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Syllabus

Solve this :24. A tall vertical cylinder filled with water is kept on a horizontal table top. Two small holes A and B made on the wall of the cylinder, A near the middle and B just below the free surface of water. State and explain your observation.

Q.14. An aeroplane lands at a speed of 216 $km{h}^{-1}$ and stops after covering a runway of 3 km. Calculate the aceeleration and the time in which it comes to rest. [Ans. 1.2 $m{s}^{-2}$, 50 s]

20. The velocity-time graph of a lift is shown in Fig. 2.36. From the graph, find the acceleration of the lift during

(a) first 4 s.

(b) 4th and 7th seconds

(c) last two seconds.

(a) 10 N

(b) 3 N

(c) 4 N

(d) 2.5 N

Find the distance.

18. Two large conducting plates are placed parallel to each

other with a separation of 2 cm between them. An electron

starting from rest near one of the plates reaches the other

plate in 2 $\mu s$. Find the surface charge density of the plate.

[Ans. 2-52 x 10

^{-13}Cm^{-2}]19. In problem no. 17, if the two conducting plates are replaced

by two sheets of charge ,what will be the charge density of

the sheets of charge ?

[Ans. 5.04 x 10

^{-13}Cm^{-2}] Q.1. Name the different radiations that are emitted from the nucleus of a radioactive substance. Are all the radiations mentioned by you, emitted in a single radioactive decay?

Q. Which of the following pairs of elements is a pair of isobar?

$A.{}_{12}M{g}^{24}and{}_{11}N{a}^{24}\phantom{\rule{0ex}{0ex}}B.{}_{17}C{l}^{37}and{}_{17}C{l}^{35}\phantom{\rule{0ex}{0ex}}C.{}_{92}U^{235}and{}_{92}C{l}^{237}\phantom{\rule{0ex}{0ex}}D.{}_{17}C{l}^{37}and{}_{18}A{r}^{38}$

15. In problem no. 13, if the sheet of charge is replaced by a conducting charged plate, what will be the force of attraction between the particle and the plate. [ Ans. 1-694 N (attractive)]

A)24 ohm

B)100 ohm

C)50 ohm

D)240 ohm

Q.10.(a)(ii) When an alpha particle gains two electrons it becomes neutral and becomes an atom of an element which is a rare gas. What is the name of this rare gas?

(b)(ii) What happens inside the nucleus that causes the emission of beta particle?

(iii) Express the above change in the form of an equation.

Q9. Three vectors $\overrightarrow{\mathrm{A}},\overrightarrow{\mathrm{B}}\mathrm{and}\overrightarrow{\mathrm{C}}$ add up to zero. Find which is false.

(a) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right)\times \overrightarrow{C}$ is not zero unless $\overrightarrow{\mathrm{B}},\overrightarrow{\mathrm{C}}$ are parallel.

(b) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right),\overrightarrow{C}$ is not zero unless $\overrightarrow{\mathrm{B}},\overrightarrow{\mathrm{C}}$ are parallel.

(c) If $\overrightarrow{\mathrm{A}},\overrightarrow{\mathrm{B}},\overrightarrow{C}$ define a plane, $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right)\times \overrightarrow{C}$ is in that plane.

(d) $\left(\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\right).\overrightarrow{C}$ = $\left|\overrightarrow{\mathrm{A}}\right|\left|\overrightarrow{\mathrm{B}}\right|\left|\overrightarrow{\mathrm{C}}\right|\to {\mathrm{C}}^{2}={\mathrm{A}}^{2}+{\mathrm{B}}^{2}$.