JEE MAIN - 2013 QUESTION PAPER

JEE MAIN - 2013 QUESTION PAPER:
The Jee Main 2013 exam was conducted by the CBSE. This year the exam was aconducted for the NITs, IIITs, Centraally funded institutions and universities and State funded universities along with the IITs. The paper was consist of 90 questions (Physics-30, Mathematics- 30, Chemistry-30).

Chemistry:

Qu. The molarity of a solution obtained by mixing 750 mL of 0.5 (M) HCl with 250 mL of 2(M)HCl will be:
(1) 1.00 M                      (2) 1. 75 M        
(3) 0.975 M                    (4) 0.875 M

Ans. (4)

Qu. A solution of (–) –1 – chloro –1 – phenylethane is toluene racemises slowly in the presence of a small amount of SbCl5, due to the formation of :
(1) carbene                     (2) carbocation    
(3) free radical                 (4) carbanion

Ans. (2)

Mathematics:

Qu. The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point
(1) (2, −5)                     (2) (5, −2)        
(3) (−2, 5)                     (4) (−5, 2)

Ans. (2)

Qu. All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given?

(1) Median                       (2) mode        
(3) variance                     (4) mean

Ans. (3)

Physics:

Qu. A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it.
(1) 10.62 kHz                    (2) 5.31 MHz        
(3) 5.31 kHz                     (4) 10.62 MHz

Ans. (3)

Qu. The supply voltage to a room is 120 V. The resistance of the lead wires is 6 Ω. A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on in parallel to the bulb?
(1) 2.9 Volt                    (2) 13.3 Volt
(3) 10.04 Volt                     (4) zero volt

Ans. (3)

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