Find JEE Main Practice Paper Set- XV for the coming exam. This paper is specially prepared by experienced and reputed faculties of engineering coaching institutes. All questions in the practice paper are of utmost importance, because they are developed with great expertise and care.

**Few sample questions from the Question Paper are given below:**

**Q. The total length of a sonometer wire between fixed ends is 110 cm. Two bridges are placed to divide the length of wire in ratio 6 : 3 : 2. The tension in the wire is 400 N and the mass per unit length is 0.01 kg/m. What is the minimum common frequency with which three parts can vibrate?**

(a) 1100 Hz

(b) 1000 Hz

(c) 166 Hz

(d) 100Hz

**Correct option: (b)**

**Q.** **In a Young’s double slit experiment, the distance between the two identical slits is 6.1 times larger than the slit width. Then the number of intensity maxima observed within the central maximum of the single slit diffraction pattern is:**

(a) 3

(b) 6

(c) 12

(d) 24

**Correct Option: (c)**

**Q.** **Which of the following diatomic molecules would be stabilized by the removal of an electron?**

(a) C_{2}

(b) CN

(c) N_{2}

(d) O_{2}

**Correct Option: (d)**

**Q.** **The approximate pH of a solution formed by mixing equal volumes of solution of 0.1 M sodium propanoate and 0.1 M propanoic acid (k _{a} for propanoic acid = 1.3 × 10^{-}^{5} mol dm^{-}^{3}) will be:**

(a) 1.52

(b) 3.62

(c) 4.89

(d) 5.52

**Correct Option: (c)**

**Q.** Equation of the bisector of the acute angle between lines *3x + 4y + 5 = 0* and *12x – 5y – 7 = 0* is

(a) *21x + 77y + 100 = 0*

(b) *99x – 27y + 30 = 0*

(c) *99x + 27y + 30 = 0*

(d) *21x – 77y – 100 = 0*

**Correct Option: (c)**

**Q.** **If AM and HM between two numbers are 27 and 12 respectively, then their GM is**

(a) 9

(b) 18

(c) 24

(d) 36

**Correct Option: (b)**

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