1}$, respectively. The density variation with altitude ( $\rho$ versus $h$ ) in that layer is governed by
( $R$ : specific gas constant, $T:$ temperature, $g_{0}:$ acceleration due to gravity at sea level)
(A) $\frac{\rho}{\rho_{1}}=e^{-\left[\frac{g_{0}}{R T}\right]\left(h-h_{1}\right)}$
(B) $\frac{\rho}{\rho_{1}}=e^{-\left[\frac{g_{0}}{R T}\right]\left(h_{1}-h\right)}$
(C) $\frac{\rho}{\rho_{1}}=e^{-\left[\frac{R T}{g_{0}}\right]\left(h-h_{1}\right)}$
(D) $\frac{\rho}{\rho_{1}}=e^{-\left[\frac{R T}{g_{0}}\right]\left(h_{1}-h\right)}$