Section 3 (Maximum Marks: 12)

• This section contains TWO (02) List-Match Sets.

• Each List-Match set has TWO(02) Multiple Choice Questions.

• Each List-Match set has two lists: List-I and List-II.

• List-I has Four entries (I), (II), (III) and (IV) and List-II has Six entries (P), (Q), (R), (S), (T) and (U).

• FOUR options are given in each Multiple Choice Question based On List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.

• Answer to each question will be evaluated according to the following marking scheme:

Full Marks : +3 If ONLY the option corresponding to correct combinatioin is chosen;

Zero Marks : 0 If none of the options is chosen (i.e., the question is unanswered);

Zero Marks : -1 In all other cases.

Answer the following by appropriately matching the list based on the information given in the paragraph.

A musical instrument is made using four different metal strings, 1, 2, 3 and 4 with mass per unit length , 2 , 3 and 4 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- l( ) 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.

List-I List-II

(I) String-1 ( ) (P) 1

(II) String-2 (2 ) (Q) 1/2

(III) String-3 (3 ) (R) 1/

(IV) String-4 (4 ) (S) 1/

(T) 3/16

(U) 1/16

(i) If the tension in each string is T 0 , the correct match for the highest fundamental frequency in f 0 units will be, Options