The document contains 22 questions related to physics, mathematics, and chemistry. Some key details include: 1) A question about the potential at the middle point of two charged particles hanging from an insulated surface. 2) Questions about fringe width and number of fringes related to wavelength in diffraction. 3) A question finding the angle between two lines defined by a system of equations involving variables l, m, and n. 4) A question finding the magnetic field at a distance from a current-carrying wire. 5) A question about dividing 30 marks into 8 questions with a minimum of 2 marks per question. The document covers a wide range of STEM topics in short

1. 1.
2. Two charged particles having same mass and same charge are hanging from a common vertical insulated
surface making an angle theta from vertical.... find the potential at the middle point of the line joining them????
a) root mgtanx b)2root mgtanx c)root mg / tanx d) 4 root mgtanx
3. Statement 1 - in a small field of view, no. of fringes will be less for greater wavelength
Statement 2 - wavelength is directly proportional to fringe width.
Assertion reasoning type question.
4. l,m,n are dc's .... l^2 + m^2 - n^2 = 0 and l + m + n = 1 ......find the angle b/w the two lines ?
5. A wire of length L, carrying current i .
Find the magnetic field at the axis of the wire at a distance of L/4 ?
6. 30 marks are to be divided into 8 questions , where no question carry less than 2 marks , in how many ways it
can be done ?
7. The area of the image of a square is 9 times greater than the area of the square of the object, then what is the
focal length of the lens. When the object is kept at 40cm from the lens?
8. For what values of p and q, the following statement is true
p-> (~pVq)
options
a.) p is false, q is true
b.) both are true
c.) bot are false
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2. d.) p is true q is false
9. On a sphere of 1 cm in radius, a UV radiation of 250 nm is incident. If work function of the sphere is 4.37 V,
calculate charge on the sphere when stopping potential becomes zero
10. Bakelite is the copolymer of phenol and ___.
11. 1^2 + 3^2 +.....25^2=??
12. R is a point on the plane 4x - 3y + z + 13 = 0 , from (0,0,0) , a perpendicular is drawn to R , find the distance
of R from (-1,1,-6) ?
13. Sum of (2)^2 + 2. (4)^2 + 3.(6)^2 +.......upto 10 terms
14. If the sides AB , BC , CA of triangle ABC have 3 , 4 , 5 points lying on it respectively apart from the vertices..
Then the number of triangles formed.?
15. The least integral value of x such that
( x - 5) / [ x^2 + 5x - 14 ] > 0
Satisfies the equation .? ( 4 quadratic equations were given as options.)
16. The number of solutions of equation in [ 0 , 5 pi]
Sin 2x - 2 cos x + 4 sin x = 4
17. Definite integration
[((sinx)^2)/ (1+(2^x))] and limits are(-pi/2) to(pi/2) .
18. Stability order--- H , B and Li ?
19. clemmenson reduction's reagents ?
20. Participant in wurtz fitting reaction ?
21. A charged particle 1micro C is placed at (0,0,0) . and a hollow conducting sphere having its centre at (4,0,0)
now calculate elec. potential and electric field induced due to this system ?
22. ( 1 / 1 ) + ( 1 / 1+2 ) + ( 1 / 1+2+3 ) ..... upto 10 .. the sum would be
Option A ,. 20 / 11 B,. 18 / 11 C,. 16 / 9 D, 22 / 13
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3. If A B C are the sides of a triangle then Determinant a b c , b c a , c a b would be ... ( its in the determinant form 3
x 3 matrix ) would be
options 1, Positive 2, Negative 3, Non- Negative 4, Non-Positive
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