JEE Main Sample Papers Mcqs Online Mock Test

1. The magnetic field in a region between the poles of an electromagnet is uniform at any time, but its magnitude is increasing at the rate of 0.02 T/s. A conducting loop is placed in this region, whose plane is perpendicular to direction of magnetic field. Calculate the emf induced and induced current in the loop. Take cross-section area of loop as 120 cm² and resistance of loop as Ω

2. In gaseous reactions important for the understanding of the upper atmosphere, H₂O and O react bimolecularly to form two OH radicals. ∆H for this reaction is 72 kg J at 500 k and E_a is 77 kJ/mol. The E_a for the bi molecular recombination of two OH radicals to form H₂O and O is?

3. Dimethyl glyoxime in a suitable solvent was refluxed for 10 min with pure pieces of nickel sheet, it will result in

4. There is a point P(a,a,a) on the line passing through the origin and equally inclined with axes. The equation of plane perpendicular to OP and passing through P cuts the intercepts on axes the sum of whose reciprocal is?

5. If ∫ 2^x/√1 - 4^x dx= k sin^-1(2^x)+c, then k is equal to

6. If a,b,c are in AP, then a+1/bc, b+1/ca, c+1/ab are in

7. Statement I: If ƒ(x) =(x - 3)³, then ƒ(x) is neither maximum nor minimum at x=3.

Statement II: ƒ′(x) =0, ƒ′′(x)=0 at x=3

8. The equation of the common tangent to the curves y²=8x and xy= -1 is?

9. 0.3 kg of hot coffee, which is at 70°C, is poured into a cup of mass 0.12 kg. Find the final equilibrium temperature. Take room temperature as 20°c,

S_coffee =4080 J/kg-K and S_cup =1020 J/kg-K.

10. Statement I: The function ƒ(x)= |x| is not one-one.

Statement II: The negative real numbers are not the images of any real numbers.

11. For how many value (s) of x in the closed interval [-4, -1] is the matrix

3                   -1+x                  2

3                     -1                 x+2

x+3                -1                   2             singular?

12. Regarding conductors in electrostatics which is wrong?

13. An astronaut accidentally gets separated out of his small spaceship accelerating in interstellar space at a constant rate 100 m/s². What is the acceleration of the astronaut at the instant after he is outside the spaceship? (Neglect effect of gravitation of nearby stars etc).

14. If the roots of the equation x²-2ax+a²+a-3=0 are real and less than 3, then

15. Substances like sulfur and phosphorus are fairly soluble in alcohol but less soluble in water. If their alcoholic solution is poured in water, colloidal solutions of sulfur and phosphorus are obtained. This method can be called