A body of mass $\mathrm{m}=10\; \mathrm{kg}$ is attached to one end of a wire of length $0.3\; \mathrm{m} .$ The maximum angular speed (in $rad \;s^{-1}$ ) with which it can be rotated about its other end in space station is (Breaking stress of wire $=4.8 \times 10^{7} \;\mathrm{Nm}^{-2}$ and area of cross-section of the wire $=10^{-2}\; \mathrm{cm}^{2}$ ) is
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A wire suspended vertically from one of its ends is stretched by attaching a weight of $200\ N$ to the lower end. The weight stretches the wire by $1\ mm$. Then the elastic energy stored in the wire ......... $J$
When the temperature of a gas is $20^{\circ} C$ and pressure is changed from $P_1=1.01 \times 10^5 \,Pa$ to $P_2=1.165 \times$
$10^5 \,Pa$, then the volume changes by $10 \%$. The Bulk modulus is $.........\times 10^5 \,Pa$
A force is applied to a steel wire ' $A$ ', rigidly clamped at one end. As a result elongation in the wire is $0.2\,mm$. If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $2.4$ times that of the wire ' $A$ ', the elongation in the wire ' $B$ ' will be $............\times 10^{-2}\,mm$ (wires having uniform circular cross sections)
The work done in increasing the length of a $1$ $metre$ long wire of cross-section area $1\, mm^2$ through $1\, mm$ will be ....... $J$ $(Y = 2\times10^{11}\, Nm^{-2})$
An increases in pressure required to decreases the $200$ litres volume of a liquid by $0.004\%$ in container is .......... $kPa$ (Bulk modulus of the liquid $= 2100\, MPa$)