360989
A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with an acceleration \(a( < g)\). The spring length
1 Will decreases but not zero
2 Will become zero
3 May increase or decrease or remain constant
4 Will increase
Explanation:
As the vessel is accelerating down then pseudo force acts on the block in the upward direction and hence the spring length increases.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360990
A boy is carrying a bucket of water in one hand and a piece of plastic in the other. After transferring the plastic piece to the bucket (in which it floats) the boy will carry:
1 Same load as before
2 More load as before
3 Less load as before
4 Either less or more load, depending on the density of plastic
Explanation:
Conceptual Question
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360991
A cube of mass \({m}\) and density \({D}\) is suspended in a liquid of density \({d < D}\) with the help of a spring of stiffness \({k}\). The elongation of spring is
1 \({\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)}\)
2 \({\dfrac{m g}{k}\left(1-\dfrac{D}{d}\right)}\)
3 \({\dfrac{m g}{k}\left(1+\dfrac{d}{D}\right)}\)
4 \({\dfrac{m g}{k}\left(1+\dfrac{D}{d}\right)}\)
Explanation:
Let volume of cube \({=V}\) Weight of body in liquid \({=V g(D-d)}\)\(\begin{aligned}\therefore \quad k x & =V g(D-d)=\dfrac{m g}{D}(D-d) \\x & =\dfrac{m g}{k}\left(\dfrac{D-d}{D}\right) \\& =\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)\end{aligned}\). So correct option is (1)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360992
Iceberg floats in water with part of it submerged. What is the dfraction of the volume of iceberg submerged if the density of ice is \(\rho = 0.917\;g\) \(c{m^{ - 3}}\) ?
1 0.458
2 0
3 0.917
4 1
Explanation:
Given that \({\rho _{ice{\rm{ }}}} = 0.917\;g\;c{m^{ - 3}}\) and \({\rho _w} = 1\;g\;c{m^{ - 3}}\) Let \(V\) be the total volume of the iceberg and \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) be the volume of iceberg submerged in water. Since, iceberg is floating. Weight of iceberg = Weight of water displaced by the immersed part of the icebreg \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) \( \Rightarrow \frac{{{V_1}}}{{\;V}} = \frac{{{\rho _{ice{\rm{ }}}}}}{{{\rho _w}}} = 0.917\)
360989
A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with an acceleration \(a( < g)\). The spring length
1 Will decreases but not zero
2 Will become zero
3 May increase or decrease or remain constant
4 Will increase
Explanation:
As the vessel is accelerating down then pseudo force acts on the block in the upward direction and hence the spring length increases.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360990
A boy is carrying a bucket of water in one hand and a piece of plastic in the other. After transferring the plastic piece to the bucket (in which it floats) the boy will carry:
1 Same load as before
2 More load as before
3 Less load as before
4 Either less or more load, depending on the density of plastic
Explanation:
Conceptual Question
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360991
A cube of mass \({m}\) and density \({D}\) is suspended in a liquid of density \({d < D}\) with the help of a spring of stiffness \({k}\). The elongation of spring is
1 \({\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)}\)
2 \({\dfrac{m g}{k}\left(1-\dfrac{D}{d}\right)}\)
3 \({\dfrac{m g}{k}\left(1+\dfrac{d}{D}\right)}\)
4 \({\dfrac{m g}{k}\left(1+\dfrac{D}{d}\right)}\)
Explanation:
Let volume of cube \({=V}\) Weight of body in liquid \({=V g(D-d)}\)\(\begin{aligned}\therefore \quad k x & =V g(D-d)=\dfrac{m g}{D}(D-d) \\x & =\dfrac{m g}{k}\left(\dfrac{D-d}{D}\right) \\& =\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)\end{aligned}\). So correct option is (1)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360992
Iceberg floats in water with part of it submerged. What is the dfraction of the volume of iceberg submerged if the density of ice is \(\rho = 0.917\;g\) \(c{m^{ - 3}}\) ?
1 0.458
2 0
3 0.917
4 1
Explanation:
Given that \({\rho _{ice{\rm{ }}}} = 0.917\;g\;c{m^{ - 3}}\) and \({\rho _w} = 1\;g\;c{m^{ - 3}}\) Let \(V\) be the total volume of the iceberg and \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) be the volume of iceberg submerged in water. Since, iceberg is floating. Weight of iceberg = Weight of water displaced by the immersed part of the icebreg \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) \( \Rightarrow \frac{{{V_1}}}{{\;V}} = \frac{{{\rho _{ice{\rm{ }}}}}}{{{\rho _w}}} = 0.917\)
360989
A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with an acceleration \(a( < g)\). The spring length
1 Will decreases but not zero
2 Will become zero
3 May increase or decrease or remain constant
4 Will increase
Explanation:
As the vessel is accelerating down then pseudo force acts on the block in the upward direction and hence the spring length increases.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360990
A boy is carrying a bucket of water in one hand and a piece of plastic in the other. After transferring the plastic piece to the bucket (in which it floats) the boy will carry:
1 Same load as before
2 More load as before
3 Less load as before
4 Either less or more load, depending on the density of plastic
Explanation:
Conceptual Question
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360991
A cube of mass \({m}\) and density \({D}\) is suspended in a liquid of density \({d < D}\) with the help of a spring of stiffness \({k}\). The elongation of spring is
1 \({\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)}\)
2 \({\dfrac{m g}{k}\left(1-\dfrac{D}{d}\right)}\)
3 \({\dfrac{m g}{k}\left(1+\dfrac{d}{D}\right)}\)
4 \({\dfrac{m g}{k}\left(1+\dfrac{D}{d}\right)}\)
Explanation:
Let volume of cube \({=V}\) Weight of body in liquid \({=V g(D-d)}\)\(\begin{aligned}\therefore \quad k x & =V g(D-d)=\dfrac{m g}{D}(D-d) \\x & =\dfrac{m g}{k}\left(\dfrac{D-d}{D}\right) \\& =\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)\end{aligned}\). So correct option is (1)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360992
Iceberg floats in water with part of it submerged. What is the dfraction of the volume of iceberg submerged if the density of ice is \(\rho = 0.917\;g\) \(c{m^{ - 3}}\) ?
1 0.458
2 0
3 0.917
4 1
Explanation:
Given that \({\rho _{ice{\rm{ }}}} = 0.917\;g\;c{m^{ - 3}}\) and \({\rho _w} = 1\;g\;c{m^{ - 3}}\) Let \(V\) be the total volume of the iceberg and \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) be the volume of iceberg submerged in water. Since, iceberg is floating. Weight of iceberg = Weight of water displaced by the immersed part of the icebreg \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) \( \Rightarrow \frac{{{V_1}}}{{\;V}} = \frac{{{\rho _{ice{\rm{ }}}}}}{{{\rho _w}}} = 0.917\)
360989
A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with an acceleration \(a( < g)\). The spring length
1 Will decreases but not zero
2 Will become zero
3 May increase or decrease or remain constant
4 Will increase
Explanation:
As the vessel is accelerating down then pseudo force acts on the block in the upward direction and hence the spring length increases.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360990
A boy is carrying a bucket of water in one hand and a piece of plastic in the other. After transferring the plastic piece to the bucket (in which it floats) the boy will carry:
1 Same load as before
2 More load as before
3 Less load as before
4 Either less or more load, depending on the density of plastic
Explanation:
Conceptual Question
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360991
A cube of mass \({m}\) and density \({D}\) is suspended in a liquid of density \({d < D}\) with the help of a spring of stiffness \({k}\). The elongation of spring is
1 \({\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)}\)
2 \({\dfrac{m g}{k}\left(1-\dfrac{D}{d}\right)}\)
3 \({\dfrac{m g}{k}\left(1+\dfrac{d}{D}\right)}\)
4 \({\dfrac{m g}{k}\left(1+\dfrac{D}{d}\right)}\)
Explanation:
Let volume of cube \({=V}\) Weight of body in liquid \({=V g(D-d)}\)\(\begin{aligned}\therefore \quad k x & =V g(D-d)=\dfrac{m g}{D}(D-d) \\x & =\dfrac{m g}{k}\left(\dfrac{D-d}{D}\right) \\& =\dfrac{m g}{k}\left(1-\dfrac{d}{D}\right)\end{aligned}\). So correct option is (1)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360992
Iceberg floats in water with part of it submerged. What is the dfraction of the volume of iceberg submerged if the density of ice is \(\rho = 0.917\;g\) \(c{m^{ - 3}}\) ?
1 0.458
2 0
3 0.917
4 1
Explanation:
Given that \({\rho _{ice{\rm{ }}}} = 0.917\;g\;c{m^{ - 3}}\) and \({\rho _w} = 1\;g\;c{m^{ - 3}}\) Let \(V\) be the total volume of the iceberg and \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) be the volume of iceberg submerged in water. Since, iceberg is floating. Weight of iceberg = Weight of water displaced by the immersed part of the icebreg \(\therefore V{\rho _{ice{\rm{ }}}}g = {V_1}{\rho _w}g\) \( \Rightarrow \frac{{{V_1}}}{{\;V}} = \frac{{{\rho _{ice{\rm{ }}}}}}{{{\rho _w}}} = 0.917\)
