Engineering Questions

460 solved questions with detailed explanations

321

Q.73. One mole of phenol is treated with dilute HNO₃ at 298K to give a mixture of products. The mixture is separated by steam distillation. The seam volatile compound (X) is separated. The increase in

JEE (Main)Chemistry
322

Q.13. Suppose the two chords, drawn from the point on the circle are bisected by the y-axis. If the other ends of these chords are R and S, and the mid point of the line segment RS is , then is equ

JEE (Main)-2026 Session-1Mathematics
323

Q.31. The two projectiles are projected with the same initial velocities at the 15° and 30° with respect to the horizontal. The ratio of their ranges is 1: x. The value of x is

JEE MainPhysics
324

Q.19. The area of the region {(x, y) : , , } is :

JEE MainMathematics
325

Q.37. A voltmeter with internal resistance of can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to ________

JEE MainPhysics
326

Q.72. RMgI when treated with ice cold water liberated a gas which occupied 1.4 dm/g at STP. The gas produced is further reacted with iodine in presence of , to give compound (X). Compound (X) in prese

JEE MainChemistry
327

Q.33. The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point (p) of normal bisector, as shown in the figure is ________.

JEE MainPhysics
328

Q.68. Which statements are True? A. In Hoffmann bromamide degradation, 4 moles of NaOH and 2 moles of Br₂ are consumed per mole of an amide B. Hoffmann bromamide reaction is not given by alkyl amides.

JEE MainChemistry
329

Q.23. If , and be three vectors such that and , then is equal to ________.

JEE MainMathematics
330

Q.26. Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial separation of 4R. Both the spheres are given an initial speed of u towards each

JEE MainPhysics
331

Q.36. In interference experiment the path difference between two interfering waves at a point A on the screen is , where is the wavelength of these waves, and at another point B the path difference i

JEE MainPhysics
332

Q.4. Let and . If and , then among the two statements : (S1): and (S2): , (1) only (S1) is correct (2) only (S2) is correct (3) both (S1) and (S2) are correct (4) both (S1) and (S2) are wrong

Jee MainMathematics
333

Q.11. In an equilateral triangle PQR, let the vertex P be at (3, 5) and the side QR be along the line . If the orthocentre of the triangle PQR is (, ), then is equal to :

JEE MainMathematics
334

Q.9. Let a focus of the ellipse E: be S(4,0) and its eccentricity be . If the point P(3, ) lies on E and O is the origin, then the area of is equal to :

JEE MainMathematics
335

Q.29. A gas balloon is going up with a constant velocity of 10 m/s. When this balloon reached a height of 75 m, a stone is dropped from it and balloon keeps moving up with the same velocity. The heigh

JEE MainPhysics
336

Q.11. If the eccentricity of the hyperbola , passing through , satisfies , then the length of the latus rectum of the hyperbola is:

JEE MainMathematics
337

Q.62. Consider |x| is the difference in oxidation states of Mn in highest manganese fluoride and highest manganese oxide. The ions with x number of unpaired electrons from the following are: A. Sc³⁺ B

Jee MainChemistry
338

Q.13. The square of the distance of the point P(5, 6, 7) from the line is equal to :

JEE MainMathematics
339

Q.47. An unpolarized light of intensity I passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is

JEE MainPhysics
340

Q.57. The 1st ionization enthalpy for Mg is +737 kJ/mol. The most probable estimated value of the 2nd ionization enthalpy of Mg is ______.

Jee MainChemistry