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IIT-JEE 2010 - Career Point

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Physics Challenging Problems<br />

Set # 8<br />

This section is designed to give <strong>IIT</strong> <strong>JEE</strong> aspirants a thorough grinding & exposure to variety<br />

of possible twists and turns of problems in physics that would be very helpful in facing <strong>IIT</strong><br />

<strong>JEE</strong>. Each and every problem is well thought of in order to strengthen the concepts and we<br />

hope that this section would prove a rich resource for practicing challenging problems and<br />

enhancing the preparation level of <strong>IIT</strong> <strong>JEE</strong> aspirants.<br />

By : Dev Sharma<br />

Solutions will be published in next issue<br />

Director Academics, Jodhpur Branch<br />

Passage # 1 (Ques. 1 to 3)<br />

Young's double slit experiment is conducted with the<br />

following conditions<br />

1. Slit S 1 and slit S 2 are of same width<br />

2. Slits are illuminated by monochromatic light source<br />

of wave length 'λ b ' which is of blue color.<br />

3. Distance between slits and screen D. Distance<br />

between slits is 2d and D > > 2d<br />

It is observed that 1st bright fringe is observed in<br />

front of one of the slit.<br />

1. If monochromatic light source of blue color is<br />

replaced by the white colored light source then<br />

maximum wavelength which is missing in front of<br />

one of the slit is -<br />

(A) Never of indigo and violet colors<br />

(B) It is always of less than blue color<br />

(C) Missing wave lengths can have wave length<br />

more or less than blue color<br />

(D)<br />

λ<br />

2 = λ<br />

max . .<br />

( missing ) 3<br />

b<br />

2. Relation of the maximum wavelength missing with<br />

wave length of Blue light is -<br />

(A) 2λ b<br />

(B) 3λ b<br />

(C) 4λ b<br />

(D) 5λ b<br />

3. With blue light if the slit widths are made unequal<br />

then -<br />

(A) Position of 1st bright fringe will not be in front<br />

of one of the slit<br />

(B) Dark fringe which was of black colour earlier<br />

with same slit widths now is of blue colour<br />

(C) YDSE can not be conducted with unequal slit<br />

widths<br />

(D) Dark fringe is always black either the slit widths<br />

are equal or not<br />

Passage # 2 (Ques. 4 to 5)<br />

For the given circuit<br />

a<br />

R<br />

8R<br />

R<br />

R<br />

4R<br />

3R<br />

12R<br />

4. What should be the value of R so that equivalent<br />

resistance between terminals a and b is 1Ω -<br />

2 5<br />

(A) Ω (B) Ω<br />

5 2<br />

(C) 2Ω<br />

2R<br />

R<br />

(D) 15Ω<br />

5. If current passing through the circuit is 1 amp then-<br />

(A) Potential difference across 4R and 8R is in the<br />

ratio of 1 : 2<br />

(B) Potential difference across ab is 1 volt when<br />

measured by an ideal voltmeter if R = 5<br />

2 Ω<br />

(C) Maximum potential difference will appear<br />

across 12R resistance<br />

(D) Maximum potential difference will appear<br />

across 3R resistance<br />

R<br />

b<br />

XtraEdge for <strong>IIT</strong>-<strong>JEE</strong> 18 DECEMBER 2009

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