1 Kinematics
An ant goes from P to R on a circular path in 20 second Radius OP=10m. What is the average speed and average velocity of it ?
1) (π/6) m/s, 3 m/s 2) (π/3) m/s, √3/2 3) (π/3) m/s,√3 4) π √6
Length of arc=(2π/3) × (op) Speed=Length of arc/ time Displacement PR From figure angle POM=60° thus PM=OPsin60 PM=10 (√3 /2) Thus PR=2PM=10( √3) Velocity=PR/time=√3/2
2 S – Block Elements
The metal oxides of alkaline earth metal can be formed by heating corresponding carbonates except:
1) BeO 2) MgO 3) CaO 4) none
3 Biomolecules
Starting with three different amino acid molecules, how many different tripeptide molecules could be formed ?
1) 12 2) 9 3) 3 4) 6
4 Thermal Properties Of Matter
A piece of ice (heat capacity = 2100 J kg -1 °C-1 and latent heat = 3.36 × 105J kg -1) of mass m gram is at –5°C at atmospheric pressure. It is given 420 J of heat, so that the ice starts melting. Finally when the ice-water mixture is in equilibrium, it is found that 1 g of ice has melted. Assuming there is no other heat exchange in the process, the value of m is
1) 8 2) 6 3) 4 4) 8.5
SOLUTION
5 Circles
If θ is the angle between the tangents from (-1, 0) to the circle x2 + y2 - 5x + 4y = 0, then θ is equal to
1) 2 tan-1 (7/4) 2) tan-1(7/4) 3) 2 cot-1(7/4) 4) cot-1(7/4)
6 P – Block Elements
Which one of the following arrangements does not truly represent the property indicated against it?
1) Br2 < Cl2 < F2 : Oxidising power
2) Br < Cl < F : Electronegativity
3) Br < F < Cl : Electron affinity
4) Br2 < Cl2 < F2 : Bond energy
Solution: Br - Br 158 KJmol-1 Cl -Cl 210 KJmol-1 F- F 126 KJmol-1
Thus, F2 < Br2 < Cl2
7 Chemical Kinetics
A catalyst in the finely divided state is more efficient because in this state
1) it can react with one of the reactant more efficiently
2) it has larger activation energy
3) it has large surface area
4) all of the above
8 Coordination Compounds
Which of the following compounds can exhibit linkage isomerism? 1) [Co(en)3]Cl3 2) [CoCl2(en)2]Cl 3) [CoCl(NO2)(en)2]Br 4) [CoCl(NH3)5]Br2
In option 3 the - NO2 group can link using oxygen atom as -ONO. Hence it can show linkage isomerism
9 D and F Block Elements
On addition of AgNO3 to four different test tubes containing different solutions, one of them gave a white precipitate. It may contain
1) CHCl3 2) CaCl2 3) KNO3??????? 4) CCl4
When silver nitrate is added to a test tube containing calcium chloride, a white precipitate of silver chloride is obtained. $$2AgNO_3+CaCl_2 \rightarrow \underset {white precipitate} {2AgCl \downarrow} + Ca(NO_3)_2$$
10 Magnetic Effects of Current
An 8cm long wire carrying a current of 10A is placed inside a solenoid perpendicular to its axis. If the magnetic field inside the solenoid is 0.3T, then magnetic force on the wire is 1) 0.14N 2) 0.24N 3) 0.34N 4) 0.44N
Solution:
$$F=IlB sin \theta$$
Here, $$\theta=90^{\circ}$$, $$I=10\,A$$,
$$l=8\,cm=8\times10^{-2}\,m$$, $$B=0.3\, T$$
$$\therefore F=10\times8\times10^{-2}\times0.3\times sin90^{\circ}$$
$$=0.24\, N $$
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