JEE Advanced Mi...

A bi-convex lens is constructed using two thin plano-convex lenses, as shown in the figure. The refractive index of the first lens is 1.5, and that of the second lens is 1.2. Both curved surfaces have the same radius of curvature, R = 14 cm. For this bi-convex lens, when the object distance is 40 cm, determine the image distance:

A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is 50 N and the speed of sound is 320 ms, the mass of the string is:

Compound Y(C₇H₈O) is insoluble in water, dil HCl and aqueous NaHCO₃. It dissolves in dilute NaOH. When Y is treated with bromine water it is converted rapidly into a compound of formula C₇H₅OBr₃. Identify the structure of Y.

The curve of pressure-volume PV against pressure P of the gas at a particular temperature is as shown, according to the graph which of the following is incorrect (in the low-pressure region)?

Two moles of an ideal monoatomic gas undergoes a cyclic process ABCA as shown in V-T diagram below Work done by the gas during the entire cycle is:

How many combinations of non-null sets A, B, C are possible from the subsets of (2, 3, 5) satisfying the condition: (i) A is a subset of B, and (ii) B is a subset of C?