A piece of metal weighs 45 g in air and 25 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The apparent weight loss is equal to the weight of the displaced liquid (Archimedes' Principle).At $30^{\circ} C$: Loss in weight = $45 - 25 = 20

Vedclass · Accepted Answer

$2.6 	imes 10^{-3} /^{\circ} C$

Vedclass · Answer

(C) The apparent weight loss is equal to the weight of the displaced liquid (Archimedes' Principle).At $30^{\circ} C$: Loss in weight = $45 - 25 = 20 \ g$.Volume of metal $V_{30} = \frac{	ext{Loss}}{ho_{30}} = \frac{20 \ g}{1.5 \ g/cm^3} = 13.33 \ cm^3$.At $40^{\circ} C$: Loss in weight = $45 - 27 = 18 \ g$.Volume of metal $V_{40} = \frac{	ext{Loss}}{ho_{40}} = \frac{18 \ g}{1.25 \ g/cm^3} = 14.40 \ cm^3$.The coefficient of volume expansion $\gamma$ is given by $V_{40} = V_{30}(1 + \gamma \Delta T)$.$\gamma = \frac{V_{40} - V_{30}}{V_{30} \Delta T} = \frac{14.40 - 13.33}{13.33 	imes (40 - 30)} = \frac{1.07}{133.3} \approx 8.03 	imes 10^{-3} /^{\circ} C$.The coefficient of linear expansion $\alpha = \frac{\gamma}{3} = \frac{8.03 	imes 10^{-3}}{3} \approx 2.67 	imes 10^{-3} /^{\circ} C$.

Similar Questions

Consider a solid sphere of radius $R$ and mass density $\rho(r) = \rho_{0} \left(1 - \frac{r^{2}}{R^{2}}\right)$ for $0 < r \leq R$. The minimum density of a liquid in which it will float is

An empty glass jar is submerged in a tank of water with the open mouth of the jar downwards, so that the air inside the jar is trapped and cannot escape. As the jar is pushed down slowly, the magnitude of the net buoyant force on the system of the volume of gas trapped in the jar and the jar:

$A$ wooden block of density $0.5 \ g/cc$ is tied to a string. The other end of the string is fixed to the bottom of a tank. The tank is filled with a liquid of density $1 \ g/cc$. If the tension of the string is $20 \ N$, then the mass of the block is (Take $g = 10 \ m/s^2$) (in $kg$)

$A$ boat carrying a number of stones is floating in a water tank. If the stones are unloaded into the water,the water level in the tank will ............

$A$ sample of metal weighs $210 \ g$ in air,$180 \ g$ in water,and $120 \ g$ in a liquid. Then,the relative density $(RD)$ of:

Vedclass Test Series

Exam Paper Generator

Online Exam Module