04. Motion Under Gravity
Motion in One Dimensions

141877 Assertion : If a body is thrown upwards, the distance covered by it in the last second of upward motion is about \(5 \mathrm{~m}\) irrespective of its initial speed
Reason : The distance covered in the last second of upward motion is equal to that covered in the first second of downward motion when the particle is dropped.

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.
Motion in One Dimensions

141878 Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

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.
Motion in One Dimensions

141879 Assertion: The two bodies of masses \(M\) and \(m\) \((M>m)\) are allowed to fall from the same height. If the air resistance for each be the same then both the bodies will reach the earth simultaneously.
Reason: For same air resistance, acceleration of both the bodies will be same.

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.
Motion in One Dimensions

141881 Two bodies begin a free fall from the same height at a time interval of \(N\) s. If vertical separation between the two bodies is 1 after \(n\) second from the start of the first body, then \(n\) is equal to

1 \(\sqrt{\mathrm{nN}}\)
2 \(\frac{1}{\mathrm{gN}}\)
3 \(\frac{1}{\mathrm{gN}}+\frac{\mathrm{N}}{2}\)
4 \(\frac{1}{\mathrm{gN}}-\frac{\mathrm{N}}{4}\)
Motion in One Dimensions

141877 Assertion : If a body is thrown upwards, the distance covered by it in the last second of upward motion is about \(5 \mathrm{~m}\) irrespective of its initial speed
Reason : The distance covered in the last second of upward motion is equal to that covered in the first second of downward motion when the particle is dropped.

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.
Motion in One Dimensions

141878 Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

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.
Motion in One Dimensions

141879 Assertion: The two bodies of masses \(M\) and \(m\) \((M>m)\) are allowed to fall from the same height. If the air resistance for each be the same then both the bodies will reach the earth simultaneously.
Reason: For same air resistance, acceleration of both the bodies will be same.

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.
Motion in One Dimensions

141881 Two bodies begin a free fall from the same height at a time interval of \(N\) s. If vertical separation between the two bodies is 1 after \(n\) second from the start of the first body, then \(n\) is equal to

1 \(\sqrt{\mathrm{nN}}\)
2 \(\frac{1}{\mathrm{gN}}\)
3 \(\frac{1}{\mathrm{gN}}+\frac{\mathrm{N}}{2}\)
4 \(\frac{1}{\mathrm{gN}}-\frac{\mathrm{N}}{4}\)
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Motion in One Dimensions

141877 Assertion : If a body is thrown upwards, the distance covered by it in the last second of upward motion is about \(5 \mathrm{~m}\) irrespective of its initial speed
Reason : The distance covered in the last second of upward motion is equal to that covered in the first second of downward motion when the particle is dropped.

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.
Motion in One Dimensions

141878 Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

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.
Motion in One Dimensions

141879 Assertion: The two bodies of masses \(M\) and \(m\) \((M>m)\) are allowed to fall from the same height. If the air resistance for each be the same then both the bodies will reach the earth simultaneously.
Reason: For same air resistance, acceleration of both the bodies will be same.

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.
Motion in One Dimensions

141881 Two bodies begin a free fall from the same height at a time interval of \(N\) s. If vertical separation between the two bodies is 1 after \(n\) second from the start of the first body, then \(n\) is equal to

1 \(\sqrt{\mathrm{nN}}\)
2 \(\frac{1}{\mathrm{gN}}\)
3 \(\frac{1}{\mathrm{gN}}+\frac{\mathrm{N}}{2}\)
4 \(\frac{1}{\mathrm{gN}}-\frac{\mathrm{N}}{4}\)
Motion in One Dimensions

141877 Assertion : If a body is thrown upwards, the distance covered by it in the last second of upward motion is about \(5 \mathrm{~m}\) irrespective of its initial speed
Reason : The distance covered in the last second of upward motion is equal to that covered in the first second of downward motion when the particle is dropped.

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.
Motion in One Dimensions

141878 Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.

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.
Motion in One Dimensions

141879 Assertion: The two bodies of masses \(M\) and \(m\) \((M>m)\) are allowed to fall from the same height. If the air resistance for each be the same then both the bodies will reach the earth simultaneously.
Reason: For same air resistance, acceleration of both the bodies will be same.

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.
Motion in One Dimensions

141881 Two bodies begin a free fall from the same height at a time interval of \(N\) s. If vertical separation between the two bodies is 1 after \(n\) second from the start of the first body, then \(n\) is equal to

1 \(\sqrt{\mathrm{nN}}\)
2 \(\frac{1}{\mathrm{gN}}\)
3 \(\frac{1}{\mathrm{gN}}+\frac{\mathrm{N}}{2}\)
4 \(\frac{1}{\mathrm{gN}}-\frac{\mathrm{N}}{4}\)