NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXI03:MOTION IN A STRAIGHT LINE
362189
Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason : Velocity is a vector quantity and speed is a scalar quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
As displacement is either smaller or equal to distance but never be greater than distance. Velocity is a vector and speed is a scalar. So option (2) is correct.
PHXI03:MOTION IN A STRAIGHT LINE
362190
A particle is projected vertically upward with velocity \(u\) from a point \(A\), when it returns to the point of projection
1 Its average speed is \(u/2\)
2 Average velocity is \(u\)
3 Distance covered is zero
4 Its average speed is \(u\)
Explanation:
The average speed \( = \frac{{2H}}{T} = \frac{{{\rm{Total}}{\kern 1pt} {\kern 1pt} {\rm{distance}}}}{{{\rm{Time}}{\kern 1pt} {\kern 1pt} {\rm{of}}{\kern 1pt} {\kern 1pt} {\rm{flight}}}}\) \(H = \frac{{{u^2}}}{{2g}}\) (maximum height reached by the body) \(T = \frac{{2u}}{g}\) (Time of flight) \({\rm{Average}}\,{\rm{speed}} = \frac{{2 \cdot \frac{{{u^2}}}{{2g}}}}{{\left( {\frac{{2u}}{g}} \right)}} = \frac{u}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE
362191
A particle having time period (in its circular motion) \(\pi s,\) completes half revolution. Its mean speed is [given Radius of circle\( = 100\,cm\)]
1 \(2.6\,m/s\)
2 \(1.5\,m/s\)
3 \(2.0\,m/s\)
4 \(0.7\,m/s\)
Explanation:
The average or Mean speed is \(\langle v\rangle = \frac{{\pi R}}{T/2}\) = \(\frac{{\pi \times 1}}{\pi/2}\) = \(2.0 \,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE
362192
Velocity of a body is given in the graph. Find the average speed and average velocity of the body from \(t = 0 \,s\) to \(12 \,s\)
362189
Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason : Velocity is a vector quantity and speed is a scalar quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
As displacement is either smaller or equal to distance but never be greater than distance. Velocity is a vector and speed is a scalar. So option (2) is correct.
PHXI03:MOTION IN A STRAIGHT LINE
362190
A particle is projected vertically upward with velocity \(u\) from a point \(A\), when it returns to the point of projection
1 Its average speed is \(u/2\)
2 Average velocity is \(u\)
3 Distance covered is zero
4 Its average speed is \(u\)
Explanation:
The average speed \( = \frac{{2H}}{T} = \frac{{{\rm{Total}}{\kern 1pt} {\kern 1pt} {\rm{distance}}}}{{{\rm{Time}}{\kern 1pt} {\kern 1pt} {\rm{of}}{\kern 1pt} {\kern 1pt} {\rm{flight}}}}\) \(H = \frac{{{u^2}}}{{2g}}\) (maximum height reached by the body) \(T = \frac{{2u}}{g}\) (Time of flight) \({\rm{Average}}\,{\rm{speed}} = \frac{{2 \cdot \frac{{{u^2}}}{{2g}}}}{{\left( {\frac{{2u}}{g}} \right)}} = \frac{u}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE
362191
A particle having time period (in its circular motion) \(\pi s,\) completes half revolution. Its mean speed is [given Radius of circle\( = 100\,cm\)]
1 \(2.6\,m/s\)
2 \(1.5\,m/s\)
3 \(2.0\,m/s\)
4 \(0.7\,m/s\)
Explanation:
The average or Mean speed is \(\langle v\rangle = \frac{{\pi R}}{T/2}\) = \(\frac{{\pi \times 1}}{\pi/2}\) = \(2.0 \,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE
362192
Velocity of a body is given in the graph. Find the average speed and average velocity of the body from \(t = 0 \,s\) to \(12 \,s\)
362189
Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason : Velocity is a vector quantity and speed is a scalar quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
As displacement is either smaller or equal to distance but never be greater than distance. Velocity is a vector and speed is a scalar. So option (2) is correct.
PHXI03:MOTION IN A STRAIGHT LINE
362190
A particle is projected vertically upward with velocity \(u\) from a point \(A\), when it returns to the point of projection
1 Its average speed is \(u/2\)
2 Average velocity is \(u\)
3 Distance covered is zero
4 Its average speed is \(u\)
Explanation:
The average speed \( = \frac{{2H}}{T} = \frac{{{\rm{Total}}{\kern 1pt} {\kern 1pt} {\rm{distance}}}}{{{\rm{Time}}{\kern 1pt} {\kern 1pt} {\rm{of}}{\kern 1pt} {\kern 1pt} {\rm{flight}}}}\) \(H = \frac{{{u^2}}}{{2g}}\) (maximum height reached by the body) \(T = \frac{{2u}}{g}\) (Time of flight) \({\rm{Average}}\,{\rm{speed}} = \frac{{2 \cdot \frac{{{u^2}}}{{2g}}}}{{\left( {\frac{{2u}}{g}} \right)}} = \frac{u}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE
362191
A particle having time period (in its circular motion) \(\pi s,\) completes half revolution. Its mean speed is [given Radius of circle\( = 100\,cm\)]
1 \(2.6\,m/s\)
2 \(1.5\,m/s\)
3 \(2.0\,m/s\)
4 \(0.7\,m/s\)
Explanation:
The average or Mean speed is \(\langle v\rangle = \frac{{\pi R}}{T/2}\) = \(\frac{{\pi \times 1}}{\pi/2}\) = \(2.0 \,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE
362192
Velocity of a body is given in the graph. Find the average speed and average velocity of the body from \(t = 0 \,s\) to \(12 \,s\)
362189
Assertion : The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval. Reason : Velocity is a vector quantity and speed is a scalar quantity.
1 Both assertion and reason are correct and reason is the correct explanation of assertion
2 Both assertion and reason are correct but reason is not the correct explanation of assertion
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
As displacement is either smaller or equal to distance but never be greater than distance. Velocity is a vector and speed is a scalar. So option (2) is correct.
PHXI03:MOTION IN A STRAIGHT LINE
362190
A particle is projected vertically upward with velocity \(u\) from a point \(A\), when it returns to the point of projection
1 Its average speed is \(u/2\)
2 Average velocity is \(u\)
3 Distance covered is zero
4 Its average speed is \(u\)
Explanation:
The average speed \( = \frac{{2H}}{T} = \frac{{{\rm{Total}}{\kern 1pt} {\kern 1pt} {\rm{distance}}}}{{{\rm{Time}}{\kern 1pt} {\kern 1pt} {\rm{of}}{\kern 1pt} {\kern 1pt} {\rm{flight}}}}\) \(H = \frac{{{u^2}}}{{2g}}\) (maximum height reached by the body) \(T = \frac{{2u}}{g}\) (Time of flight) \({\rm{Average}}\,{\rm{speed}} = \frac{{2 \cdot \frac{{{u^2}}}{{2g}}}}{{\left( {\frac{{2u}}{g}} \right)}} = \frac{u}{2}\)
PHXI03:MOTION IN A STRAIGHT LINE
362191
A particle having time period (in its circular motion) \(\pi s,\) completes half revolution. Its mean speed is [given Radius of circle\( = 100\,cm\)]
1 \(2.6\,m/s\)
2 \(1.5\,m/s\)
3 \(2.0\,m/s\)
4 \(0.7\,m/s\)
Explanation:
The average or Mean speed is \(\langle v\rangle = \frac{{\pi R}}{T/2}\) = \(\frac{{\pi \times 1}}{\pi/2}\) = \(2.0 \,m/s\)
PHXI03:MOTION IN A STRAIGHT LINE
362192
Velocity of a body is given in the graph. Find the average speed and average velocity of the body from \(t = 0 \,s\) to \(12 \,s\)
