355697
Mass \(m\) is released from point \(A\) as shown in figure then tension in the string at the point \(B\) will be
1 2 \(mg\)
2 \(mg\)
3 4 \(mg\)
4 3 \(mg\)
Explanation:
The velocity of the mass at point \(B\) is \(v_{B}=\sqrt{2 g l}\) \(T_{B}=m g+\dfrac{m v_{B}^{2}}{l}=3 m g\)
PHXI06:WORK ENERGY AND POWER
355698
A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the top point of circle/loop:
1 \(3\,g\)
2 \(g\)
3 \(5\,g\)
4 \(6\,g\)
Explanation:
At the highest position \(v=\sqrt{g R}\) Centripetal acceleration \(a_{c}=\dfrac{v^{2}}{R}=\dfrac{(\sqrt{g R})^{2}}{R}=g\)
PHXI06:WORK ENERGY AND POWER
355699
To complete the circular loop what should be the radius if initial height is \(10 \mathrm{~m}\) ?
1 \(2\;m\)
2 \(3\;m\)
3 \(4\;m\)
4 \(5\;m\)
Explanation:
For such condition \(h=\dfrac{5}{2} R\)
\(\therefore R = \frac{2}{5}h\;\;\;{\mkern 1mu} {\kern 1pt} R = 4\,m\)
PHXI06:WORK ENERGY AND POWER
355700
Assertion : For looping a vertical loop of radius, \(r\) the minimum velocity at lowest point should be \(\sqrt{5 g r}\). Reason : In this event, the velocity at the highest point will be zero.
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:
At the lowest piont of a vertical circle, the minimum velocity at bottom \(v_{\min }=\sqrt{5 g r}\) Velocity at highest point \((v)=\sqrt{g r}\) So, Assertion is correct but Reason is incorrect
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER
355701
A block of mass \({m}\) is pressed against a spring and released, as shown in the figure. What is the minimum compression in spring for which normal reaction of the block and velocity of the block, simultaneously, become zero in subsequent motion on loop?
1 \({\sqrt{\dfrac{5 m g R}{k}}}\)
2 \({\sqrt{\dfrac{4 m g R}{k}}}\)
3 \({\sqrt{\dfrac{2 m g R}{k}}}\)
4 \({\sqrt{\dfrac{m g R}{k}}}\)
Explanation:
Velocity becomes zero when height attained by block is maximum, and the spring force is stored as potential energy. \(\dfrac{1}{2} k x^{2}=m g R \Rightarrow x=\sqrt{\dfrac{2 m g R}{k}}\)
355697
Mass \(m\) is released from point \(A\) as shown in figure then tension in the string at the point \(B\) will be
1 2 \(mg\)
2 \(mg\)
3 4 \(mg\)
4 3 \(mg\)
Explanation:
The velocity of the mass at point \(B\) is \(v_{B}=\sqrt{2 g l}\) \(T_{B}=m g+\dfrac{m v_{B}^{2}}{l}=3 m g\)
PHXI06:WORK ENERGY AND POWER
355698
A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the top point of circle/loop:
1 \(3\,g\)
2 \(g\)
3 \(5\,g\)
4 \(6\,g\)
Explanation:
At the highest position \(v=\sqrt{g R}\) Centripetal acceleration \(a_{c}=\dfrac{v^{2}}{R}=\dfrac{(\sqrt{g R})^{2}}{R}=g\)
PHXI06:WORK ENERGY AND POWER
355699
To complete the circular loop what should be the radius if initial height is \(10 \mathrm{~m}\) ?
1 \(2\;m\)
2 \(3\;m\)
3 \(4\;m\)
4 \(5\;m\)
Explanation:
For such condition \(h=\dfrac{5}{2} R\)
\(\therefore R = \frac{2}{5}h\;\;\;{\mkern 1mu} {\kern 1pt} R = 4\,m\)
PHXI06:WORK ENERGY AND POWER
355700
Assertion : For looping a vertical loop of radius, \(r\) the minimum velocity at lowest point should be \(\sqrt{5 g r}\). Reason : In this event, the velocity at the highest point will be zero.
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:
At the lowest piont of a vertical circle, the minimum velocity at bottom \(v_{\min }=\sqrt{5 g r}\) Velocity at highest point \((v)=\sqrt{g r}\) So, Assertion is correct but Reason is incorrect
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER
355701
A block of mass \({m}\) is pressed against a spring and released, as shown in the figure. What is the minimum compression in spring for which normal reaction of the block and velocity of the block, simultaneously, become zero in subsequent motion on loop?
1 \({\sqrt{\dfrac{5 m g R}{k}}}\)
2 \({\sqrt{\dfrac{4 m g R}{k}}}\)
3 \({\sqrt{\dfrac{2 m g R}{k}}}\)
4 \({\sqrt{\dfrac{m g R}{k}}}\)
Explanation:
Velocity becomes zero when height attained by block is maximum, and the spring force is stored as potential energy. \(\dfrac{1}{2} k x^{2}=m g R \Rightarrow x=\sqrt{\dfrac{2 m g R}{k}}\)
355697
Mass \(m\) is released from point \(A\) as shown in figure then tension in the string at the point \(B\) will be
1 2 \(mg\)
2 \(mg\)
3 4 \(mg\)
4 3 \(mg\)
Explanation:
The velocity of the mass at point \(B\) is \(v_{B}=\sqrt{2 g l}\) \(T_{B}=m g+\dfrac{m v_{B}^{2}}{l}=3 m g\)
PHXI06:WORK ENERGY AND POWER
355698
A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the top point of circle/loop:
1 \(3\,g\)
2 \(g\)
3 \(5\,g\)
4 \(6\,g\)
Explanation:
At the highest position \(v=\sqrt{g R}\) Centripetal acceleration \(a_{c}=\dfrac{v^{2}}{R}=\dfrac{(\sqrt{g R})^{2}}{R}=g\)
PHXI06:WORK ENERGY AND POWER
355699
To complete the circular loop what should be the radius if initial height is \(10 \mathrm{~m}\) ?
1 \(2\;m\)
2 \(3\;m\)
3 \(4\;m\)
4 \(5\;m\)
Explanation:
For such condition \(h=\dfrac{5}{2} R\)
\(\therefore R = \frac{2}{5}h\;\;\;{\mkern 1mu} {\kern 1pt} R = 4\,m\)
PHXI06:WORK ENERGY AND POWER
355700
Assertion : For looping a vertical loop of radius, \(r\) the minimum velocity at lowest point should be \(\sqrt{5 g r}\). Reason : In this event, the velocity at the highest point will be zero.
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:
At the lowest piont of a vertical circle, the minimum velocity at bottom \(v_{\min }=\sqrt{5 g r}\) Velocity at highest point \((v)=\sqrt{g r}\) So, Assertion is correct but Reason is incorrect
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER
355701
A block of mass \({m}\) is pressed against a spring and released, as shown in the figure. What is the minimum compression in spring for which normal reaction of the block and velocity of the block, simultaneously, become zero in subsequent motion on loop?
1 \({\sqrt{\dfrac{5 m g R}{k}}}\)
2 \({\sqrt{\dfrac{4 m g R}{k}}}\)
3 \({\sqrt{\dfrac{2 m g R}{k}}}\)
4 \({\sqrt{\dfrac{m g R}{k}}}\)
Explanation:
Velocity becomes zero when height attained by block is maximum, and the spring force is stored as potential energy. \(\dfrac{1}{2} k x^{2}=m g R \Rightarrow x=\sqrt{\dfrac{2 m g R}{k}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI06:WORK ENERGY AND POWER
355697
Mass \(m\) is released from point \(A\) as shown in figure then tension in the string at the point \(B\) will be
1 2 \(mg\)
2 \(mg\)
3 4 \(mg\)
4 3 \(mg\)
Explanation:
The velocity of the mass at point \(B\) is \(v_{B}=\sqrt{2 g l}\) \(T_{B}=m g+\dfrac{m v_{B}^{2}}{l}=3 m g\)
PHXI06:WORK ENERGY AND POWER
355698
A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the top point of circle/loop:
1 \(3\,g\)
2 \(g\)
3 \(5\,g\)
4 \(6\,g\)
Explanation:
At the highest position \(v=\sqrt{g R}\) Centripetal acceleration \(a_{c}=\dfrac{v^{2}}{R}=\dfrac{(\sqrt{g R})^{2}}{R}=g\)
PHXI06:WORK ENERGY AND POWER
355699
To complete the circular loop what should be the radius if initial height is \(10 \mathrm{~m}\) ?
1 \(2\;m\)
2 \(3\;m\)
3 \(4\;m\)
4 \(5\;m\)
Explanation:
For such condition \(h=\dfrac{5}{2} R\)
\(\therefore R = \frac{2}{5}h\;\;\;{\mkern 1mu} {\kern 1pt} R = 4\,m\)
PHXI06:WORK ENERGY AND POWER
355700
Assertion : For looping a vertical loop of radius, \(r\) the minimum velocity at lowest point should be \(\sqrt{5 g r}\). Reason : In this event, the velocity at the highest point will be zero.
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:
At the lowest piont of a vertical circle, the minimum velocity at bottom \(v_{\min }=\sqrt{5 g r}\) Velocity at highest point \((v)=\sqrt{g r}\) So, Assertion is correct but Reason is incorrect
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER
355701
A block of mass \({m}\) is pressed against a spring and released, as shown in the figure. What is the minimum compression in spring for which normal reaction of the block and velocity of the block, simultaneously, become zero in subsequent motion on loop?
1 \({\sqrt{\dfrac{5 m g R}{k}}}\)
2 \({\sqrt{\dfrac{4 m g R}{k}}}\)
3 \({\sqrt{\dfrac{2 m g R}{k}}}\)
4 \({\sqrt{\dfrac{m g R}{k}}}\)
Explanation:
Velocity becomes zero when height attained by block is maximum, and the spring force is stored as potential energy. \(\dfrac{1}{2} k x^{2}=m g R \Rightarrow x=\sqrt{\dfrac{2 m g R}{k}}\)
355697
Mass \(m\) is released from point \(A\) as shown in figure then tension in the string at the point \(B\) will be
1 2 \(mg\)
2 \(mg\)
3 4 \(mg\)
4 3 \(mg\)
Explanation:
The velocity of the mass at point \(B\) is \(v_{B}=\sqrt{2 g l}\) \(T_{B}=m g+\dfrac{m v_{B}^{2}}{l}=3 m g\)
PHXI06:WORK ENERGY AND POWER
355698
A body crosses the top most point of a vertical circle with critical speed. Its centripetal acceleration, when the string at the top point of circle/loop:
1 \(3\,g\)
2 \(g\)
3 \(5\,g\)
4 \(6\,g\)
Explanation:
At the highest position \(v=\sqrt{g R}\) Centripetal acceleration \(a_{c}=\dfrac{v^{2}}{R}=\dfrac{(\sqrt{g R})^{2}}{R}=g\)
PHXI06:WORK ENERGY AND POWER
355699
To complete the circular loop what should be the radius if initial height is \(10 \mathrm{~m}\) ?
1 \(2\;m\)
2 \(3\;m\)
3 \(4\;m\)
4 \(5\;m\)
Explanation:
For such condition \(h=\dfrac{5}{2} R\)
\(\therefore R = \frac{2}{5}h\;\;\;{\mkern 1mu} {\kern 1pt} R = 4\,m\)
PHXI06:WORK ENERGY AND POWER
355700
Assertion : For looping a vertical loop of radius, \(r\) the minimum velocity at lowest point should be \(\sqrt{5 g r}\). Reason : In this event, the velocity at the highest point will be zero.
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:
At the lowest piont of a vertical circle, the minimum velocity at bottom \(v_{\min }=\sqrt{5 g r}\) Velocity at highest point \((v)=\sqrt{g r}\) So, Assertion is correct but Reason is incorrect
AIIMS - 2017
PHXI06:WORK ENERGY AND POWER
355701
A block of mass \({m}\) is pressed against a spring and released, as shown in the figure. What is the minimum compression in spring for which normal reaction of the block and velocity of the block, simultaneously, become zero in subsequent motion on loop?
1 \({\sqrt{\dfrac{5 m g R}{k}}}\)
2 \({\sqrt{\dfrac{4 m g R}{k}}}\)
3 \({\sqrt{\dfrac{2 m g R}{k}}}\)
4 \({\sqrt{\dfrac{m g R}{k}}}\)
Explanation:
Velocity becomes zero when height attained by block is maximum, and the spring force is stored as potential energy. \(\dfrac{1}{2} k x^{2}=m g R \Rightarrow x=\sqrt{\dfrac{2 m g R}{k}}\)
