Embibe Experts Solutions for Chapter: Mechanical Properties of Matter, Exercise 1: AP EAPCET Medical 2021 (6-Sep Afternoon)

A force of $500 \mathrm{kg}$$.\mathrm{wt}$ can break a wire. What is the force necessary to break another wire of the same material and same length but of half the cross-sectional area?

A wire breaks if stretched by more than $l.$ It is now cut into two equal parts, then each part can be stretched without breaking by:

A block of wood floats in water with $(4/5{)}^{\mathrm{th}}$ of its volume submerged. If the same block just floats in a liquid, then find the density of this liquid. (Given density of water $=1000 \mathrm{kg} {\mathrm{m}}^{-3}$ )

A cylindrical tank has a hole of $1{ \mathrm{cm}}^2$ in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of $70{ \mathrm{cm}}^3 {\mathrm{s}}^{-1}$, then the maximum height up to which water can rise in the tank is_________

The cylindrical tube of a spray pump. having $30$ holes each of diameter $1 \mathrm{mm},$ has a crosssection of $6{ \mathrm{cm}}^2.$ If the liquid flow inside the tube is $1.2 \mathrm{m}$ per minute, then the speed of ejection of the liquid through the spray holes is

A wind with a speed $40 \mathrm{m}·{\mathrm{s}}^{-1}$ blows parallel to the roof of a house. Area of the roof is $250{ \mathrm{m}}^2.$ Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and direction of the force will be _________$\left({\rho }_{\text{air }}=1.2 \mathrm{kg}·{\mathrm{m}}^{-3}\right)$

A flat plate of area $10{ \mathrm{cm}}^2$ is separated form a large plate by a layer of Glycerine $1 \mathrm{mm}$ thick. If the coefficient of viscosity of Glycerine is $20$ poise, the force required to keep the plate moving with a velocity of $1 \mathrm{cm} {\mathrm{s}}^{-1}$ is $\underline{ }$
 

Two rain drops falling through air have radii in the ratio$1: 2$. They will have terminal velocity in the ratio________