text
stringlengths 1
4.32k
| label
int64 0
3
| label_text
stringclasses 4
values |
|---|---|---|
If \( 6 \operatorname{Sin}^{-1}\left(x^{2}-6 x+12\right)=2 \pi, \) then the
value of \( x, \) is | 2 | Maths |
(a) Write down the general form of the Schrodinger equation and define each of the terms in it.
(b) Solutions to the wave equation that is physically possible must have four special properties.What are they? | 1 | Chemistry |
A man standing on a high bridge over a creek throws a rock straight down. Just as he throws the rock he accidentally drops another rock. Neglecting air resistance, which statement best describes the situation just after the
rocks reach the water?
A. The acceleration of the thrown rock is greater
B. The acceleration of the dropped rock is greater
c. The acceleration of both rocks is same
D. The average velocity of both rocks is the same
E. The final velocity of both rocks is the same | 3 | Physics |
The complete balanced equation is:
\( \boldsymbol{C l}_{2}+\boldsymbol{I O}_{3}^{-}+\boldsymbol{O H}^{-} \rightarrow \boldsymbol{I} \boldsymbol{O}_{4}^{-}+\boldsymbol{C l}^{-}+ \)
\( \boldsymbol{H}_{2} \boldsymbol{O} \)
A \( \cdot C l_{2}+I O_{3}^{-}+2 O H^{-} \rightarrow I O_{4}^{-}+2 C l^{-}+H_{2} O \)
в. \( 4 C l_{2}+I O_{3}^{-}+4 O H^{-} \rightarrow I O_{4}^{-}+C l^{-}+H_{2} O \)
c. \( C l_{2}+I O_{3}^{-}+3 O H^{-} \rightarrow I O_{4}^{-}+2 C l^{-}+H_{2} O \)
D. none of these | 1 | Chemistry |
In India, per capita forest cover is
A . 1.06 ha
B. 0.06 ha
c. 0.6 ha
D. 1.6 ha | 0 | Biology |
\( \beta \) -Elimination or anti-elimination
reaction is carried out with base \( \left(B^{\ominus}\right) \)
as shown.
The following bases are used. \( (I) \stackrel{\ominus}{O} H(I I) R O^{\ominus}(I I I) R C O O^{\ominus} \)
\( (I V) \stackrel{\ominus}{C} N(V) N O_{3}^{\ominus} \)
The decreasing order of reactivity for the above elimination is :
A. \( (I I)>(I)>(I V)>(I I I)>(V) \)
в. \( (V)>(I I I)>(I V)>(I)>(I I) \)
c. \( (I I)>(I)>(I I I)>(I V)>(V) \)
D. \( (I)>(I I)>(I I I)>(I V)>(V) \) | 1 | Chemistry |
If \( A \) be the \( A . M . \) and \( H \) the H.M. between
two numbers \( a \) and \( b \), then show
\( \frac{\boldsymbol{a}-\boldsymbol{A}}{\boldsymbol{a}-\boldsymbol{H}} \times \frac{\boldsymbol{b}-\boldsymbol{A}}{\boldsymbol{b}-\boldsymbol{H}}=\frac{\boldsymbol{A}}{\boldsymbol{H}} \) | 2 | Maths |
The structure of white phosphorus is:
A. square planar
B. pyramidal
c. tetrahedral
D. trigonal planar | 1 | Chemistry |
The unit of molar susceptibility is
A \( \cdot k g^{-1} m^{3} \)
в. \( k g m^{3} \)
\( c \cdot m^{3} \)
D. Unit less | 3 | Physics |
If \( \boldsymbol{A}=\left\{\boldsymbol{x}: \boldsymbol{x}^{2}-\boldsymbol{3} \boldsymbol{x}+\boldsymbol{2}=\boldsymbol{0}\right\} \) and \( \boldsymbol{B}= \)
\( \left\{x: x^{2}+4 x-5=0\right\} \) then the value of
\( A-B \) is
\( \mathbf{A} \cdot\{1,2\} \)
B . \{2\}
\( c \cdot\{1\} \)
D \( \cdot\{5,2\} \) | 2 | Maths |
A train of \( 150 \mathrm{m} \) length is going towards
north direction at a speed of \( 10 \mathrm{ms}^{-1} . \mathrm{A} \)
parrot flies at a speed of \( 5 m s^{-1} \) towards south direction parallel to the railway track. The time taken by the parrot to cross the train is equal to:
A . 12
B. 8 s
\( c \cdot 15 s \)
D. 10 s | 3 | Physics |
Write the properties of hormone. | 1 | Chemistry |
In Fig. voltmeter is not ideal. If the
voltmeter is removed from \( \boldsymbol{R}_{1} \) and then
put across \( R_{2}, \) what will be the effect on
current I? Given \( \boldsymbol{R}_{1}>\boldsymbol{R}_{2} \)
This question has multiple correct options
A . decreases
B. remains same
\( c \). increases
D. it would have been same if voltmeters were idea | 3 | Physics |
If the area of circle increases at a
uniform rate, then prove that the perimeter varies inversely as the radius. | 2 | Maths |
Which of the following carbohydrates is an essential constituent of all cell
walls?
A. Starch
B. Maltose
c. cellulose
D. sucrose | 1 | Chemistry |
Construct a \( 2 \times 2 \) matrix \( A=\left[a_{i j}\right] \)
whose element \( \boldsymbol{a}_{\boldsymbol{i} j} \) is \( \boldsymbol{a}_{\boldsymbol{i} j}=\frac{|\mathbf{2} \boldsymbol{i}-\boldsymbol{3} \boldsymbol{j}|}{\boldsymbol{2}} \) | 2 | Maths |
Which of the following groups of organic compounds represent the proteins present in human blood?
A. Pepsin, trypsin and chymotrypsin
B. Albumins, globulins and prothrombin
c. valine, glycine and alanine
D. Glucose, fructose and galactose | 0 | Biology |
Choose the correct answer from the
alternatives given. The cells constituting walls of blood capillaries are known as:
A. endothelial cells
B. cords
c. oxyntic cells
D. plasma cells | 0 | Biology |
A two-step mechanism has been suggested for the reaction of nitric oxide and bromine. \( N O(g)+B r_{2}(g) \stackrel{K_{1}}{\longrightarrow} N O B r_{2}(g) \)
\( N O B r_{2}(g)+N O(g) \stackrel{K_{2}}{\longrightarrow} 2 N O B r(g) \)
The observed rate law is, rate \( = \)
\( \boldsymbol{k}[\boldsymbol{N} \boldsymbol{O}]^{2}\left[\boldsymbol{B} \boldsymbol{r}_{2}\right] . \) Hence, the rate
determining step is :
A \( \cdot N O(g)+B r_{2}(g) \rightarrow N O B r_{2}(g) \)
в. \( N O B r_{2}(g)+N O(g) \rightarrow 2 N O B r(g) \)
c. \( 2 N O(g)+B r_{2}(g) \rightarrow 2 N O B r(g) \)
D. none of these | 1 | Chemistry |
A two-digit number is thrice as large as the sum of its digits, and the square of that sum is equal to the trippled required number. Find the number | 2 | Maths |
Four elements \( A, B, C \) and \( D \) have atomic
numbers 12,13,14 and 15 respectively
Which of these elements will form the
most basic oxide? | 1 | Chemistry |
The unit vector in the direction of \( \vec{A}= \)
\( \mathbf{3} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}} \) is :
A \( \cdot \hat{A}=\frac{\hat{i}+\hat{j}}{7} \)
B. \( \hat{A}=\frac{3 \hat{i}+4 \hat{j}}{5} \)
c. \( \hat{A}=\hat{i}+\hat{j} \)
D. \( _{\hat{A}}=\frac{4 \hat{i}-3 \hat{j}}{5} \) | 2 | Maths |
A drop of each of the following, is placed separately on four slides. Which one of them will not coagulate?
A. Blood serum
C. Whole blood from pulmonary vein
D. Blood plasma | 0 | Biology |
Number of roots of \( |\sin | x||=x+|x| \) in
\( [-2 \pi, 2 \pi] \) is
\( A \cdot 2 \)
B. 3
\( c \cdot 4 \)
D. 6 | 2 | Maths |
The acceleration due to gravity \( g \) and
density of the earth \( \rho \) are related by
which of the following relations.? (where \( G \) is the gravitational constant
and \( R_{E} \) is the radius of the earth)
\( ^{\mathbf{A}} \cdot_{\rho}=\frac{4 \pi G R_{E}}{3 g} \)
в. \( \rho=\frac{3 g}{4 \pi G R_{E}} \)
c. \( _{\rho}=\frac{3 G}{4 \pi g R_{E}} \)
D. \( \rho=\frac{4 \pi g R_{E}}{3 G} \) | 3 | Physics |
A projectile shot at an angle of \( 45^{\circ} \) above the horizontal strikes the wall of a
building \( 30 m \) away at a point \( 15 m \)
above the point of projection. Initial velocity of the projectile is
\( \left(\operatorname{take} g=9.8 m / s^{2}\right) \)
\( \mathbf{A} \cdot 14 m / s \)
B. \( 14 \sqrt{2} \mathrm{m} / \mathrm{s} \)
c. \( 14 \sqrt{3} \mathrm{m} / \mathrm{s} \)
D. \( 14 \sqrt{5} \mathrm{m} / \mathrm{s} \) | 3 | Physics |
\( \int(\tan x-\cot x)^{2} d x= \)
A \( \cdot \tan x+x+c \)
B. \( \tan x-x+c \)
c. \( \tan x-\cot x+c \)
D. \( \tan x-\cot x-4 x+c \) | 2 | Maths |
If the equilibrium constant for \( N_{2}(g)+ \)
\( O_{2}(g) \rightleftharpoons 2 N O(g) \) is \( K, \) the equilibrium
constant for \( \frac{1}{2} N_{2}(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons \)
\( N O(g) \) will be:
A. \( K \)
B. \( K^{2} \)
c. \( K^{\frac{1}{2}} \)
D・\( \frac{1}{2} K \) | 1 | Chemistry |
Which of the following part/s of the human digestive system involves both chemical and mechanical ways of
digestion?
A. Oesophagus
B. Stomach
c. Mouth
D. Both B and C | 0 | Biology |
Assertion: Amphoteric species acts as either an acid or a base.
Reason: It contains both hydrophobic and hydrophilic regions.
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false | 1 | Chemistry |
Select the correct statement.
A. Secretion is the ejection of waste material from the body
B. Excretion is the release of material within the body.
C. Secretion and excretion both are the movement of unwanted material in the blood.
D. Excretion is the release of unwanted material from the
body | 0 | Biology |
Which of the following is not in the form
of G.P.?
A. \( 2+6+18+54+\dots \)
B. \( 3+12+48+192+\ldots \)
c. \( 1+4+7+10+\dots \)
D. \( 1+3+9+27+\ldots \) | 2 | Maths |
Identify which of the following
statement is correct for acceleration
due to gravity on earth:
A. It is abbreviated with the letter \( R \)
B. It has a magnitude of \( 9.8 \mathrm{cm} / \mathrm{sec}^{2} \) away from the center of earth
C. It has a magnitude of \( 9.8 \mathrm{m} / \mathrm{sec}^{2} \) toward the center of earth
D. Acceleration tends to increase with a greater mass
E. Acceleration tends to decrease with force | 3 | Physics |
\( \mathbf{f} \mathbf{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{0} & -\mathbf{2} \\ \mathbf{2} & \mathbf{- 3} & \mathbf{4}\end{array}\right], \) then the matrix
\( X \) for which \( 2 X+3 A=0 \) holds true is
\( \mathbf{A} \cdot\left[\begin{array}{ccc}-\frac{3}{2} & 0 & -3 \\ -3 & -\frac{9}{2} & -6\end{array}\right] \)
\( \mathbf{B} \cdot\left[\begin{array}{ccc}\frac{3}{2} & 0 & -3 \\ 3 & -\frac{9}{2} & -6\end{array}\right] \)
\( \mathbf{C} \cdot\left[\begin{array}{lll}\frac{3}{2} & 0 & 3 \\ 3 & \frac{9}{2} & 6\end{array}\right] \)
\( ^{\mathrm{D}} \cdot\left[\begin{array}{ccc}-\frac{3}{2} & 0 & 3 \\ -3 & \frac{9}{2} & -6\end{array}\right] \) | 2 | Maths |
The prime cause of altitude sickness in men due to ascent on high mountains
is
A. Excess of \( \mathrm{CO}_{2} \) in blood
B. Decreased efficiency of haemoglobin
c. Decreased partial pressue of oxygen
D. Decreased proportion of oxygen in air | 0 | Biology |
The impulse of a body is equal to:
A. Rate of change of its momentum.
B. Change in its momentum.
C. The product of force applied on it and the time of application of the force.
D. Both (B) and (C) | 3 | Physics |
Identify which of the following light rays has the highest energy?
A . Violet
B. Green
c. Yellow
D. orange
E. Red | 3 | Physics |
Find \( a, b \) such that \( 18, a, b,-3 \) are in
\( \boldsymbol{A P} \) | 2 | Maths |
Let \( A \) and \( B \) be two events such that
\( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B}) \geq \mathbf{3} / \mathbf{4} \) and \( \mathbf{1} / \mathbf{8} \leq \boldsymbol{P}(\boldsymbol{A} \cap \)
\( \boldsymbol{B}) \leq \mathbf{3} / \mathbf{8} \)
Statement
1: \( \boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B}) \geq \mathbf{7} / \mathbf{8} \)
statement
2: \( \boldsymbol{P}(\boldsymbol{A})+\boldsymbol{P}(\boldsymbol{B}) \leq 11 / 8 \)
A. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1
B. Both the statements are TRUE and STATEMENT 2 is not the correct explanation of STATEMENT
c. STATEMENT1 is TRUE and STATEMENT 2 is FALSE
D. STATEMENT1 is FALSE and STATEMENT 2 is TRUE | 2 | Maths |
If \( \boldsymbol{y}=(\boldsymbol{x}+\sqrt{\boldsymbol{x}^{2}+\boldsymbol{a}^{2}})^{n} \) then \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}= \)
\( A \cdot y \)
в. \( n y \)
c. \( \frac{n y}{\sqrt{x^{2}+a^{2}}} \)
D. \( \frac{y}{\sqrt{x^{2}+a^{2}}} \) | 2 | Maths |
Choose the correct answer among the
alternatives given :
The end product of (Q) in the following
sequence of reaction is:
\( A \)
в.
\( c \)
\( D \) | 1 | Chemistry |
The sum of the first n terms of an A.P. is
\( 3 n^{2}+6 n . \) Find the nth term of this A.P. | 2 | Maths |
The resultant of two vectors \( \vec{P} \) and \( \vec{Q} \) is
\( \vec{R} \) If \( \vec{Q} \) is doubled then the new resultant vector is perpendicular to \( \vec{P} \) Then magnitude of \( \overrightarrow{\boldsymbol{R}} \) is:
\( ^{\mathbf{A}} \cdot \frac{P^{2}-Q^{2}}{2 P Q} \)
в. \( Q \)
c. \( \frac{P}{Q} \)
D. \( \frac{P+Q}{P-Q} \) | 3 | Physics |
A very pure form of carbon monoxide
can be obtained from:
A. sodium hexacyanoferrate
B. sodium oxalate
c. formic acid
D. nickel tetracarbony! | 1 | Chemistry |
"If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent". Is the statementt true? Why? | 2 | Maths |
The figure obtained by joining the midpoints of the adjacent sides of a rectangle of sides \( 8 \mathrm{cm} \) and \( 6 \mathrm{cm} \) is
A . a rectangle of area \( 24 \mathrm{cm}^{2} \)
B. a square of area \( 25 \mathrm{cm}^{2} \)
c. a rhombus of area \( 24 \mathrm{cm}^{2} \)
D. a trapezium of area \( 12 \mathrm{cm}^{2} \) | 2 | Maths |
Wolframite ore is separated from
tinstone ore by the process of:
A. roasting
B. electromagnetic separation
c. smelting
D. calcination | 1 | Chemistry |
The density of a metal at normal
pressure is \( \rho . \) It's density when it is
subjected to an excess pressure p is \( \rho \) '.
If \( \mathrm{B} \) is the bulk modulus of the metal,
the ratio \( \rho^{\prime} / \rho \) is :
A. \( \frac{1}{1-p / B} \)
в. \( 1+\frac{P}{B} \)
c. \( \frac{1}{1-B / p} \)
D. \( 1+B / p \) | 3 | Physics |
The empirical formula of a compound is
\( C H_{2} . \) The mass of 1 liter of this gas is exactly equal to that of 1 liter of nitrogen under similar conditions. The molecular
formula of the gas is:
A. \( C_{2} H_{4} \)
в. \( O_{3} H_{6} \)
c. \( C_{6} H_{12} \)
D. \( C_{4} H_{8} \) | 1 | Chemistry |
How many elements in group 14 are
used as semiconductor? | 1 | Chemistry |
The standard Gibbs free energy change,
\( \Delta G^{0} \) is related to equilibrium constant,
\( K_{p} \) as:
A \( . K_{p}=-R T \ln \Delta G^{0} \)
B. \( \quad K_{p}=\left[\frac{e}{R T}\right]^{\Delta G^{0}} \)
\( c \cdot_{K_{p}}=-\frac{\Delta G}{R T} \)
D. \( K_{p}=e^{-\Delta G^{0} / R T} \) | 1 | Chemistry |
Air is a mixture. Prove this statement. | 1 | Chemistry |
A body is dropped form the top of a tower. It falls through 40 m during the last two seconds of its fall.The height of
tower in \( \mathrm{m} \) is \( \left(\boldsymbol{g}=\mathbf{1 0 m} \boldsymbol{s}^{-2}\right) \)
\( A \cdot 45 \mathrm{m} \)
B. 50 \( m \)
c. \( 60 \mathrm{m} \)
D. 80 \( m \) | 3 | Physics |
\( f(m)=2, \) find the value of \( m^{2}-m+1 \) | 2 | Maths |
A train of length \( 200 \mathrm{m} \) traveling at a speed of \( 30 m s^{-1} \) overtakes another
train of length \( 300 \mathrm{m} \) traveling at a speed of \( 20 m s^{-1} \) in the same direction.
The time taken by the first train to pass the second train is:
A. 50 s
B. 10 s
c. \( 20 \mathrm{s} \)
D. 40 | 3 | Physics |
Diabetes insipidus is due to
A. Hyposecretion of vasopressin(ADH)
B. Hypersecretion of insulin
C. Hyposecretion of insulin
D. Hypersecretion of vasopressin (ADH). | 0 | Biology |
\( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{\sin (a+1) x+\sin x}{x} \text { if } x<0 \\ \frac{\left(x+b x^{2}\right)^{\frac{1}{2}-x^{\frac{1}{2}}}}{b x^{3 / 2}} \text { if } x>0\end{array}\right. \)
\( f(0)=c \) is continuous at \( x=0 \) then
A \( \cdot a=\frac{-3}{2}, c=\frac{1}{2}, b \neq 0 \)
B \cdot \( a=b=\frac{1}{2}, c=0 \)
C \( \cdot a=b=\frac{1}{2}, c=0 \)
D \( \cdot a=\frac{1}{2} b \neq 0 c=1 \) | 2 | Maths |
Temperature on the internal energy? | 3 | Physics |
A gaseous hydrocarbon contains \( 85.7 \% \)
carbon and \( 14.3 \% \) hydrogen. 1 liter of the hydrocarbon weighs \( 1.26 \mathrm{g} \) at NTP? Determine the molecular formula of the
hydrocarbon. | 1 | Chemistry |
Solve the given inequalities graphically:
\( \mathbf{3} \boldsymbol{x}+\mathbf{2} \boldsymbol{y} \leq \mathbf{1 2}, \boldsymbol{x} \geq \mathbf{1}, \boldsymbol{y} \geq \mathbf{2} \) | 2 | Maths |
The major product of the reaction is:
\( A \)
B.
\( c \)
\( D \) | 1 | Chemistry |
Name the cavity in the pelvic girdle, into which the head of the femur fits. | 0 | Biology |
When zinc react with dilute sulphuric acid hydrogen is produced in:
A. molecular form
B. combined form
c. nascent form
D. hydrogen will not form | 1 | Chemistry |
Explain why lactose is not absorbed by the small intestine | 0 | Biology |
Amino acids usually exist in the form of zwitter ions. This means that they
consist of:
This question has multiple correct options
A. the basic \( N H_{2} \) group and acidic \( C O O H \) group
B. the basic group and the acidic \( C O O^{-} \) group
c. basic group and acidic group
D. no acidic or basic group as such | 1 | Chemistry |
The enzyme which converts glucose to
glucose- 6 -phosphate is
A. Phosphorylase
B. Glucose phosphorylase
c. Hexokinase
D. Phosphoglucomutase | 0 | Biology |
If \( ^{n} C_{10}=^{n} C_{15}, \) find \( ^{27} C_{n} \) | 2 | Maths |
I a \( \triangle A B C, \angle A=90^{\circ}, C A=A B \) and \( D \) is a
point on AB produced prove that \( \boldsymbol{D} \boldsymbol{C}^{2}=\boldsymbol{B} \boldsymbol{D}^{2}=\boldsymbol{2} \boldsymbol{A} \boldsymbol{B} \times \boldsymbol{A} \boldsymbol{D} \) | 2 | Maths |
In an A.P. the sum of terms equidistant from the beginning and end is equal to? | 2 | Maths |
Under certain circumstances, a nucleus can decay by emitting a particle more massive than an \( \alpha \) -particle. Consider
the following decay processes:
\( 223 R a \rightarrow \frac{209}{82} P b+\frac{14}{6} C \)
88
\( 223 R a \rightarrow 219 R n+4 H e \)
88
Calculate the \( Q \) -values for these decays and determine that both are
energetically allowed. | 3 | Physics |
Match the column. | 1 | Chemistry |
An alternating current generator has an
internal resistance \( \boldsymbol{R}_{\boldsymbol{g}} \) and an internal
reactance \( X_{g} . \) It is used to supply power to a passive load consisting of a
resistance \( \boldsymbol{R}_{g} \) and a reactance \( \boldsymbol{X}_{\boldsymbol{L}} . \) For maximum power to be delivered from the generator to the load, the value of
\( X_{L} \) is equal to
A . zero
в. \( X_{g} \)
c. \( -x_{g} \)
D. \( R_{g} \) | 3 | Physics |
Fluorocarbons are effective scavengers
for ozone due to:
A. photolytic reaction of \( O_{2} \) producing \( C l \) radicals
B. photolytic decomposition of \( O_{3} \) producing \( O \) radicals
C. photolytic decomposition of \( O_{3} \) by \( C l \) radicals into \( O_{2} \)
D. photolytic production of oxides of nitrogen | 1 | Chemistry |
What is a solenoid? Draw the pattern of magnetic field lines of
(i) A current carrying solenoid and
(ii)A bar magnet. List two distinguishing features between the
two fields. | 3 | Physics |
A solenoid \( 60 \mathrm{cm} \) long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A \( 2.0 \mathrm{cm} \) long wire of mass \( 2.5 \mathrm{g} \) lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the
horizontal plane. The wire is connected through two leads parallel to
the axis of the solenoid to an
external battery which supplies a current of \( 6.0 \mathrm{A} \) in the wire. What value
of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? \( g=9.8 m s^{-2} \) | 3 | Physics |
What is the relation between the above
given compounds?
A. Chain isomers
B. Positional isomers
c. Homologs
D. Metamers | 1 | Chemistry |
Which of the following compounds have highest melting point?
A. Only I
B. Only II
c. I and ॥
D. II and III | 1 | Chemistry |
In a transformer, in which the losses
may be neglected, the ratio of the primary voltage to secondary voltage is found to be \( 4: 1 . \) The ratio of the
primary to secondary turns and the ratio of the primary current to secondary current are respectively in
the ratio of :
\( A \cdot 4: 1 \& 1: 4 \)
B. \( 1: 4 \& 4: 1 \)
c. \( 4: 1 \& 4: 1 \)
D. \( 1: 4 \& 1: 4 \) | 3 | Physics |
Assume the dipole model for earth's magnetic field B which is given by thevertical component of magnetic field, \( B_{V}=\frac{\mu_{o}}{4 \pi} \frac{2 m \cos \theta}{r^{3}} \) and the
horizontal component of magnetic field \( B_{H}=\frac{\mu_{o}}{4 \pi} \frac{m \sin \theta}{r^{3}}, \) where \( \theta=90^{\circ}- \)
latitude as measured from magnetic
equator, then the loci of point for which
dip angle is \( \pm \mathbf{4 5}^{\circ} \)
\( \mathbf{A} \cdot \tan ^{-1}(3) \)
\( \mathbf{B} \cdot \tan ^{-1}(2) \)
\( \mathbf{c} \cdot \tan ^{-1}(0.5) \)
\( \mathbf{D} \cdot \tan ^{-1}(1) \) | 3 | Physics |
The magnifications produced by a convex lens for two different positions of
an object are \( m_{1} \) and \( m_{2} \) respectively
\( \left(m_{1}>m_{2}\right) . \) If \( d \) is the distance of
separation between the two positions of the object then the focal length of the lens is
A. \( \sqrt{m_{1} m_{2}} \)
в. \( \frac{d}{\sqrt{m_{1}-m_{2}}} \)
c. \( \frac{d m_{1} m_{2}}{m_{1}-m_{2}} \)
D. \( \frac{d}{m_{1}-m_{2}} \) | 3 | Physics |
Which aortic arch is absent in a frog?
A \( \cdot 1^{s t}, 2 \) and 5 th
B. 3rd and 4 th
c. 3 rd, 4 th and 5 th
D. 5th and 6th | 0 | Biology |
If the temperature is increased, what
will be the effect on the resistance of a
conductor?
A. Does not change
B. Decrease
c. Increase
D. cannot say | 3 | Physics |
The plane \( x=0 \) divides the joinning of (-2,3,4) and (1,-2,3) in the ratio
A .2: 1
B. 1: 2
c. 3: 2
D. -4: 3 | 2 | Maths |
The asymptotes of a hyperbola \( 4 x^{2}- \)
\( 9 y^{2}=36 \) are
A. \( 2 x \pm 3 y=1 \)
в. \( 2 x \pm 3 y=0 \)
c. \( 3 x \pm 2 y=1 \)
D. None | 2 | Maths |
The average of 15 numbers is 18 The average of first 8 is 19 and that last 8 is
17 then the 8 th number is
A . 15
B . 16
c. 18
D. 20 | 2 | Maths |
The state of rest or state of motion of a
body can be changed by using
A. Pressure
B. Force
c. Heat
D. None of these | 3 | Physics |
Write IUPAC names of the given
compounds:
\( C H_{3} \)
\( C H_{3}-C H_{2}-C_{C H_{3}}^{\prime} C-C H_{2} C l \) | 1 | Chemistry |
What helps the snakes to slither?
A. It's streamlined body shape
B. Long backbone and many interconnected muscles
c. Presence of setae
D. None of the above | 0 | Biology |
State the working principle of a potentiometer with the help of the circuit diagram, explain how a potentiometer is used to compare the emf's of the two primary cell obtain the required expression used for comparing
the emf's. | 3 | Physics |
Which of the following statements is/are correct for the Lanthanoids?
A. The 4f electrons do not take part in bonding
B. The 4f electrons can neither be removed to produce ions nor be made to take part in crystal field stabilization of complexes
c. The 4 felectrons in the antepenultimate shell are very effectively shielded by the 5 s and 5 p electrons
D. All of the above | 1 | Chemistry |
Subtract the second expression from the first expression
\( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\boldsymbol{z},-\boldsymbol{x}-\boldsymbol{y}-\mathbf{3} \boldsymbol{z} \) | 2 | Maths |
The family Fabaceae is alternatively known as
A. Leguminosae
B. Solanaceae
c. compositae
D. Malvaceae | 0 | Biology |
The permanganate ion is an excellent oxidizing agent in aqueous solutions.
When the half reaction, \( M n O_{4}^{-}+ \)
\( \boldsymbol{H}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{2}+\boldsymbol{H}_{2} \boldsymbol{O} \) is
balanced, the correct coefficients for the species involved are:
A. 1,4,4,1,2
B. 1,4,2,1,2
c. 1,4,3,1,2
D. 1,4,1,1,2 | 1 | Chemistry |
Iron sheets are covered with a layer of Zinc i.e., galvanized mainly to
A. harden the surface
B. increase the surface
c. prevent action of water only
D. prevent action of oxygen and water | 1 | Chemistry |
Match process (in List I) with
electrolytes (in List II). | 1 | Chemistry |
Flow of blood in the ventral vessel of
earthworm is
A. Forward
B. Backward
c. Backward in half of it and forward in another half
D. All of these | 0 | Biology |
A particle of charge \( 16 \times 10^{-18} C \)
moving with velocity \( 10 m / s \) along the
X-axis enters a region where a
magnetic field of induction \( B \) is along the \( Y \) -axis, and an electric field of
magnitude \( 10 V m^{-1} \) is along the negative Z-axis. If the charged particle continues moving along the X-axis, the
magnitude of \( B \) is :
A \( \cdot 1 W b / m^{2} \)
B . \( 10^{5} \mathrm{Wb} / \mathrm{m}^{2} \)
\( \mathbf{c} \cdot 10^{6} W b / m^{2} \)
D. \( 10^{-3} W b / m^{2} \) | 3 | Physics |
Define Henry's law. | 1 | Chemistry |
Prove
If \( A \) and \( B \) are \( n \) squared skew
symmetrics matrices then \( \boldsymbol{A B} \) is
symmetric if and only if \( \boldsymbol{A} \) and \( \boldsymbol{B} \)
commute. | 2 | Maths |
Identify the group of plants possessing leaf tendrils.
A. Pea, Glory lily
B. Cucumber, Pumpkin
c. watermelon, Grapevine
D. All of these | 0 | Biology |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.