Goiit - JEE Main - JEE Advanced - BITSAT - MTCET - KCET - SCRA - Entrance Exam Notifications - Study Tips - Sample Question Papers

Physics
A wire AB of radius r and length 2l stretched without tension along straight line is fixed at A and B. What is the tension in the wire when it is pulled at the centre into the shape ACB? The Young' s modulus of the material of the wire is Y. Assume that d<<1.
Chemistry
An organic compound A on treatment with acetic acid in the presence of sulphuric acid produces an ester B. The compound A on mild oxidation gives C. The compound C with 50% potassium hydroxide followed by acidification with dilute hydrochloric acid generates A and D. The compound D with phosphorous pentachloride followed by reaction with ammonia gives E. The compound E on dehydration produces hydrocyanic acid. Identify the compounds A,B, C, D and E.
Mathematics
Let z₁ = 10 + 6i and z₂ = 4 + 6i. If z is any complex number such that the argument of , then prove that \|z- 7 - 9i\| = 3