text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
If \( \boldsymbol{A}=\mathbf{6 0}^{\circ} \) and \( \boldsymbol{B}=\mathbf{3 0}^{\boldsymbol{o}}, \) verify that
\( \tan (\boldsymbol{A}+\boldsymbol{B})=\frac{\tan \boldsymbol{A}+\tan \boldsymbol{B}}{1-\tan \boldsymbol{A} \tan \boldsymbol{B}} \) | 2 | Maths |
If \( X \) is normally distributed with mean 6 and standard deviation \( 5, \) find:
(i) \( \boldsymbol{P}[\mathbf{0} \leq \boldsymbol{X} \leq \mathbf{8}] \)
(ii) \( \boldsymbol{P}(|\boldsymbol{X}-\mathbf{6}|<\mathbf{1 0}) \)
Here \( \boldsymbol{P}(\mathbf{0}<\boldsymbol{Z}<\mathbf{1} . \mathbf{2})=\mathbf{0 . 3 8 4 9} \)
\( \boldsymbol{P}(\mathbf{0}<Z<\mathbf{0 . 4})=\mathbf{0 . 1 5 5 4} \)
\( \boldsymbol{P}(\mathbf{0}<\boldsymbol{Z}<\mathbf{2})=\mathbf{0 . 4 7 7 2} \) | 2 | Maths |
Find the degree of given polynomial:
\( 4 x^{3}-1 \) | 2 | Maths |
What is menopause and menarche? | 0 | Biology |
In which of the following pyrenoids are
present?
A. Marchantia
B. Riccia
c. Anthoceros
D. All of the above | 0 | Biology |
Protons and \( \alpha \) -particles of equal
momenta enter a uniform magnetic field normally. The radii of their orbits will have the ratio
\( A \)
B. 2
c. 0.5
\( D \) | 3 | Physics |
If \( x y- \) plane and \( y z- \) plane divides the line segment joining \( A(2,4,5) \) and \( B(3,5,-4) \) in the ratio \( a: b \) and \( p: q \) respectively then value of \( \left(\frac{a}{b}+\frac{p}{q}\right) \) may be
A \( \cdot \frac{23}{12} \)
в. \( \frac{7}{5} \)
\( c \cdot \frac{7}{12} \)
D. \( \frac{21}{10} \) | 2 | Maths |
Which reagent, when mixed with ammonium sulfate and then heated,
liberates ammonia?
A. aqueous bromine
B. dilute hydrochloric acid
c. limewater
D. potassium dichormate
(VI) in acidic solution | 1 | Chemistry |
Expand: \( (\boldsymbol{p}+\boldsymbol{q}-\boldsymbol{2} \boldsymbol{r})^{2} \) | 2 | Maths |
If the \( 2^{n d} \) term of an AP is 13 and the \( 5^{t h} \)
term is 25 what is its \( 7^{t h} \) term? | 2 | Maths |
The pH of the solution after Expt. 2 is:
A . 2.8
в. 4.7
\( c .5 . \)
D. 7.0 | 1 | Chemistry |
CuT, LNG-20 and Cu7 are examples of
A. Contraceptive pills
B. Surgical methods of sterilization
C. Assisted reproductive technology
D. Intrauterine device
E. Monoclonal antibodies | 0 | Biology |
Hydroponic is a subset of what type of culture?
A. Hydroculture
B. Solid medium culture
c. xeroculture
D. Tissue culture | 0 | Biology |
The coefficient of friction between two
surfaces is 0.2. The angle of friction is
\( A \cdot \sin ^{-1}(0.2) \)
\( B \cdot \cos ^{-1}(0.2) \)
\( c \cdot \tan ^{-1}(0.1) \)
D. \( \cot ^{-1}(5) \) | 3 | Physics |
Which one is not a cofactor?
A . Co-enzyme
B. Apoenzyme
c. Prosthetic group
D. Metal ions | 0 | Biology |
\( \tan ^{-1} x+2 \cot ^{-1} x=\frac{2 \pi}{3}, \) then the
value of \( x \) is-
A \( \cdot \sqrt{2} \)
B. 3
\( c \cdot \sqrt{3} \)
D. \( \frac{\sqrt{3}-1}{\sqrt{3}+1} \) | 2 | Maths |
Find the exponent of 10 in \( ^{75} C_{25} \) | 2 | Maths |
How many monochloro products can be formed when n-butane is subjected to
monochlorination? | 1 | Chemistry |
Find the angle between \( \vec{a}+\vec{b}+\vec{c} \) and \( \vec{a}+\vec{b}-\vec{c} \)
A \( \cdot \cos ^{-1}\left(\frac{8}{\sqrt{57}}\right) \)
B. \( \cos ^{-1}\left(\frac{9}{\sqrt{75}}\right) \)
\( ^{\mathbf{C}} \cdot \cos ^{-1}\left(\frac{1}{\sqrt{2}}\right) \)
D. \( \cos ^{-1}\left(\frac{-7}{\sqrt{85}}\right) \) | 3 | Physics |
\( \lim _{x \rightarrow 0} \frac{\sin x^{n}}{(\sin x)^{m}}(m<n) \) is equal to
A . 1
B.
c. \( \frac{n}{m} \)
D. None of he above | 2 | Maths |
In the preparation of \( C a O \) from \( C a C O_{3} \)
using the equilibrium \( C a C O_{3}(s) \rightleftharpoons \) \( \boldsymbol{C a O}(s)+\boldsymbol{C O}_{2}(\boldsymbol{g}) \boldsymbol{K}_{p} \) is expressed as:
\( \log \boldsymbol{K}_{p}=\mathbf{7 . 2 8 2}-\frac{\mathbf{8 5 0 0}}{\boldsymbol{T}} \)
for complete decomposition of \( C a C O_{3} \)
the temperature in celsius to be used is:
A . 1167
в. 894
c. 8500
D. 850 | 1 | Chemistry |
Which of the following is not dielectric materials?
A. Silicon dioxide
B. Silicon nitride
c. Titanium oxide
D. None of the above | 3 | Physics |
Cyclic succession is
A. Pattern of vegetation change in which a small number of species tend to replace each other over time in the absence of large-scale disturbance
B. Pattern of vegetation change in which large number of species tend to replace each other over time
C. Pattern of vegetation change
D. Pattern of succession change | 0 | Biology |
The approximate change in the volume of a cube of side \( x \) metres caused by
increasing the side by \( 3 \% \) is :
B. \( 0.6 x^{3} m^{3} \)
D. \( 0.9 x^{3} m^{3} \) | 2 | Maths |
Find the sum of the following arithmetic progressions:
\( 1,3,5,7, \dots . \) to 12 terms | 2 | Maths |
If \( \bar{a}, \bar{b} \) and \( \bar{c} \) are non-zero non collinear vectors and \( \theta(\neq 0, \pi) \) is the angle between \( \bar{b} \) and \( \bar{c} \) if \( (\bar{a} \times \bar{b}) \times \bar{c}=\frac{1}{2}|\bar{b}| \bar{c} \mid \bar{a} \)
then \( \sin \theta= \)
A \( \cdot \sqrt{\frac{2}{3}} \)
B. \( \frac{\sqrt{3}}{2} \)
\( c \cdot \frac{4 \sqrt{2}}{3} \)
D. \( \frac{2 \sqrt{2}}{3} \) | 2 | Maths |
The correct IUPAC name of the following
alkane is ?
A. 3,6 -diethyl-2-methyloctane
B. 5-iso-propyl-3-ethyloctane
C. 5-ethyl-5-iso-propyloctane
D. 3-iso-propyl-6-ethyloctane | 1 | Chemistry |
If \( \mathbf{A}+\left|\begin{array}{cc}\mathbf{4} & \mathbf{2} \\ \mathbf{1} & \mathbf{3}\end{array}\right|=\left|\begin{array}{cc}\mathbf{6} & \mathbf{9} \\ \mathbf{1} & \mathbf{4}\end{array}\right| \) then \( \mathbf{A}= \)
\( \mathbf{A} \cdot\left|\begin{array}{ll}2 & 7 \\ 0 & 1\end{array}\right| \)
\( \mathbf{B} \cdot\left|\begin{array}{ll}0 & 1 \\ 2 & 7\end{array}\right| \)
\( \mathbf{C} \cdot\left|\begin{array}{ll}1 & 0 \\ 2 & 7\end{array}\right| \)
\( \mathbf{D} \cdot\left|\begin{array}{ll}2 & 1 \\ 0 & 7\end{array}\right| \) | 2 | Maths |
The range of a random variable \( \boldsymbol{X} \) is
\{0,1,2\} and given that \( P(X=0)= \)
\( \mathbf{3 c}^{3}, \quad \boldsymbol{P}(\boldsymbol{X}=\mathbf{1})=\mathbf{4 c}- \)
\( \mathbf{1 0 c}^{2}, \quad \boldsymbol{P}(\boldsymbol{X}=\mathbf{2})=\mathbf{5} c-\mathbf{1}, \) find (i)
the value of \( c \)
(ii) \( \boldsymbol{P}(\boldsymbol{X}<\mathbf{1}), \quad \boldsymbol{P}(1<\boldsymbol{X} \leq \)
2) \( , \quad P(0<X \leq 3) \) | 2 | Maths |
The frequency of radiation emitted
when the electron falls from \( n=4 \) to
\( \boldsymbol{n}=\mathbf{1} \) in a hydrogen atom will be (Given
ionisation energy of \( \boldsymbol{H}=\mathbf{2 . 1 8} \times \)
\( 10^{-18} J a t o m^{-1} \) and \( h=6.626 \times \)
\( \left.10^{-34} J-s\right) \)
\( \mathbf{A} \cdot 1.54 \times 10^{15} s^{-1} \)
В. \( 1.03 \times 10^{15} s^{-1} \)
C \( .3 .08 \times 10^{15} s^{-1} \)
D. \( 2 \times 10^{15} s^{-1} \) | 1 | Chemistry |
Which of the following statement is
incorrect?
A. Amylose is water soluble component of starch
B. Amylopectin is water insoluble component of starch
C. \( \alpha \) -D Glucose units are present in amylose and amylopectin
D. None of these | 1 | Chemistry |
Recently, sodium naphthalenide
\( \left.C_{10} H_{8} N a\right) \) has been used as reductant
in complex formation. \( C_{10} H_{8} N a \) is :
This question has multiple correct options
A. paramagnetic
B. deep-green in colour
c. diamagnetic
D. colourless | 1 | Chemistry |
What should be subtracted from \( 2 a+ \)
\( 6 b-5 \) to get \( -3 a+2 b+3 ? \)
A. \( 5+4 b-8 \)
в. \( 5 a+4 b-8 \)
c. \( 5 a+4 a b-8 \)
D. \( 5 a+4 b-10 \) | 2 | Maths |
Which of the following cause green house effect?
(i) Deforestation
(ii) Emission of gases from factories
(iii) Melting of polar ice
A. Only (i) and (ii)
B. Only (i) and (iii)
c. only (ii) and (ii)
D. (i), (ii) and (iii) | 0 | Biology |
The combination of oxygen with haemoglobin is called as
A. Oxidation
B. Oxyhaemoglobin
c. Reduction
D. None of the above | 0 | Biology |
\( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) is treated with marble, it
releases which
A \( \cdot C O_{2}, \) turns lime water milky
B. \( H_{2} \), burns with a pop sound
c. \( O_{2} \), rekindles a burning spirit
D. none of the above | 1 | Chemistry |
You are given a tissue with its potential
for differentiation in an artificial
culture. Which of the following pairs of
hormones would you add to the medium to secure shoots as well as roots?
A. Auxin and abscisic acid
B. Gibberllin and abscisic acid
c. IAA and gibberellin
D. Auxin and cytokinin | 0 | Biology |
Two conducting plates \( A \) and \( B \) are placed parallel to each other at a small
distance between them. Plate A is given
a charge \( q_{1} \) and plate \( B \) is given a
charge \( \boldsymbol{q}_{2} . \) Then :
This question has multiple correct options
A. the outer surfaces of \( A \) and \( B \) (not facing each other) get no charge
B. the inner surfaces of \( A \) and \( B \) (facing each other) get al the charge
C. the inner surfaces of \( A \) and \( B \) (facing each other) get equal and opposite charge of magnitude \( \left|\frac{q_{1}-q_{1}}{2}\right| \)
D. the outer surfaces of \( A \) and \( B \) (not facing each other) get charge of the same polarity and of magnitude
\( \frac{q_{1}+q_{2}}{2} \)
2 | 3 | Physics |
Two marks on a glass rod \( 10 \mathrm{cm} \) apart are found to increase their distance by \( 0.08 \mathrm{mm} \) when the rod is heated from
\( 0^{\circ} \mathrm{C} \) to \( 100^{\circ} \mathrm{C} \). A flask made of the same
glass as that of rod measures a volume
of \( 100 \mathrm{cc} \) at \( 0^{\circ} \mathrm{C} \). The volume it
measures at \( 100^{\circ} \mathrm{C} \) in cc is
A . 100.24
B. 100.12
c. 100.36
D. 100.48 | 3 | Physics |
Match Column-I with Column-II. | 1 | Chemistry |
Identify the substance in each of the following pairs of samples that has the
higher entropy?
(A) \( B r_{2}(l) \) or \( B r_{2}(g) \)
(B) \( C_{2} H_{6}(g) \) or
\( \boldsymbol{C}_{3} \boldsymbol{H}_{8}(\boldsymbol{g}) \)
(C) \( M g O(s) \) or \( N a C l(s) \)
(D) \( K O H(s) \)
or \( \boldsymbol{K} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{a} \boldsymbol{q}) \) | 1 | Chemistry |
State the following statement is True or
False
The area (in sq. units) of the triangle formed by the points with polar coordinates (1,0)\( \left(2, \frac{\pi}{3}\right) \) and \( \left(3, \frac{2 \pi}{3}\right) \)
is \( \frac{5 \sqrt{3}}{4} \)
A. True
B. False | 2 | Maths |
A spherical refractive surface of radius
\( 10 \mathrm{cm} \) separates two media of
refractive indices \( \mu=1 \) and \( \mu=3 / 2 \)
respectively. A point object P starts
from rest at \( t=0 \) with an acceleration
\( 2 \mathrm{cms}^{-2} . \) Find the speed of image at \( t=1 \mathrm{s} \)
A \( \cdot 2 c m s^{-1} \)
B. \( 6 \mathrm{cms}^{-1} \)
\( \mathbf{c} \cdot 3.7 \mathrm{cms}^{-1} \)
D. none of these | 3 | Physics |
About alkali metal - liquid \( \boldsymbol{N} \boldsymbol{H}_{3} \)
solution which of the following statement is not true?
A. Blue colour due to ammoniated electrons
B. Blue colour changes to bronze on dilution due to formation of metal clusters
c. with increse in concentration of alkali metals paramagnetic nature decreases due to electron electron combination
D. on heating blue colour becomes colourless due to formation of metal amide and \( H_{2} \) gas | 1 | Chemistry |
Evaluate \( 8.5 \times 9.5 \) using suitable
standard identity. | 2 | Maths |
Find the coordinates of the foci, the
vertices, the length of major axis, the
minor axis, the eccentricity and the length of the latus rectum of the ellipse \( \frac{x^{2}}{36}+\frac{y^{2}}{16}=1 \) | 2 | Maths |
Zinc corrodes in
\( \mathbf{A} \cdot 2 M \) alkaline solution
B. 2 \( M \) acid solution
C. \( 2 M \) neutral salt solution
D. all of the above | 1 | Chemistry |
The wavelength range of thermal
radiation is
A. from \( 4000 \AA \) to 7000 ,
B. from 7700 A to \( 4 \times 10^{6} \) A
c. from \( 10^{6} \AA \) to \( 10^{8} \AA \)
D. from \( 4 \times 10^{-12} \AA \) to \( 4 \times 10^{8} \AA \) | 3 | Physics |
f \( \tan \theta+\sin \theta=m \) and \( \tan \theta-\sin \theta= \)
\( n, \) then prove that \( m^{2}-n^{2}=4 \sqrt{m n} \) | 2 | Maths |
A player tosses two fair coins. He wins Rs. \( 5 /- \) if two heads occur, \( R s .2 /- \) if one head occurs and \( R s .1 /- \) if no head
occurs. Then his expected gain is
A \( \cdot \) Rs. \( \frac{8}{3} \)
в. \( \operatorname{Rs} . \frac{7}{3} \)
c. \( R s .2 .5 \)
D. Rs.1.5 | 2 | Maths |
What is the basic difference between a
real image and a virtual image?
A. Real image are the image that can be obtained on a screen whereas virtual image cannot be obtained on the screen
B. Virtual image can be obtained on a screen while real images cannot be obtained on a screen
C. Virtual images are formed only in refraction not in reflection while real image can be formed in both
D. Virtual images are formed only in reflection while real image are also only found in refraction | 3 | Physics |
When a certain weight is suspended from a long uniform wire, its length increases by \( 1 \mathrm{cm} \). If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, the
increase in length will be
\( \mathbf{A} \cdot 0.5 \mathrm{cm} \)
B. \( 2 c m \)
\( c .4 c m \)
D. 8 cm | 3 | Physics |
For all real numbers \( b \) and \( c \) such that
the product of \( c \) and 3 is \( b \), the
expression which represents the sum of \( c \) and 3 in terms of \( b \) is
B. \( 3 b+3 \)
\( c \cdot 3(b+3) \)
D. \( \frac{b+3}{3} \)
E \( \cdot \frac{b}{3}+3 \) | 2 | Maths |
The velocity of a particle at an instant is \( 10 \mathrm{m} / \mathrm{s} . \) After 3 sec its velocity will
become \( 16 \mathrm{m} / \mathrm{s} \). The velocity at \( 2 \mathrm{sec} \) before the given instant, will be?
\( \mathbf{A} \cdot 6 \mathrm{m} / \mathrm{s} \)
B. \( 4 \mathrm{m} / \mathrm{s} \)
c. \( 2 \mathrm{m} / \mathrm{s} \)
D. \( 1 \mathrm{m} / \mathrm{s} \) | 3 | Physics |
An external force \( F \) acts horizontally on
a box of mass \( m \) at a height \( h \). If the
\( C M \) of the box is situated at a height \( c \)
find the:
minimum value of \( F \) so as to topple the
box
\( ^{A} \cdot \frac{m g b}{2 h} \)
в. \( \frac{m g b}{b} \)
\( c \cdot \frac{m g b}{3 b} \)
D. \( \frac{m g b}{4 b} \) | 3 | Physics |
Identify the correct increasing order of the stability of the following alkenes,
I.cis-2-butene;
II.trans-2-butene;
III. isobutene:
A. \( I I<I I I<I \)
в. \( I<I I I<I I \)
c. \( I<I I<I I I \)
D. \( I I I<I I<I \) | 1 | Chemistry |
Let \( 0(0,0), P(3,4), Q(6,0) \) be the vertices of the triangle OPQ. The point R inside the triangle OPQ is such that the triangles OPR,PQR, OQR are of equal area. The coordinates of \( \mathrm{R} \) are
\( ^{\mathrm{A}} \cdot\left(\frac{4}{3}, 3\right) \)
в. \( \left(3, \frac{2}{3}\right) \)
c. \( \left(3, \frac{4}{3}\right) \)
D \( \cdot\left(\frac{4}{3}, \frac{2}{3}\right) \) | 2 | Maths |
Assertion
A reaction cannot become fast by itself unless a catalyst is added.
Reason
A catalyst always increases the speed
of a reaction.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 1 | Chemistry |
If the binary operation on the set of integers \( Z, \) defined by \( a \times b=a+3 b^{2} \)
then find the value of \( 8 \times 3 \) | 2 | Maths |
The sum of first 9 terms of an AP is 81
and the sum of its first 20 terms is 400 .
Find the first term and the common
difference of the AP. | 2 | Maths |
ldentify \( \boldsymbol{B} \) | 1 | Chemistry |
If \( f(x)=\sin ^{-1}\left(\frac{2 \times 3^{x}}{1+9^{x}}\right), \) then \( f^{\prime}\left(-\frac{1}{2}\right) \)
\( ^{\mathrm{A}} \cdot \frac{-\sqrt{3}}{2} \log _{e} \sqrt{3} \)
B. \( \frac{\sqrt{3}}{2} \log _{e} \sqrt{3} \)
c. \( -\sqrt{3} \log _{e} 3 \)
D. \( \sqrt{3} \log _{e} 3 \) | 2 | Maths |
If \( f: R \rightarrow R \) such that \( f(x+y)-K x y= \)
\( f(x)+2 y^{2} \) for all \( x, y \in R \) and \( f(1)= \)
\( 2, f(2)=8 \) then \( f(20)-f(10) \)
A. 600
в. 300
c. 60
D. 200 | 2 | Maths |
In a particular season, some birds in our surrounding migrate from long distances. How do they know their way? | 0 | Biology |
Tangent is drawn from (1,0) to \( y=e^{x} \)
then the area bounded between the
coordinate axes and the tangent is
equal to -
A \( \cdot \frac{e}{2} \)
B. \( e \)
\( ^{c} \cdot \frac{e^{2}}{2} \)
\( \mathbf{D} \cdot e^{2} \) | 2 | Maths |
The latent heat of vaporization is than the latent heat of
fusion. Fill in the gap.
A. Greater
B. Smaller
c. same
D. None | 3 | Physics |
Roots of quadratic equation \( 5 x^{2}- \) \( 22 x-15=0 \) are
A \( \cdot_{-5,} \frac{-3}{5} \)
в. \( _{5,} \frac{3}{5} \)
c. \( _{5}, \frac{-3}{5} \)
D. None of these | 2 | Maths |
Four letters mailed today each have a
probability of arriving in two days or sooner equal to \( \frac{2}{3} . \) Calculate the probability that exactly two of the four letters will arrive in two days or sooner.
\( \mathbf{A} \cdot \frac{4}{81} \)
B. \( \frac{16}{81} \)
c. \( \frac{6}{27} \)
D. \( \frac{8}{27} \)
E \( \cdot \frac{4}{9} \) | 2 | Maths |
A die is thrown. Let \( A \) be the event that
the number obtained is greater than 3
Let \( \mathrm{B} \) be the event that the number
obtained is less than 5. Then \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B}) \)
is
A . 1
B. \( \frac{2}{5} \)
c. \( \frac{3}{5} \)
D. | 2 | Maths |
A wire suspended vertically from one of its ends is stretched by attaching a weight of \( 200 \mathrm{N} \) to the lower end. The weight stretches the wire by 1 mm. Then the energy stored in the wire is
A . 0.1
B. 0.2
c. 10
D. 20 | 3 | Physics |
Let \( f(x)=\left\{\begin{array}{cc}-2, & -3 \leq x \leq 0 \\ x-2, & x<x \leq 3\end{array} \) and \right.
\( \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{f}(|\boldsymbol{x}|)+\mid \boldsymbol{f}(\boldsymbol{x}) \)
Which of the following statements are correct?
1. \( g(x) \) is continuous at \( x=0 \)
2. \( g(x) \) is continuous at \( x=2 \)
3. \( g(x) \) is continuous at \( x=-1 \)
Select the correct answer using the code given below
A. 1 and 2 only
B. 2 and 3 only
c. 1 and 3 only
D. 1,2 and 3 | 2 | Maths |
State whether the statement is true or
false :
In the electron dot structure, the
valence shell electron is represented by
cross or dot. | 1 | Chemistry |
Prove the \( \boldsymbol{A}(-\mathbf{5}, \mathbf{4}), \boldsymbol{B}(-\mathbf{1},-\mathbf{2}), \boldsymbol{C}(\mathbf{5}, \mathbf{2}) \)
are the vertices of \( n \) isosceles right
angled triangle? | 2 | Maths |
The Y of a material having a cross sectional area of \( 1 \mathrm{cm}^{2} \) is \( 2 \times 10^{12} \)
dynes/cm \( ^{2} \). The force required to double the length of the wire is:
A \( \cdot 1 \times 10^{12} \) dynes
B. 2 x 10 \( ^{12} \) dynes
c. \( 0.5 \times 10^{12} \) dynes
D. \( 4 \times 10^{12} \) dynes | 3 | Physics |
Th direction of magnetic lines of force of
a bar magnet is:
A. from south to north pole
B. from north to south pole
c. across the bar magnet
D. from south to north pole inside the magnet and from north to south pole outside the magnet | 3 | Physics |
Draw the diagram of electromagnetic
wave | 3 | Physics |
Which of the following cannot undergo
\( E 2 \) reaction?
\( A \)
B.
\( c \)
D. | 1 | Chemistry |
The \( K_{a}-X \) ray of Molybdenum has a
wavelength of \( 71 \times 10^{-12} \) m. If the
energy of a Molybdenum atom with \( \mathrm{K} \) electron removed is \( 23.32 K e V \), then
the energy of Molybdenum atom when
an L-electron removed is:
\( \left(h c=12.42 \times 10^{-7} e V\right) \)
A \( .40 .82 \mathrm{KeV} \)
в. \( 23.32 \mathrm{KeV} \)
\( \mathbf{c} .5 .82 \mathrm{KeV} \)
D. \( 17.5 \mathrm{KeV} \) | 3 | Physics |
The normal to the curve \( 2 x^{2}+y^{2}=12 \)
at the point (2,2) cuts the curve again
at
\( ^{\mathbf{A}} \cdot\left(-\frac{22}{9},-\frac{2}{9}\right) \)
в. \( \left(\frac{22}{9}, \frac{2}{9}\right) \)
c. (-2,-2)
D. none of these | 2 | Maths |
A cricket ball of mass 150 gram moving with a velocity of \( 12 \mathrm{m} / \mathrm{s} \) strikes against the bat. It rebounces with a velocity of \( 20 \mathrm{m} / \mathrm{s} . \) The ball remains in touch with the batfor 0.01 second. The average force
applied by the bat on the ball is
A. 840 Newton
B. 480 Newton
c. 804 Newton
D. 408 Newton | 3 | Physics |
n identical waves each of intensity \( 1_{0} \) interfere with each other. The ratio of
maximum intensities if the
interference is (i) coherent and (ii) incoherent is:
\( \mathbf{A} \cdot n^{2} \)
B.
c. \( \frac{1}{n^{2}} \)
D. | 3 | Physics |
Match the correct pairs of isomers with their examples.
A)Ionisation \( \left.P t\left(N H_{3}\right)_{2} C l_{2}\right]\left[P t\left(N H_{3}\right)_{4}\right] \)
\( \left[P t C l_{4}\right. \)
B) Linkage \( \left[C r\left(N H_{3}\right)_{6}\right]\left[C o(C N)_{6}\right] \& \)
\( \left[C o\left(N H_{3}\right)_{6}\left[C r(C N)_{6}\right]\right. \)
C)Coordination \( \left[\operatorname{Co}\left(N H_{3}\right)_{5}\left(N O_{2}\right)\right] C l_{2} \& \)
\( \left[\operatorname{Co}\left(N H_{3}\right)_{5}(O N O)\right] C l_{2} \)
DPolymerisation \( \left[\mathrm{Co}\left(\mathrm{SO}_{4}\right)\left(\mathrm{NH}_{3}\right)_{5}\right] \mathrm{Br} \& \)
\( \left[\operatorname{Col} \operatorname{Br}\left(N H_{3}\right)_{5}\right] S O_{4} \)
\( A \cdot A->a, B->b, C->c, D \rightarrow d \)
B. \( A->b, B->a, C->d, D \rightarrow C \)
\( c \cdot A->d, B->c, C->b, D \rightarrow a \)
D. \( A->d, B->b, C->c, D \rightarrow a \) | 1 | Chemistry |
Identify the wrong statement about
Mars.
A. It is called the red planet
B. It is the last inner planet
c. It takes 687 days to complete one revolution around the sun
D. It has 3 moons | 3 | Physics |
If liquids \( A \) and \( B \) form an ideal solution,
then :
A. the entropy of mixing will be zero
B. the Gibbs free energy of mixing will be zero
C. the Gibbs free energy as well as the entropy of mixing both will be zero
D. the enthalpy of mixing will be zero | 1 | Chemistry |
Vitamin E is also called:
A. Cyanocobalamin
B. Tocopherol
c. Lactoflavin
D. Ascorbic acid | 1 | Chemistry |
Find the middle term in the expansion of \( (5 x-7 y)^{7} \) | 2 | Maths |
A factor of \( \left(3 x^{4}-12 y^{4}\right) \) is
\( A \cdot 3 \)
B. \( x^{2}-2 y^{2} \)
c. \( x^{2}+2 y^{2} \)
D. All of these | 2 | Maths |
Calculate the heat energy required to convert completely \( 10 \mathrm{kg} \) of water at \( 50^{\circ} \mathrm{C} \) into steam at \( 100^{\circ} \mathrm{C} \), given that the
specific heat capacity of water is \( 4200 J /\left(k g^{\circ} C\right) \) and the specific latent heat of vaporisation of water is
\( 2260 k J / k g \)
A. 30451 KJ
B. 60562 KJ
c. 72103 KJ
D. 24700 KJ | 3 | Physics |
Differentiate with respect to \( x \) :
\( \mathbf{3}^{e^{x}} \) | 2 | Maths |
If four numbers are in A.P. such that
their sum is 60 and the greatest
number is 4 times the least, then the
numbers are
A . 5,10,15.20
B. 4,10,16,22
c. 3,7,11,15
D. None of these | 2 | Maths |
According to Dalton, atoms combine in ratio to form compounds. | 1 | Chemistry |
If the \( 10^{t h} \) term of an A.P. is 52 and the
\( 17^{t h} \) term is 20 more than the \( 13^{t h} \) term,
find the A.P. | 2 | Maths |
What is the absolute value of the difference
between the roots of \( x^{2}+6 x+5=0 ? \) | 2 | Maths |
Find the value of \( x+y \) from the
following equation:
\( \mathbf{2}\left[\begin{array}{cc}\boldsymbol{x} & \mathbf{5} \\ \mathbf{7} & \boldsymbol{y}-\mathbf{3}\end{array}\right]+\left[\begin{array}{cc}\mathbf{3} & \mathbf{- 4} \\ \mathbf{1} & \mathbf{2}\end{array}\right]=\left[\begin{array}{cc}\mathbf{7} & \mathbf{6} \\ \mathbf{1 5} & \mathbf{1 4}\end{array}\right] \) | 2 | Maths |
Which two of the following aldohexoses
give the same osazone derivative?
A. I and IV
B. I and III
c. Il and III
D. III and IV | 1 | Chemistry |
\( 0.2 g \) of fine animal charcoal is mixed
with half litre of acetic acid \( (2 M) \)
solution and shaken for 30 minutes?
A. Concentration remains same
B. Concentration increases
c. concentration of the solution decreases
D. None of above | 1 | Chemistry |
Which of the following pairs will form the most stable ionic bond?
A. \( N a \) and \( C l \)
B. \( M g \) and \( F \)
c. \( L i \) and \( F \)
D. \( N a \) and \( F \) | 1 | Chemistry |
The curved surface area of a
hemisphere of diameter 2 r is
\( \begin{array}{l}\text { A } 2 \pi r^{2} \\ ^{2}+2 r r^{2} \\ ^{2}\end{array}^{2} \)
В. \( 3 \pi r^{2} \)
\( \mathbf{c} \cdot 4 \pi r^{2} \)
D. \( 8 \pi r^{2} \) | 2 | Maths |
How does algal bloom destroy the quality of a fresh water body? Explain. | 0 | Biology |
The distance from the surface of the
earth at which above and below the
surface acceleration due to gravity is
same will be
\( ^{\mathrm{A}} \cdot_{h}=\frac{\sqrt{5}-1}{2} R \)
B. \( h=\frac{\sqrt{3}-1}{2} R \)
c. \( h=\frac{\sqrt{3}-1}{3} R \)
D. None of these | 3 | Physics |