NEET Test Series from KOTA - 10 Papers In MS WORD
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LAWS OF MOTION (ADDITIONAL)
372086
Assertion: Mountain roads rarely go straight up the slope. Reason: Slope of mountains are large, therefore more chances of vehicle to slip from roads.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A Therefore, mountain roads rarely go straight up the slope because slope of mountain are large so there are more chances for vehicles to slip from roads.
AIIMS-2016
LAWS OF MOTION (ADDITIONAL)
372087
Assertion: Use of ball bearings between two moving parts of a machine is common particle. Reason: Ball bearings reduce vibrations and provide good stability.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
C Ball bearing are used to reduce friction between moving part of machine. Ball bearing are used to convert sliding friction into rolling friction because rolling friction is much lesser than sliding friction.
AIIMS-2006
LAWS OF MOTION (ADDITIONAL)
372088
Assertion: Angle of repose is equal to the angle of limiting friction. Reason: When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
B The maximum value of static friction which is generated between two surface is known as the limiting friction. Angle of repose is defined as the minimum angle of inclination of a plane with horizontal such that a body on the plane just begin to slide down. In limiting condition, \(\mathrm{F}=\mathrm{mg} \sin \alpha\) and \(\mathrm{R}=\mathrm{mg} \cos \alpha\) Where, \(\alpha\) - angle of repose So, \(\frac{\mathrm{F}}{\mathrm{R}}=\tan \alpha\) \(\therefore \quad \frac{\mathrm{F}}{\mathrm{R}}=\mu_{\mathrm{s}}=\tan \theta=\tan \alpha \quad\left(\because \tan \theta=\mu_{\mathrm{s}}\right)\) or \(\quad \theta=\alpha\) i.e., angle of friction \(=\) angle of repose
AIIMS-2008
LAWS OF MOTION (ADDITIONAL)
372089
A smooth is released at rest on a \(45^{\circ}\) incline and then slides a distance ' \(d\) '. The time taken to slide is ' \(n\) ' times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
B When surface is smooth - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta) \mathrm{t}_{1}^{2}\) When surface is rough - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta) \mathrm{t}_{2}^{2}\) Time taken to the block slide on incline plane - \(\mathrm{t}_{1}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta}}, \quad \mathrm{t}_{2}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta}}\) According to question, \(\mathrm{t}_{2}=\mathrm{nt}_{1}\) \(n \sqrt{\frac{2 d}{g \sin \theta}}=\sqrt{\frac{2 d}{g \sin \theta-\mu g \cos \theta}}\) \(\mu_{\mathrm{k}}\), applicable here, is coefficient of kinetic friction as the block moves over the inclined plane. \(\mathrm{n}=\frac{1}{\sqrt{1-\mu_{\mathrm{k}}}}\) \(\mathrm{n}^{2}=\frac{1}{1-\mu_{\mathrm{k}}} \quad \text { or } \quad 1-\mu_{\mathrm{k}}=\frac{1}{\mathrm{n}^{2}}\) \(\text { or } \mu_{\mathrm{k}}=1-\frac{1}{\mathrm{n}^{2}}\)
372086
Assertion: Mountain roads rarely go straight up the slope. Reason: Slope of mountains are large, therefore more chances of vehicle to slip from roads.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A Therefore, mountain roads rarely go straight up the slope because slope of mountain are large so there are more chances for vehicles to slip from roads.
AIIMS-2016
LAWS OF MOTION (ADDITIONAL)
372087
Assertion: Use of ball bearings between two moving parts of a machine is common particle. Reason: Ball bearings reduce vibrations and provide good stability.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
C Ball bearing are used to reduce friction between moving part of machine. Ball bearing are used to convert sliding friction into rolling friction because rolling friction is much lesser than sliding friction.
AIIMS-2006
LAWS OF MOTION (ADDITIONAL)
372088
Assertion: Angle of repose is equal to the angle of limiting friction. Reason: When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
B The maximum value of static friction which is generated between two surface is known as the limiting friction. Angle of repose is defined as the minimum angle of inclination of a plane with horizontal such that a body on the plane just begin to slide down. In limiting condition, \(\mathrm{F}=\mathrm{mg} \sin \alpha\) and \(\mathrm{R}=\mathrm{mg} \cos \alpha\) Where, \(\alpha\) - angle of repose So, \(\frac{\mathrm{F}}{\mathrm{R}}=\tan \alpha\) \(\therefore \quad \frac{\mathrm{F}}{\mathrm{R}}=\mu_{\mathrm{s}}=\tan \theta=\tan \alpha \quad\left(\because \tan \theta=\mu_{\mathrm{s}}\right)\) or \(\quad \theta=\alpha\) i.e., angle of friction \(=\) angle of repose
AIIMS-2008
LAWS OF MOTION (ADDITIONAL)
372089
A smooth is released at rest on a \(45^{\circ}\) incline and then slides a distance ' \(d\) '. The time taken to slide is ' \(n\) ' times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
B When surface is smooth - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta) \mathrm{t}_{1}^{2}\) When surface is rough - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta) \mathrm{t}_{2}^{2}\) Time taken to the block slide on incline plane - \(\mathrm{t}_{1}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta}}, \quad \mathrm{t}_{2}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta}}\) According to question, \(\mathrm{t}_{2}=\mathrm{nt}_{1}\) \(n \sqrt{\frac{2 d}{g \sin \theta}}=\sqrt{\frac{2 d}{g \sin \theta-\mu g \cos \theta}}\) \(\mu_{\mathrm{k}}\), applicable here, is coefficient of kinetic friction as the block moves over the inclined plane. \(\mathrm{n}=\frac{1}{\sqrt{1-\mu_{\mathrm{k}}}}\) \(\mathrm{n}^{2}=\frac{1}{1-\mu_{\mathrm{k}}} \quad \text { or } \quad 1-\mu_{\mathrm{k}}=\frac{1}{\mathrm{n}^{2}}\) \(\text { or } \mu_{\mathrm{k}}=1-\frac{1}{\mathrm{n}^{2}}\)
372086
Assertion: Mountain roads rarely go straight up the slope. Reason: Slope of mountains are large, therefore more chances of vehicle to slip from roads.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A Therefore, mountain roads rarely go straight up the slope because slope of mountain are large so there are more chances for vehicles to slip from roads.
AIIMS-2016
LAWS OF MOTION (ADDITIONAL)
372087
Assertion: Use of ball bearings between two moving parts of a machine is common particle. Reason: Ball bearings reduce vibrations and provide good stability.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
C Ball bearing are used to reduce friction between moving part of machine. Ball bearing are used to convert sliding friction into rolling friction because rolling friction is much lesser than sliding friction.
AIIMS-2006
LAWS OF MOTION (ADDITIONAL)
372088
Assertion: Angle of repose is equal to the angle of limiting friction. Reason: When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
B The maximum value of static friction which is generated between two surface is known as the limiting friction. Angle of repose is defined as the minimum angle of inclination of a plane with horizontal such that a body on the plane just begin to slide down. In limiting condition, \(\mathrm{F}=\mathrm{mg} \sin \alpha\) and \(\mathrm{R}=\mathrm{mg} \cos \alpha\) Where, \(\alpha\) - angle of repose So, \(\frac{\mathrm{F}}{\mathrm{R}}=\tan \alpha\) \(\therefore \quad \frac{\mathrm{F}}{\mathrm{R}}=\mu_{\mathrm{s}}=\tan \theta=\tan \alpha \quad\left(\because \tan \theta=\mu_{\mathrm{s}}\right)\) or \(\quad \theta=\alpha\) i.e., angle of friction \(=\) angle of repose
AIIMS-2008
LAWS OF MOTION (ADDITIONAL)
372089
A smooth is released at rest on a \(45^{\circ}\) incline and then slides a distance ' \(d\) '. The time taken to slide is ' \(n\) ' times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
B When surface is smooth - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta) \mathrm{t}_{1}^{2}\) When surface is rough - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta) \mathrm{t}_{2}^{2}\) Time taken to the block slide on incline plane - \(\mathrm{t}_{1}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta}}, \quad \mathrm{t}_{2}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta}}\) According to question, \(\mathrm{t}_{2}=\mathrm{nt}_{1}\) \(n \sqrt{\frac{2 d}{g \sin \theta}}=\sqrt{\frac{2 d}{g \sin \theta-\mu g \cos \theta}}\) \(\mu_{\mathrm{k}}\), applicable here, is coefficient of kinetic friction as the block moves over the inclined plane. \(\mathrm{n}=\frac{1}{\sqrt{1-\mu_{\mathrm{k}}}}\) \(\mathrm{n}^{2}=\frac{1}{1-\mu_{\mathrm{k}}} \quad \text { or } \quad 1-\mu_{\mathrm{k}}=\frac{1}{\mathrm{n}^{2}}\) \(\text { or } \mu_{\mathrm{k}}=1-\frac{1}{\mathrm{n}^{2}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
LAWS OF MOTION (ADDITIONAL)
372086
Assertion: Mountain roads rarely go straight up the slope. Reason: Slope of mountains are large, therefore more chances of vehicle to slip from roads.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A Therefore, mountain roads rarely go straight up the slope because slope of mountain are large so there are more chances for vehicles to slip from roads.
AIIMS-2016
LAWS OF MOTION (ADDITIONAL)
372087
Assertion: Use of ball bearings between two moving parts of a machine is common particle. Reason: Ball bearings reduce vibrations and provide good stability.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
C Ball bearing are used to reduce friction between moving part of machine. Ball bearing are used to convert sliding friction into rolling friction because rolling friction is much lesser than sliding friction.
AIIMS-2006
LAWS OF MOTION (ADDITIONAL)
372088
Assertion: Angle of repose is equal to the angle of limiting friction. Reason: When the body is just at the point of motion, the force of friction in this stage is called limiting friction.
1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Explanation:
B The maximum value of static friction which is generated between two surface is known as the limiting friction. Angle of repose is defined as the minimum angle of inclination of a plane with horizontal such that a body on the plane just begin to slide down. In limiting condition, \(\mathrm{F}=\mathrm{mg} \sin \alpha\) and \(\mathrm{R}=\mathrm{mg} \cos \alpha\) Where, \(\alpha\) - angle of repose So, \(\frac{\mathrm{F}}{\mathrm{R}}=\tan \alpha\) \(\therefore \quad \frac{\mathrm{F}}{\mathrm{R}}=\mu_{\mathrm{s}}=\tan \theta=\tan \alpha \quad\left(\because \tan \theta=\mu_{\mathrm{s}}\right)\) or \(\quad \theta=\alpha\) i.e., angle of friction \(=\) angle of repose
AIIMS-2008
LAWS OF MOTION (ADDITIONAL)
372089
A smooth is released at rest on a \(45^{\circ}\) incline and then slides a distance ' \(d\) '. The time taken to slide is ' \(n\) ' times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
B When surface is smooth - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta) \mathrm{t}_{1}^{2}\) When surface is rough - \(\mathrm{d}=\frac{1}{2}(\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta) \mathrm{t}_{2}^{2}\) Time taken to the block slide on incline plane - \(\mathrm{t}_{1}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta}}, \quad \mathrm{t}_{2}=\sqrt{\frac{2 \mathrm{~d}}{\mathrm{~g} \sin \theta-\mu \mathrm{g} \cos \theta}}\) According to question, \(\mathrm{t}_{2}=\mathrm{nt}_{1}\) \(n \sqrt{\frac{2 d}{g \sin \theta}}=\sqrt{\frac{2 d}{g \sin \theta-\mu g \cos \theta}}\) \(\mu_{\mathrm{k}}\), applicable here, is coefficient of kinetic friction as the block moves over the inclined plane. \(\mathrm{n}=\frac{1}{\sqrt{1-\mu_{\mathrm{k}}}}\) \(\mathrm{n}^{2}=\frac{1}{1-\mu_{\mathrm{k}}} \quad \text { or } \quad 1-\mu_{\mathrm{k}}=\frac{1}{\mathrm{n}^{2}}\) \(\text { or } \mu_{\mathrm{k}}=1-\frac{1}{\mathrm{n}^{2}}\)
