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Questions : #5 & #6 (in Hindi)
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In this lesson solve questions #5 & #6 from the question paper of IIT JEE MAINS 2017 - Set A

## Kumar Ketan is teaching live on Unacademy Plus

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3. IIT JEE 2017 PHYSICS Q. #1 to Q. #30 INDIAN IAN INSTITUTE Complete Paper Solution

4. Question 5 The moment of inertia of a uniform cylinder of length ( and radius R about its perpendicular bisector is I. What is the ratio e /R such that the moment of inertia is minimum? 1/3 2 (3) 1 N/2

5. 3 32-32 2 2 3

6. Question 6 A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle with the vertical is 3g sin 20 2g 3t (2) in 3g 2g -cos 20 (4) COs6 30 (3)

7. Sol. Torque at angle Me2 3 Masing 2 2 , 3 2 Mg 3g sin 20 Me2 3 2

8. Question 7 The variation of acceleration due to gravity g with distance d from centre of the earth is best represented by (R Earth's radius):

9. 9 Sol. 9. d=R Variation of g inside earth surface Gm Gm Gm

10. Question 8 A copper ball of mass 100 gm is at a temperature t. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75 C. T is given by: (Given : room temperature 30 C, specific heat of copper 0.1 cal/gm C) (1) 800 C (2) 885 C (3) 1250 C (4) 825 C

11. Question9 An external pressure P is applied on a cube at O'C so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and a is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by (1)P/ (2)P/a K (3)3/PK a (4) 3PK a

12. Question 10 Cpand Cp are specific heats at constant pressure and constant volume respectively. It is observed that Cp - Cp- a for hydrogen gas and Cp C-b for nitrogen gas. The correct relation between a and b is 14 (2) ab (3) a - 14b (4) a - 28b