Q. No.| \((\mathrm{A})\) |  |
\((\mathrm{B})\) |  |
| \((\mathrm{C})\) |  |
\((\mathrm{D})\) |  |
| \((\mathrm{E})\) |  |
||
1. \((\mathrm{C})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{B})\) only
\((\mathrm{A})\) Person \(A\) has reaction time of \(0.20\) s.
\((\mathrm{B})\) Person \(B\) has reaction time of \(0.22\) s.
\((\mathrm{C})\) Person \(C\) has reaction time of \(0.18\) s.
\((\mathrm{A})\) Person \(D\) has reaction time of \(0.19\) s.
\((\mathrm{D})\) Person \(E\) has reaction time of \(0.21\) s.
What is the correct order of the distance travelled by the ruler for each person?
1. \(C>D>A>B>E\)
2. \(C>D>A>E>B\)
3. \(B>E>A>C>D\)
4. \(B>E>A>D>C\)
| 1. | \(5~\text{m}\) | 2. | \(25~\text{m}\) |
| 3. | \(45~\text{m}\) | 4. | \(58~\text{m}\) |
(Take \(g=10~ \text {ms}^{-2}\) )
| 1. | \(68\) m | 2. | \(56\) m |
| 3. | \(60\) m | 4. | \(64\) m |
| 1. | \(1:1:1:1\) | 2. | \(1:2:3:4\) |
| 3. | \(1:4:9:16\) | 4. | \(1:3:5:7\) |
A stone is thrown vertically downwards with an initial velocity of \(40\text{ m/s}\) from the top of a building. If it reaches the ground with a velocity of \(60\text{ m/s}, \) then the height of the building is: (take \(g=10\text{ m/s}^2\))
| 1. | \(120\text{ m}\) | 2. | \(140\text{ m}\) |
| 3. | \(80\text{ m}\) | 4. | \(100\text{ m}\) |
A small block slides down on a smooth inclined plane starting from rest at time \(t=0.\) Let \(S_n\) be the distance traveled by the block in the interval \(t=n-1\) to \(t=n.\) Then the ratio \(\dfrac{S_n}{S_{n +1}}\) is:
| 1. | \(\dfrac{2n+1}{2n-1}\) | 2. | \(\dfrac{2n}{2n-1}\) |
| 3. | \(\dfrac{2n-1}{2n}\) | 4. | \(\dfrac{2n-1}{2n+1}\) |
A ball is thrown vertically downwards with a velocity of \(20\) m/s from the top of a tower. It hits the ground after some time with the velocity of \(80\) m/s . The height of the tower is: (assuming \(g = 10~\text{m/s}^2)\)
| 1. | \(340\) m | 2. | \(320\) m |
| 3. | \(300\) m | 4. | \(360\) m |
A person sitting on the ground floor of a building notices through the window, of height \(1.5~\text{m}\), a ball dropped from the roof of the building crosses the window in \(0.1~\text{s}\). What is the velocity of the ball when it is at the topmost point of the window? \(\left(g = 10~\text{m/s}^2\right )\)
| 1. | \(15.5~\text{m/s}\) | 2. | \(14.5~\text{m/s}\) |
| 3. | \(4.5~\text{m/s}\) | 4. | \(20~\text{m/s}\) |
A stone falls freely under gravity. It covers distances \(h_1,~h_2\) and \(h_3\) in the first \(5\) seconds, the next \(5\) seconds and the next \(5\) seconds respectively. The relation between \(h_1,~h_2\) and \(h_3\) is:
| 1. | \(h_1=\frac{h_2}{3}=\frac{h_3}{5}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \) |
| 2. | \(h_2=3h_1\) and \(h_3=3h_2\) |
| 3. | \(h_1=h_2=h_3\) |
| 4. | \(h_1=2h_2=3h_3\) |
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