1.
A ray of light falls on a prism ABC (AB = BC) and travels as shown in figure. The refractive index of the prism material should be greater than
2.
A radioactive sample has N0 active atoms at t = 0. If the rate of disintegration at any time is R and the number of atoms is N, then the ratio R/N varies with time as
3.
The wavelength of K X-rays for lead isotopes ,
respectively. Then
4.
For a particle executing simple harmonic motion, the kinetic energy k is given by, k = k_{0}Cos^{2} (where is constant). The maximum value of potential energy is
5.
Which one of the following gases is adsorbed most by activated charcoal?
6.
Electrolytic reduction method is used in the extraction of
A.
B.
C.
Highly electropositive elements
D.
Highly electronegative elements
7.
How many grams of invert sugar can be produced by the hydrolysis of 1.00 g of sucrose, C_{12}H_{22}O_{11} ?
8.
A transverse wave is travelling along a string from left to right. The figure below represents the shape of the string at a given instant. At this instant, among the following, choose the wrong statement
A.
Points D, E, F have velocity in + y direction
B.
Points A, B and H have velocity in – y direction
C.
Points C and G have zero velocity
D.
Point A and E have minimum velocity
9.
Arrange the following electrolytes in increasing order of coagulation power for 23 As S colloid.
10.
If A is any invertible idempotent matrix and B = 7A^{7} + 6A^{6} + 5A^{5} + ..... A, then det (B) is equal to
11.
In which of the following metal carbonyl the C–O bond is the weakest?
12.
If in a ABC, a = 6, b = 3 and cos (A – B) =4/5 , then
A.
B.
C.
Area ( ABC) = 10 sq. units
D.
Area ( ABC)= 18 sq. units
13.
Seven digits from the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 are picked and a number is formed randomly then the probability that the number is divisible by 9 is
PARAGRAPH
An equilateral triangle ABC is inscribed into a circle of radius ‘R’. Another circle is inscribed into the triangle ABC and a square is inscribed into the incircle of the triangle
14.
Area of square PQRS is
15.
The length of side of equilateral triangle ABC is
16.
Lateralmeristemis responsible for
17.
What is a characteristic of archaebacteria?
A.
Most are disease – causing
B.
Theylive just about anywhere
C.
They use sun to produce food and energy
D.
Theythrive in extreme environment
18.
Which of the following statements are true about Endoplasmic Reticulum?
(1)Smooth endoplasmic reticulum makes lipids
(2) It is also called the control centre of the cell
(3) It processes carbohydrates
(4) Itmodifies chemicals that are toxic to the cell
19.
If pteridophytes had this feature, theywould be placed in the same group as gymnosperms.
A.
B.
Plant bodydifferentiated into root, stem, and leaves
C.
D.
Well differentiated reproductive tissue
20.
Xerophtalmia is caused due to the deficiency of