Engineering QuestionsJEE Main

409 solved questions with detailed explanations

331

Q.27. The potential energy of a particle changes with distance from a fixed origin as where and are constant with appropriate dimensions. The dimension of are ________.

JEE MainPhysics
332

Q.71. If 3.365 g of ethanol (l) burnt completely in a bomb calorimeter at 298.15K, the heat produced is 99.472 kJ. The |ΔH| of ethanol at 298.15 K is ______ × 10² kJ mol⁻¹. (Nearest integer) Given : S

JEE MainChemistry
333

Q.15. Let and be unit vectors inclined at an acute angle such that . If . Then is equal to :

JEE MainMathematics
334

Q.62. Given below are two statements : Statement I: Vapours of the liquid with higher boiling point condense before vapours of the liquid with lower boiling points in fractional distillation. Statemen

JEE MainChemistry
335

Q.6. The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal to the common ratio of the G.P. and the first term of th

JEE MainMathematics
336

Q.74. Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with t = 3 hour. The percentage of sucrose remaining after 6 hours is ______ (Nearest integer) (Given: log 2

JEE MainChemistry
337

Q.7. A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10 observations is equal to :

JEE MainMathematics
338

Q.39. A current carrying circular loop of radius 2 cm with unit normal \hat{n} = \frac{\hat{k}+\hat{i}}{\sqrt{2}} is placed in a magnetic field, B=B₀(3i+2k). If B₀ = 4 × 10⁻³ T and current I=100\sqrt{

JEE MainPhysics
339

Q.6. A candidate has to go to the examination centre to appear in an examination. The candidate uses only one means of transportation for the entire distance out of bus, scooter and car. The probabili

JEE MainMathematics
340

Q.53. Which of the following pictorial diagram most correctly represents the ( - antibonding) molecular orbital between two atoms if the internuclear axis is taken to be in the z-direction (z-axis )?

JEE MainChemistry