### RPET Sample Question Paper

PHYSICS SAMPLE QUESTIONS
1. Ball I having 1 kg mass strikes a glancing blow to another ball II at rest in an elastic collision with a speed of 5m/s. Ball I then moves off at right angle to its initial direction at a speed of 4 m/s. The momentum of ball II after collision in magnitude would be nearly :
(1) 5
(2) 6
(3) 1
(4) 2

2. The Pendulum of a grand-father’s clock swings 10 cm from side to side per second. Assuming it to be a simple pendulum, show that the peak velocity of the bob (in cm/sec) is nearly :
(1) 16
(2) 12
(3) 8
(4) 4

3. The variation of angular momentum with time for a rigid body rotating about an axis is as shown in the figure.

The torque at t = 40 seconds is :
(1) 1 Joule
(2) 1 Newton
(3) Zero
(4) 0.75 Joule

4. For a gm molecule of hydrogen and helium gases two specific heats (Cp and Cv) are found. Choose the correct statement concerning these specific heats:
(1) The ratio Cp / Cv for both gases is equal
(2) The ratio Cp / Cv for helium is more than for hydrogen.
(3) The ratio Cp / Cv for hydrogen is more than for helium
(4) The difference (Cp – Cv) for both is unequal

5. Two slits are placed 2 mm apart and 300 cm from the screen. When light of 6000 angstroms is used, the bright lines of the interference pattern will be separated by a distance in mm equal to :
(1) 3.1
(2) 4.15
(3) 0.90
(4) 9.00

6. Two locomotives moving with a speed of 36 km/ hr recede from each other, One of the locomotives whistles with a frequency of 200 Hz. Taking velocity of sound in air to be 340 m/s, the pitch of whistle (in Hz) as heard by an observer in the other locomotive will be :
(1) 188
(2) 212
(3) 200
(4) 224

7. What is the maximum charge (in coulombs) that can be conveyed to a conducting sphere of diameter 10 cm, if the breakdown voltage of air. is 2 x 106 volts/m ?
(1) 2.0 x 10-4
(2) 5.6 x 10-7
(3) 5.6 x 10-2
(4) 2.0 x 102

8. In a potentiometer a long uniformly thick resistance wire is used to have
(1) high resistance of potentiometer
(2) small heating of the wire
(3) high potential drop along the wire
(4) uniform and small potential gradient

9. Voltage of a power line at a given place is 220V. The peak voltage (in volts) will nearly be :
(1) 440
(2) 220
(3) 310
(4) 345

10. The wave length of first line of the Lyman series of a ten times ionized Na atom (Z = 11) is about (the first of the Lyman series for hydrogen is 1216 Å or 1.216 x 10-7 m) :
(1) 0.1 Å
(2) 10 Å
(3) 103 Å
(4) l00 Å
CHEMISTRY SAMPLE QUESTIONS

1. If Chloroform is left open in air in prsence of sun rays
(1) explosion takes place
(2) poisonous gas phosgene is formed
(3) polymerisation occurs
(4) no reaction takes place
2. What is the correct representation for the solubility product constant of Ag2 CrO4.?
(1) [Ag+]2 [CrO-
4]
(2) [Ag+] [CrO-
4]
(3) [2Ag+] [CrO-
4]
(4) [2Ag+]2 [CrO-
4]
3. The gastric juice in our stomach contains enough hydrochloric acid to make the hydrogen ion concentration about 0.01 mole/1. The pH of the gastric Juice is :
(1) 0.01
(2) 1
(3) 2
(4) 10
4. In which of the following reactions, there is no change in valence ?
(1) 4KClO3 = 3KClO4 + KCl
(2) SO2 + 2H2S = 2H2O + 3S
(3) BaO2 + H2SO4 = BaSO4 + H2O2
(4) 2BaO + O2 = 2BaO2
5. A metallic carbide on reaction with water gives a colourless gas which burns readily in air and which gives a precipitate with ammonical silver nitrate solution. The gas evolved is :
(1) Methane
(2) Ethene
(3) Ethylene
(4) Acetylene
6. Compared to the first ionization potential of an atom the second is
(1) the same
(2) greater
(3) smaller
(4) negligible
7. Sodium reacts with water more vigorously than lithium, because it
(1) has higher atomic weight
(2) is more electronegative
(3) is more electropositive
(4) is a metal

8. Acetic acid is obtained when
(1) methyl alcohol is oxidised with potassium permanganate
(2) Calcium acetate is distilled in the presence of calcium formate
(3) acetaldehyde is oxidised with potassium dichromate and sulphuric acid
(4) glycerol is heated with sulphuric acid

9. Which are the products of the reaction
CH3CH2Br+HC≡CNa→?
(1) CH3CH2C≡CH+NaBr
(2) CH2=CH2+HC≡CH+NaBr
(3) CH3CH2CH+CH2+NaBr
(4) CH3CH2CH=CHCH2CH3+NaBr
10. What is the correct IUPAC name for

Mathematics Sample Questions

5. Which one of the following is the value of the determinant