1. A vector magnitude a is rotated through an angle θ. What is the magnitude of the change in the vector ?

2. A car of mass 10 quintal moves in a horizontal circular path of radius 75 m. At an instant ,its speed is 54 km/hr and is increasing at a rate of 4 m/sec² . Then the acceleration of the car is ..

3. A body of mass m resting on a smooth horizontal plane starts moving under a constant force F. During its rectilinear motion, the angle θ between the direction of force and horizontal plane varies as θ=kx , where k is a constant and x is the distance travelled by the body from the initial position. What is velocity of the body..

4. The velocity of a particle at which the kinetic energy is equal to its rest energy is

5. For given square lamina ABCD, Whose centre is o, correct option is

1) I_{AC} = √2I_{EF}

2) √2I_{AC} = I_{EF}

3) I_{AD} = 3I_{EF}

4) I_{AC} = I_{EF}

6. Eight spherical rain drops of the same mass and radius are falling down with terminal speed of 6 m/sec2.If they coalesce to form a big drop, what will be the terminal velocity of the bigger drop?

7. Calculate the surface temperature of the planet, if the energy radiated by unit area in unit time is 5.67 * 10*10*10*10 watt

8. The temperature-entropy diagram of reversible engine cycle is given in the fig. Its efficiency is

9. The angular amplitude of a simple Pendulum is θo . The maximum tension in S String will be..

1) mg(1 − θ_{0})

2) mg(1 + θ_{0})

3) mg(1 − θ_{0}^{2})

4) mg(1 + θ_{0}^{2})

10. A point source emits sound equally in all directions in a non- absorbing medium. Two points P and Q are at a distances of 2m and 3 m respectively from the source. The ratio of the intensities is

1 out of 2 11. Q1. Please answer the question

Calculate the pH of a 10^{-3}M solution of Ba(OH)_{2} if it undergoes complete ionization

12. Q.2) An aqueous solution has molality 11.11 . Hence mole fraction of solute in the solution is;

13. Q.3) How fast is an electron moving if it has a wave length equal to the distance it travels in one second?

14. Q.4) If the radius of first Bohr orbit is x, then de Broglie wavelength of electron in 3rd orbit is nearly

15. Q.5. Please answer the following question

Among N_{2}, H_{2}, CH_{4} and NH_{3} which gas is deviated most from ideal behavior of gas

a) H_{2}

b) NH_{3}c) N_{2}d)CH_{4}

16. Q.6. Please answer the question

1 gm H_{2}and X gm O_{2 }gas exerts a total pressure of 5atm. At a given temperature partial pressure ofO_{2 } gas is 4atm, O_{2 } in the mixture is

17. Q.7) Answer the following question

Find the moles of electron present in 30gm CO_{3}=

18. Q.8) Among the following compounds, the decreasing order of reactivity towards electrophilic substitution is

19. Q.9) The correct order regarding the electronegativity of hybrid orbitals of carbon is

- Sp<sp
^{2 }<sp^{3} - Sp>sp
^{2 }<sp^{3} - Sp>sp
^{2 }>sp^{3} - Sp<sp
^{2}>sp^{3}

20. Q.10) Among the trihalides of nitrogen which one is least basic→

- NF
_{3} - Ncl
_{3} - NBr
_{3} - NI
_{3}

2 out of 2