General 2D Motion
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PHXI04:MOTION IN A PLANE

361822 Assertion :
Multiplying any vector by any scalar is a meaningful operation.
Reason :
In uniform motion speed remains constant.

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.
PHXI04:MOTION IN A PLANE

361823 A particle moves along the positive branch of the curve \(y = \frac{{{x^2}}}{2}\) where \(x = \frac{{{t^2}}}{2}\), \(x\) and \(y\) are measured in meters and \(t\) in seconds. AT \(t = 2s\), the velocity of the particle is

1 \(2\widehat i - 4\widehat j\;m/s\)
2 \(4\widehat i + 2\widehat j\;m/s\)
3 \(2\widehat i + 4\widehat j\;m/s\)
4 \(4\widehat i - 2\widehat j\;m/s\)
PHXI04:MOTION IN A PLANE

361824 A particle is moving with velocity \(\overrightarrow V = k\left( {y\hat i + x\hat j} \right),\) where \(k\) is a constant. The general equation for its path is

1 \(y = {x^2} + {\rm{constant}}\)
2 \({y^2} = x + {\rm{constant}}\)
3 \(xy = {\rm{constant}}\)
4 \({y^2} = {x^2} + {\rm{constant}}\)
PHXI04:MOTION IN A PLANE

361825 Two particles \(A\) and \(B\) are moving in \(xy\) plane. Particle \(A\) moves along a line with equation \(y = x\) while B moves along \(x\) axis such that their \(x\) coordinates are always equal. If \(B\) moves with a uniform speed 3 \(m\)/\(s\), the speed of \(A\) is :-

1 \(3\,m/s\)
2 \(\frac{1}{3}\,m/s\)
3 \(3\sqrt 2 \,m/s\)
4 \(\frac{3}{{\sqrt 2 }}\,m/s\)
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PHXI04:MOTION IN A PLANE

361822 Assertion :
Multiplying any vector by any scalar is a meaningful operation.
Reason :
In uniform motion speed remains constant.

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.
PHXI04:MOTION IN A PLANE

361823 A particle moves along the positive branch of the curve \(y = \frac{{{x^2}}}{2}\) where \(x = \frac{{{t^2}}}{2}\), \(x\) and \(y\) are measured in meters and \(t\) in seconds. AT \(t = 2s\), the velocity of the particle is

1 \(2\widehat i - 4\widehat j\;m/s\)
2 \(4\widehat i + 2\widehat j\;m/s\)
3 \(2\widehat i + 4\widehat j\;m/s\)
4 \(4\widehat i - 2\widehat j\;m/s\)
PHXI04:MOTION IN A PLANE

361824 A particle is moving with velocity \(\overrightarrow V = k\left( {y\hat i + x\hat j} \right),\) where \(k\) is a constant. The general equation for its path is

1 \(y = {x^2} + {\rm{constant}}\)
2 \({y^2} = x + {\rm{constant}}\)
3 \(xy = {\rm{constant}}\)
4 \({y^2} = {x^2} + {\rm{constant}}\)
PHXI04:MOTION IN A PLANE

361825 Two particles \(A\) and \(B\) are moving in \(xy\) plane. Particle \(A\) moves along a line with equation \(y = x\) while B moves along \(x\) axis such that their \(x\) coordinates are always equal. If \(B\) moves with a uniform speed 3 \(m\)/\(s\), the speed of \(A\) is :-

1 \(3\,m/s\)
2 \(\frac{1}{3}\,m/s\)
3 \(3\sqrt 2 \,m/s\)
4 \(\frac{3}{{\sqrt 2 }}\,m/s\)
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PHXI04:MOTION IN A PLANE

361822 Assertion :
Multiplying any vector by any scalar is a meaningful operation.
Reason :
In uniform motion speed remains constant.

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.
PHXI04:MOTION IN A PLANE

361823 A particle moves along the positive branch of the curve \(y = \frac{{{x^2}}}{2}\) where \(x = \frac{{{t^2}}}{2}\), \(x\) and \(y\) are measured in meters and \(t\) in seconds. AT \(t = 2s\), the velocity of the particle is

1 \(2\widehat i - 4\widehat j\;m/s\)
2 \(4\widehat i + 2\widehat j\;m/s\)
3 \(2\widehat i + 4\widehat j\;m/s\)
4 \(4\widehat i - 2\widehat j\;m/s\)
PHXI04:MOTION IN A PLANE

361824 A particle is moving with velocity \(\overrightarrow V = k\left( {y\hat i + x\hat j} \right),\) where \(k\) is a constant. The general equation for its path is

1 \(y = {x^2} + {\rm{constant}}\)
2 \({y^2} = x + {\rm{constant}}\)
3 \(xy = {\rm{constant}}\)
4 \({y^2} = {x^2} + {\rm{constant}}\)
PHXI04:MOTION IN A PLANE

361825 Two particles \(A\) and \(B\) are moving in \(xy\) plane. Particle \(A\) moves along a line with equation \(y = x\) while B moves along \(x\) axis such that their \(x\) coordinates are always equal. If \(B\) moves with a uniform speed 3 \(m\)/\(s\), the speed of \(A\) is :-

1 \(3\,m/s\)
2 \(\frac{1}{3}\,m/s\)
3 \(3\sqrt 2 \,m/s\)
4 \(\frac{3}{{\sqrt 2 }}\,m/s\)
NEET DIGITAL LIBRARY
PHXI04:MOTION IN A PLANE

361822 Assertion :
Multiplying any vector by any scalar is a meaningful operation.
Reason :
In uniform motion speed remains constant.

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.
PHXI04:MOTION IN A PLANE

361823 A particle moves along the positive branch of the curve \(y = \frac{{{x^2}}}{2}\) where \(x = \frac{{{t^2}}}{2}\), \(x\) and \(y\) are measured in meters and \(t\) in seconds. AT \(t = 2s\), the velocity of the particle is

1 \(2\widehat i - 4\widehat j\;m/s\)
2 \(4\widehat i + 2\widehat j\;m/s\)
3 \(2\widehat i + 4\widehat j\;m/s\)
4 \(4\widehat i - 2\widehat j\;m/s\)
PHXI04:MOTION IN A PLANE

361824 A particle is moving with velocity \(\overrightarrow V = k\left( {y\hat i + x\hat j} \right),\) where \(k\) is a constant. The general equation for its path is

1 \(y = {x^2} + {\rm{constant}}\)
2 \({y^2} = x + {\rm{constant}}\)
3 \(xy = {\rm{constant}}\)
4 \({y^2} = {x^2} + {\rm{constant}}\)
PHXI04:MOTION IN A PLANE

361825 Two particles \(A\) and \(B\) are moving in \(xy\) plane. Particle \(A\) moves along a line with equation \(y = x\) while B moves along \(x\) axis such that their \(x\) coordinates are always equal. If \(B\) moves with a uniform speed 3 \(m\)/\(s\), the speed of \(A\) is :-

1 \(3\,m/s\)
2 \(\frac{1}{3}\,m/s\)
3 \(3\sqrt 2 \,m/s\)
4 \(\frac{3}{{\sqrt 2 }}\,m/s\)
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