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Q. No.A new unit (\(a\)) length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of a units if light takes \(6\) min. \(40~\text{s}\) to cover this distance?
1. \(200~a\)
2. \(400~a\)
3. \(300~a\)
4. \(500~a\)
1. \(200~a\)
2. \(400~a\)
3. \(300~a\)
4. \(500~a\)
Subtopic: Distance & Displacement |
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Level 1: 80%+
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A sportsman runs around a circular track of radius \(r \) such that he traverses the path \(AB. \) The distance travelled and displacement, respectively, are:
1. \(3\pi r,\pi r \)
2. \(2 r,3\pi r \)
3. \(\pi r,3 r \)
4. \(3\pi r,2 r \)
1. \(3\pi r,\pi r \)
2. \(2 r,3\pi r \)
3. \(\pi r,3 r \)
4. \(3\pi r,2 r \)
Subtopic: Distance & Displacement |
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Level 1: 80%+
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A particle has uniform acceleration. If its displacement from \(t\) to \(t+1\) second is \(120~\text m\) and its change in velocity during this interval is \(50 ~\text{m/s},\) then its displacement from \(t+1\) to \(t+2\) second is:
1. \(100~\text m\)
2. \(120~\text m\)
3. \(140~\text m\)
4. \(170~\text m\)
Subtopic: Distance & Displacement |
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Level 3: 35%-60%
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A balloon was moving upwards with a uniform velocity of \(10~\text{m/s.}\) An object of finite mass is dropped from the balloon when it was at a height of \(75 ~\text{m}\) from the ground level. The height of the balloon from the ground when the object strikes the ground will be:
(takes the value of \(g\) as \(\mathrm{10 m /s^2}\))
1. \(250~\text{m}\)
2. \(300~\text{m}\)
3. \(200~\text{m}\)
4. \(125~\text{m}\)
(takes the value of \(g\) as \(\mathrm{10 m /s^2}\))
1. \(250~\text{m}\)
2. \(300~\text{m}\)
3. \(200~\text{m}\)
4. \(125~\text{m}\)
Subtopic: Distance & Displacement |
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Level 1: 80%+
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Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at \(4^\text{th}\) second after its fall to the next droplet is \(34.3~\text{m.}\) At what rate the droplets are coming from the tap?
(Take \(g = 9.8~\text{m/s}^2\))
1. \(1\) drop /\(7\) seconds
2. \(3\) drops /\(2\) seconds
3. \(1\) drop / second
4. \(2\) drops / second
(Take \(g = 9.8~\text{m/s}^2\))
1. \(1\) drop /\(7\) seconds
2. \(3\) drops /\(2\) seconds
3. \(1\) drop / second
4. \(2\) drops / second
Subtopic: Distance & Displacement |
Level 3: 35%-60%
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A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time \({t}_1 .\) If he remains stationary on a moving escalator then the escalator takes him up in time \({t}_2 .\) The time taken by him to walk up on the moving escalator will be:
1. \(\dfrac{t_1 t_2}{t_2+t_1}\)
2. \({t}_2\text-{t}_1\)
3. \(\dfrac{t_1+t_2}{2}\)
4. \(\dfrac{t_1 t_2}{t_2-t_1}\)
1. \(\dfrac{t_1 t_2}{t_2+t_1}\)
2. \({t}_2\text-{t}_1\)
3. \(\dfrac{t_1+t_2}{2}\)
4. \(\dfrac{t_1 t_2}{t_2-t_1}\)
Subtopic: Distance & Displacement |
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The velocity–time \((v \text-t)\) graph of a body moving along a straight line is shown in the figure.
The ratio of displacement to distance travelled by the body in time \(0~\text s\) to \(10~\text s\) is:
1. \(1 : 1\)
2. \(1 : 4\)
3. \(1 : 3\)
4. \(1 : 2\)
The ratio of displacement to distance travelled by the body in time \(0~\text s\) to \(10~\text s\) is:
1. \(1 : 1\)
2. \(1 : 4\)
3. \(1 : 3\)
4. \(1 : 2\)
Subtopic: Distance & Displacement |
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A butterfly is flying with a velocity \(4\sqrt2~\text{m/s}\) in a North-East direction. The wind is slowly blowing at \(1~\text{m/s}\) from North to South. The resultant displacement of the butterfly in \(3\) seconds is:
1. \(15~\text{m}\)
2. \(20~\text{m}\)
3. \(3~\text{m}\)
4. \(12\sqrt2~\text{m}\)
1. \(15~\text{m}\)
2. \(20~\text{m}\)
3. \(3~\text{m}\)
4. \(12\sqrt2~\text{m}\)
Subtopic: Distance & Displacement |
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Water drops are falling from the nozzle of a shower onto the floor, from a height of \(9.8~\text{m.}\) The drops fall at regular intervals of time. When the first drop strikes the floor, at that instant, the third drop begins to fall. Then the position of the second drop from the floor when the first drop strikes the floor is:
1. \(4.18~ \text{m}\)
2. \(2.94~ \text{m}\)
3. \(2.45~ \text{m}\)
4. \(7.35~ \text{m}\)
1. \(4.18~ \text{m}\)
2. \(2.94~ \text{m}\)
3. \(2.45~ \text{m}\)
4. \(7.35~ \text{m}\)
Subtopic: Distance & Displacement |
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The velocity of a particle is \(v=v_0+g t+{Ft}^2.\) Its position is \(x = 0\) at \(t = 0,\) then its displacement after time \((t = 1)\) is:
| 1. | \(v_0+\dfrac{g}{2}+\dfrac{F}{3}\) | 2. | \(v_0+\dfrac{g}{2}+F\) |
| 3. | \(v_0+2 g+3 F\) | 4. | \(v_0+g+F\) |
Subtopic: Distance & Displacement |
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