360959
A body floats in water with one third of its volume above the surface of water. If it is placed in some oil, it floats with half of its volume above the oil surface. then, specific gravity of the oil is
1 \(\dfrac{3}{2}\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{4}{3}\)
4 1
Explanation:
In first case \(\dfrac{2 V}{3} \rho_{w} g=W\) second case \(\dfrac{V}{2} \rho_{l} g=W\) \(\dfrac{\rho_{l}}{\rho_{w}}=\dfrac{4}{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360960
The thickness of the ice layer on the surface of lake is \(20\;m\). A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice \( = 0.9 \times {10^3}\;kg/{m^3})\)
1 \(2\;m\)
2 \(5\;m\)
3 \(9\;m\)
4 \(18\;m\)
Explanation:
Given that density of ice \(=\dfrac{9}{10} \times\) density of water, so only \(\dfrac{1}{10}\) th of ice will be outside the water. This means that \(20 \times \frac{1}{{10}} = 2\;m\) of ice layer will be above the water surface.
In other words, in the hole, the water level will rise up to \(18\;m\) of the ice layer. So minimum length of rope required \( = 2\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360961
Assertion : To float, a body must displace liquid whose weight is greater than actual weight of the body. Reason : The body will experience no net downward force in that case.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A body must displaces as much amount of liquid greater than the actual weight of the body to float in it. In case of floating, no net downward force acts on the body. So option (2) is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360962
Some pieces of impurity \((\) density \(=\rho)\) is embedded in ice. This ice is floating in water. \(\left(\right.\) density \(\left.=\rho_{\omega}\right)\). When ice melts, level of water will
1 Fall if \(\rho>\rho_{\omega}\)
2 Remain unchanged, if \(\rho>\rho_{\omega}\)
3 Fall if \(\rho < \rho_{\omega}\)
4 Rise if \(\rho>\rho_{\omega}\)
Explanation:
Level will fall if initially the impurity pieces were floating along with ice and later they sink. Level will remain unchanged if initially they were floating and later also they keep floating.
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360959
A body floats in water with one third of its volume above the surface of water. If it is placed in some oil, it floats with half of its volume above the oil surface. then, specific gravity of the oil is
1 \(\dfrac{3}{2}\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{4}{3}\)
4 1
Explanation:
In first case \(\dfrac{2 V}{3} \rho_{w} g=W\) second case \(\dfrac{V}{2} \rho_{l} g=W\) \(\dfrac{\rho_{l}}{\rho_{w}}=\dfrac{4}{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360960
The thickness of the ice layer on the surface of lake is \(20\;m\). A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice \( = 0.9 \times {10^3}\;kg/{m^3})\)
1 \(2\;m\)
2 \(5\;m\)
3 \(9\;m\)
4 \(18\;m\)
Explanation:
Given that density of ice \(=\dfrac{9}{10} \times\) density of water, so only \(\dfrac{1}{10}\) th of ice will be outside the water. This means that \(20 \times \frac{1}{{10}} = 2\;m\) of ice layer will be above the water surface.
In other words, in the hole, the water level will rise up to \(18\;m\) of the ice layer. So minimum length of rope required \( = 2\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360961
Assertion : To float, a body must displace liquid whose weight is greater than actual weight of the body. Reason : The body will experience no net downward force in that case.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A body must displaces as much amount of liquid greater than the actual weight of the body to float in it. In case of floating, no net downward force acts on the body. So option (2) is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360962
Some pieces of impurity \((\) density \(=\rho)\) is embedded in ice. This ice is floating in water. \(\left(\right.\) density \(\left.=\rho_{\omega}\right)\). When ice melts, level of water will
1 Fall if \(\rho>\rho_{\omega}\)
2 Remain unchanged, if \(\rho>\rho_{\omega}\)
3 Fall if \(\rho < \rho_{\omega}\)
4 Rise if \(\rho>\rho_{\omega}\)
Explanation:
Level will fall if initially the impurity pieces were floating along with ice and later they sink. Level will remain unchanged if initially they were floating and later also they keep floating.
360959
A body floats in water with one third of its volume above the surface of water. If it is placed in some oil, it floats with half of its volume above the oil surface. then, specific gravity of the oil is
1 \(\dfrac{3}{2}\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{4}{3}\)
4 1
Explanation:
In first case \(\dfrac{2 V}{3} \rho_{w} g=W\) second case \(\dfrac{V}{2} \rho_{l} g=W\) \(\dfrac{\rho_{l}}{\rho_{w}}=\dfrac{4}{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360960
The thickness of the ice layer on the surface of lake is \(20\;m\). A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice \( = 0.9 \times {10^3}\;kg/{m^3})\)
1 \(2\;m\)
2 \(5\;m\)
3 \(9\;m\)
4 \(18\;m\)
Explanation:
Given that density of ice \(=\dfrac{9}{10} \times\) density of water, so only \(\dfrac{1}{10}\) th of ice will be outside the water. This means that \(20 \times \frac{1}{{10}} = 2\;m\) of ice layer will be above the water surface.
In other words, in the hole, the water level will rise up to \(18\;m\) of the ice layer. So minimum length of rope required \( = 2\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360961
Assertion : To float, a body must displace liquid whose weight is greater than actual weight of the body. Reason : The body will experience no net downward force in that case.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A body must displaces as much amount of liquid greater than the actual weight of the body to float in it. In case of floating, no net downward force acts on the body. So option (2) is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360962
Some pieces of impurity \((\) density \(=\rho)\) is embedded in ice. This ice is floating in water. \(\left(\right.\) density \(\left.=\rho_{\omega}\right)\). When ice melts, level of water will
1 Fall if \(\rho>\rho_{\omega}\)
2 Remain unchanged, if \(\rho>\rho_{\omega}\)
3 Fall if \(\rho < \rho_{\omega}\)
4 Rise if \(\rho>\rho_{\omega}\)
Explanation:
Level will fall if initially the impurity pieces were floating along with ice and later they sink. Level will remain unchanged if initially they were floating and later also they keep floating.
360959
A body floats in water with one third of its volume above the surface of water. If it is placed in some oil, it floats with half of its volume above the oil surface. then, specific gravity of the oil is
1 \(\dfrac{3}{2}\)
2 \(\dfrac{3}{4}\)
3 \(\dfrac{4}{3}\)
4 1
Explanation:
In first case \(\dfrac{2 V}{3} \rho_{w} g=W\) second case \(\dfrac{V}{2} \rho_{l} g=W\) \(\dfrac{\rho_{l}}{\rho_{w}}=\dfrac{4}{3}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360960
The thickness of the ice layer on the surface of lake is \(20\;m\). A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice \( = 0.9 \times {10^3}\;kg/{m^3})\)
1 \(2\;m\)
2 \(5\;m\)
3 \(9\;m\)
4 \(18\;m\)
Explanation:
Given that density of ice \(=\dfrac{9}{10} \times\) density of water, so only \(\dfrac{1}{10}\) th of ice will be outside the water. This means that \(20 \times \frac{1}{{10}} = 2\;m\) of ice layer will be above the water surface.
In other words, in the hole, the water level will rise up to \(18\;m\) of the ice layer. So minimum length of rope required \( = 2\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360961
Assertion : To float, a body must displace liquid whose weight is greater than actual weight of the body. Reason : The body will experience no net downward force in that case.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
A body must displaces as much amount of liquid greater than the actual weight of the body to float in it. In case of floating, no net downward force acts on the body. So option (2) is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS
360962
Some pieces of impurity \((\) density \(=\rho)\) is embedded in ice. This ice is floating in water. \(\left(\right.\) density \(\left.=\rho_{\omega}\right)\). When ice melts, level of water will
1 Fall if \(\rho>\rho_{\omega}\)
2 Remain unchanged, if \(\rho>\rho_{\omega}\)
3 Fall if \(\rho < \rho_{\omega}\)
4 Rise if \(\rho>\rho_{\omega}\)
Explanation:
Level will fall if initially the impurity pieces were floating along with ice and later they sink. Level will remain unchanged if initially they were floating and later also they keep floating.
