Will you please share the last year question paper of IIT JEE Mains Exam with Solutions???

Here I am sharing the last year question paper of IIT JEE Mains Exam with Solutions

How many litres of water must be added to 1 litre of an aqueous solution of HCl with a pH of 1 to create an aqueous solution with pH of 2?
(1) 0.9 L (2) 2.0 L
(3) 9.0 L (4) 0.1 L
Sol. (3)
Initial pH = 1, i.e. [H+] = 0.1 mole/litre
New pH = 2, i.e. [H+] = 0.01 mole/litre
In case of dilution: M1V1 = M2V2
0.1 ×1 =0.01 × V2
V2 = 10 litre.
Volume of water added = 9 litre.

Which of the following exists as covalent crystals in the solid state?
(1) Silicon (2) Sulphur
(3) Phosphorous (4) Iodine
Sol. (1)
Silicon (Si) – covalent solid
Sulphur (S8) – molecular solid
Phosphorous (P4) – Molecular solid
Iodine (I2) – Molecular solid

A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of
capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated
frequency which could be detected by it.
(1) 10.62 kHz (2) 5.31 MHz
(3) 5.31 kHz (4) 10.62 MHz
Sol. (3)






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