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Q. No.\(x\) and \(y\) displacements of a particle are given as \({x(t)} =\text{a}\sin\omega {t}\) and \({y(t)}={a}\sin 2\omega {t}.\) Its trajectory will look like:
| 1. |  |
3. |  |
| 2. |  |
4. |  |
Subtopic: Types of Motion |
From NCERT
JEE
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The relation between velocity (\(v\)) and position (\(x\)) of a particle moving along the x-axis is given by \(4 v^2=50-x^2\). The time period of oscillatory motion of the particle is: (Use \(\pi\) = \({{22}\over{7}}\))
1. \(\frac{88}{9}\) s
2. \(\frac{88}{7}\) s
3. \(\frac{77}{9}\) s
4. \(\frac{77}{8}\) s
1. \(\frac{88}{9}\) s
2. \(\frac{88}{7}\) s
3. \(\frac{77}{9}\) s
4. \(\frac{77}{8}\) s
Subtopic: Types of Motion |
75%
JEE
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| Assertion (A): | The angular velocity of the moon revolving about the earth is more than the angular velocity of the earth revolving around the sun. |
| Reason (R): | The time taken by the moon to revolve around the earth is less than the time taken by the earth to revolve around the sun. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Types of Motion |
From NCERT
JEE
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