# JEE (Advanced) 2019 Paper-2

Instructions

For the following questions answer them individually

Question 11

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Question 12

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Question 13

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Question 14

# An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at 135 cm mark. In this experiment, the percentage error in the measurement ofthe focal length ofthe lens is _____________ .

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Instructions

A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length $$\mu, 2\mu, 3\mu$$ and $$4\mu$$ respectively. The instrument is played by vibrating the strings by varying the free length in between the range $$L_0$$ and $$2L_0$$. It is found that in string-1 $$(\mu)$$ at free length $$L_0$$ and tension $$T_0$$ the fundamental mode frequency is $$f_0$$.
List-I gives the above four strings while list-II lists the magnitude of some quantity.

Question 15

Question 16

# The length of the strings 1, 2, 3 and 4 are kept fixed at $$L_0, \frac{3L_0}{2}, \frac{5L_0}{4}$$ and $$\frac{7L_0}{4}$$, respectively. Strings 1, 2, 3, and 4 are vibrated at their $$1^{st}, 3^{rd}, 5^{th}$$ and $$14^{th}$$ harmonics, respectively such that all the strings have same frequency. The correct match for the tension in the four strings in the units of $$T_0$$ will be,

Instructions

In a thermodynamic process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by T $$\triangle X,$$ where T is temperature of the system and $$\triangle X$$ is the infinitesimal change in a thermodynamic quantity X of the system. For a mole of monatomic ideal gas $$X = \frac{3}{2} R ln \left(\frac {T}{T_A}\right) + R ln \left(\frac {V}{V_A}\right)$$ Here, R is gas constant, V is volume of gas, $$T_A$$ and $$V_A$$ are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.

Question 17

Question 18

# If the process on one mole of monatomic ideal gas 1s as shown in the TV-diagram with $$P_0 V_0 = \frac{1}{3} RT_0$$ the correct match is,

Instructions

For the following questions answer them individually

Question 19

Question 20

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