Engineering QuestionsJEE Main

379 solved questions with detailed explanations

101

Q.9. Let the mid points of the sides of a triangle ABC be , and . If its incentre is , then is equal to :

Jee MainMathematics
102

Q.40. Two known resistance of R and 2R and one unknown resistance X are connected in a circuit as shown in the figure. If the equivalent resistance between points A and B in the circuit is X , then

JEE MainPhysics
103

Q.57. Given below are two statements:R = 8.314 J K⁻¹ mol⁻¹ and 1 cal = 4.2 JStatement I: When = 12.6 kcal/mol, the room temperature rate constant is doubled by a 10°C increase in temperature (298 K t

JEE MainChemistry
104

Q.61. The correct statements are: A. Activation energy for enzyme catalysed hydrolysis of sucrose is lower than that of acid catalysed hydrolysis. B. During denaturation, secondary and tertiary struct

JEE MainChemistry
105

Q.61. Which of the following sets includes all the species that will change the orange colour of KCrO in acidic medium ?

Jee MainChemistry
106

Q.50. A tube is filled with water and a wooden cube 10 cm 10cm 10cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is

Jee MainPhysics
107

Q.54. Consider the following data (i) 2Al(s) + 6HCl(aq) AlCl(aq) + 3H(g) + 1200 kJ/mol. (ii) H(g) + Cl(g) 2HCl(g) + 164 kJ/mol. (iii) HCl(g) + aq HCl(aq) + 83 kJ/mol. (iv) AlCl(s) + aq AlCl(aq) +

Jee MainChemistry
108

Q.18. The area of the region bounded by the curves x + 3y= 0 and x + 4y = 1 is equal to :

Jee MainMathematics
109

Q.58. The electronegativity of a group 13 element 'E' is same as that of Ge (on Pauling scale and upto one decimal point). The CORRECT statements about E are A. It can act as a reducing agent. B. It c

Jee MainChemistry
110

Q.41. Refer the figure given below. and are refractive indices of air and lens material. The height of image will be _______ cm. [Figure: A plano-convex lens with object and image distances].

Jee MainPhysics
111

Q.1. Let , be the roots of the quadratic equation for some . Then is equal to :

Jee MainMathematics
112

Q.49. When an external resistance of is connected across terminals of a cell, a current of 0.25 A flows through it. When the resistor is replaced by a resistor, a current of 0.5 A flows through it.

JEE MainPhysics
113

Q.61. Given below are two statements for catalytic properties of transition metals : Statement I: First row transition metals which act as catalyst utilise their 3d electrons only for formation of bon

JEE MainChemistry
114

Q.41. A spherical interface lens of radius R separates two media of refractive indices 1 and 1.4 respectively as shown in the figure below. A point source is placed at a distance of 4R in front of sph

JEE MainPhysics
115

Q.18. The value of the integral is:

JEE MainMathematics
116

Q.41. An object AB is placed 15 cm on the left of a convex lens P of focal length 10 cm. Another convex lens Q is now placed 15 cm right of lens P. If the focal length of lens Q is 15 cm, the final im

JEE MainPhysics
117

Q.32. A parallel plate air capacitor has a capacitance C. When it is half filled as show in figure with a dielectric constant K = 5, the percentage increase in the capacitance is [Figure: A parallel p

Jee MainPhysics
118

Q.67. Match List-I with List-II. List-I: Mixture of Compounds A. Diethyl amine + Ethyl amine B. Acetaldehyde + Acetone C. Ethanol + Phenol D. Benzoic acid + Cinnamic acid List-II: Reagent used to dist

Jee MainChemistry
119

Q.69. The incorrect statement from the following with respect to carbohydrates is :

JEE MainChemistry
120

Q.17. Let A = {(a, b, c) : a, b, c are non-negative integers and a + b + 2c = 22}. The n(A) is equal to :

Jee MainMathematics