text
stringlengths
1
4.32k
label
int64
0
3
label_text
stringclasses
4 values
Biospecies concept was propounded by A. Ernst Mayr B. Darwin c. simpson D. Aristole
0
Biology
Hydrogen bomb is based on the principle of: A. nuclear fission B. natural radioactivity c. nuclear fusion D. artificial radioactivity
3
Physics
Median of the odd divisors of 360 is A. the mean of 3 rd and 4 th item B. the mean of 4 th and 5 th item c. the mean of 5 th and 6 th item D. none of these
2
Maths
Which of the following is the correct form of Schrodinger wave equation? A \( \cdot \frac{\partial^{2} \Psi}{\partial^{2} x}+\frac{\partial^{2} \Psi}{\partial^{2} y}+\frac{\partial^{2} \Psi}{\partial^{2} z}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \) B \( \cdot \frac{\partial^{2} \Psi}{\partial x^{2}}+\frac{\partial^{2} \Psi}{\partial y^{2}}+\frac{\partial^{2} \Psi}{\partial z^{2}}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \) C \( \cdot \frac{\partial \Psi^{2}}{\partial x^{2}}+\frac{\partial \Psi^{2}}{\partial y^{2}}+\frac{\partial \Psi^{2}}{\partial z^{2}}+\frac{8 \pi^{2} m}{h^{2}}(E-V) \Psi=0 \) D \( \cdot \frac{\partial^{2} \Psi}{\partial x^{2}}+\frac{\partial^{2} \Psi}{\partial y^{2}}+\frac{\partial^{2} \Psi}{\partial z^{2}}+\frac{8 \pi^{2} m^{2}}{h^{2}}(E-V) \Psi=0 \)
1
Chemistry
Two charges each of \( +Q \) units are placed along a line. A third charge \( -q \) is placed between them. At what position and for what value of \( q, \) will the system be in equilibrium?
3
Physics
Explain the laboratory method for preparation of hydrogen peroxide.
1
Chemistry
Which of the following statements has the truth value \( ^{\prime} F^{\prime} ? \) A. A quadratic equation has always a real root B. The number of ways of seating 2 persons in two chairs out of \( n \) persons in \( P(n, 2) \) C. The cube roots of unity are in GP D. None of the above
2
Maths
The resistance of a heating element is \( 99 \Omega \) at room temperature. What is the temperature of the element if the resistance is found to be \( 116 \Omega ? \) (Temperature coefficient of the material of the resistor is \( 1.7 \times 10^{-4} o C^{-1} \) ). A \( \cdot 9999^{\circ} \mathrm{C} \) B . \( 1005.3^{\circ} \mathrm{C} \) \( \mathbf{c} \cdot 1020.2^{\circ} \mathrm{C} \) D. \( 1037.1^{\circ} \mathrm{C} \)
3
Physics
If \( a, b \) are constants then, \( V a r(a+b X) \) is A. \( \operatorname{Var}(a)+\operatorname{Var}(X) \) B. \( \operatorname{Var}(a)-\operatorname{Var}(X) \) \( \mathbf{c} \cdot b^{2} \operatorname{Var}(X) \) D. None of these
2
Maths
In a multiple choice question, there are four alternative answer of which one or more than one is correct. A candidate will get marks on the question only if he ticks all the correct answer. The candidate decides to tick all the correct answer. The candidate decides to tick answers at random. If he is allowed up to three chances to answer the question, the probability that he will get marks on it is \( A \cdot \frac{1}{2} \) B. \( c \cdot \frac{1}{4} \) D. 5
2
Maths
If \( z_{1}=a+i b \) and \( z_{2}=c+i d \) are complex numbers such tat \( \left|z_{1}\right|= \) \( \left|z_{2}\right|=1 \& R e\left(z_{1} \overline{z_{2}}\right)=0, \) then the pair of complex numbers \( \boldsymbol{w}_{1}=\boldsymbol{a}+\boldsymbol{i} \boldsymbol{c} \) and \( \boldsymbol{w}_{2}=\boldsymbol{b}+\boldsymbol{i} \boldsymbol{d} \) satisfies - This question has multiple correct options \( \mathbf{A} \cdot\left|w_{1}\right|=1 \) B \( \cdot\left|w_{2}\right|=1 \) \( \mathbf{c} \cdot \operatorname{Re}\left(w_{1} \overline{w_{2}}\right)=0 \) D. None of these
2
Maths
lonic hydride reacts with water to give: A. hydride ions B. acidic solution c. protons D. basic solution
1
Chemistry
The reptile which lacks penis belongs to A. ophidia B. crocodilia c. Gymnophiona D. Rhynchocephalia
0
Biology
In the Boolean algebra, the following one is wrong A . \( 1.0=0 \) B. \( 0.1=0 \) c. \( 1.1=0 \) D. \( 1.1=1 \)
3
Physics
There are 3 balls of same shape and size made of wood, iron and plastic. Which one of them would have highest inertia? A. wood B. Iron c. Plastic D. None of these
3
Physics
toppr Q Type your question volume. I ne cyıınaer nas a cnarge per unit length of \( \lambda \) A Gaussian surface is imagined that is also shown in the diagram. This Gaussian surface is also a cylinder having the same axis as the charged cylinder. The Gaussian cylinder's radius is \( a, \) where \( a<R, \) and its length is \( L \) What is the charge enclosed in the Gaussian cylinder? \( ^{\mathbf{A}} \cdot Q_{e n c}=\lambda \frac{a}{R} \) \( ^{\mathrm{B}} \cdot_{e n c}=\lambda L \frac{a}{R} \) \( \mathrm{C}_{e n c}=\lambda L \frac{a^{3}}{R^{3}} \) \( \mathrm{D} \cdot \mathrm{Q}_{e n c}=\lambda \frac{a^{3}}{R^{3}} \) \( \mathrm{E} \cdot Q_{e n c}=\lambda L \frac{a^{2}}{R^{2}} \)
3
Physics
Assimilatory power refers to the A. Generation of ATP and NADPH \( _{2} \) B. Reduction of \( \mathrm{CO}_{2} \) C . Splitting of water D. Disintegration of plastids
0
Biology
Hypermetropia is due to the of the eye. A. low converging power B. low diverging power c. high converging power D. high diverging power
3
Physics
Is sphere, a \( 2 D \) or a \( 3 D \) object? A . \( 2 D \) в. \( 3 D \) c. Does not exist in both planes D. None of the above
2
Maths
Removal of water molecule from the substrate is called A. Enolation B. Phosphorylation c. Decarboxylation D. Oxidation
0
Biology
A ray passing with which part of a lens emerges undeviated ? A. Focus B. Centre of curvature c. optical centre D. Between focus and centre of curvature
3
Physics
Number of Bonds present in \( N_{2} O_{3} \) molecule is : \( A \cdot 2 \) B. 4 \( c \cdot 6 \) D. 8
1
Chemistry
Find the derivative of the following function from first principle: \( -x \)
2
Maths
Figure shows a composite system of two uniform rods of lengths as indicated. If both the rods are of same density. Then the coordinates of the centre of mass of the system of rods are: A \( \cdot\left(\frac{L}{2}, \frac{2 L}{3}\right) \) B \( \cdot\left(\frac{L}{4}, \frac{2 L}{3}\right) \) c. \( \left(\frac{L}{6}, \frac{2 L}{3}\right) \) D. \( \left(\frac{L}{6}, \frac{L}{3}\right) \)
3
Physics
A particle of charge \( q \) and mass \( m \) moves in a circular path of radius \( r \) in a uniform magnetic field \( B \). The particle is replaced with a particle of identical charge and mass \( \frac{1}{2} m \) The radius of the new circular path the particle makes is: A \( \cdot \frac{1}{4} r \) в. \( \frac{1}{2} r \) c. \( r \) D. \( 2 r \) E . \( 4 r \)
3
Physics
What is incorrect about the given structure? This question has multiple correct options \( A \). It has six D.U B. It has ten \( s p^{2} \) hybrid C-atom C. It has ten \( s p^{2}-s p^{2} \) C-C \( \sigma \) bond D. All are correct.
1
Chemistry
Comet is an object with a head and a \( _{-}-_{-}-_{-}-_{-}- \) tail. A. pale, long B. bright, long c. pale, short D. bright, short
3
Physics
The terms order and molecularity are common in chemical kinetics. (a) What do you mean by order and molecularity? (b) (i) Write two factors influencing rate of a reaction. (ii) Write Arrhenius equation.
1
Chemistry
The voltage across the electrodes of a cathode ray tube is 500 V. Then the speed of the electron is A \( \cdot 2.6 \times 10^{7} m s^{-1} \) B. \( 1.33 \times 10^{7} m s^{-1} \) \( \mathbf{c} \cdot 2.8 \times 10^{7} m s^{-1} \) D. \( 1.9 \times 10^{7} \mathrm{ms}^{-1} \)
3
Physics
Very short answer type: State one advantage and one disadvantage of cleistogamy.
0
Biology
When a constant potential difference is maintained between the ends of a conductor A. A steady current flows through the conductor B. A current density is established at every point inside the conductor c. An electric field is established inside the conductor D. All are true
3
Physics
\( 7 / 8 \) fraction of a sample disintegrates in 't' time, how much time it will take to disintegrate \( 15 / 16 \) fraction? \( \mathbf{A} \cdot \mathbf{t} \) B. \( 4 / 3 t \) \( c \cdot 5 / 3 t \) D. 2t
3
Physics
How to divide the equation in algebraic expression
2
Maths
An electric charge of 5 Faraday's is passed through three electrolytes \( A g N O_{3}, C u S O_{4} \) and \( F e C l_{3} \) solution The grams of each metal liberated at cathode will be: A. \( A g=10.8 g, C u=12.7 g, F e=1.11 g \) в. \( A g=540 g, C u=367.5 g, F e=325 g \) c. \( A g=108 g, C u=63.5 g, F e=56 g \) D. \( A g=540 g, C u=158.8 g, F e=93.3 g \)
1
Chemistry
The diagram below shows a positively charged particle moving toward the right and about to enter a magnetic field whose direction is shown by the blue arrows. What is the direction of the force on the positively charged particle (from our point of view) at the instant it enters the magnetic field? A . right B. left c. up D. toward us E. away from us
3
Physics
What is Quiescent stage in cell division \( ? \)
0
Biology
\( \lim _{x \rightarrow 0} \frac{\tan ^{4} x-\sin ^{4} x}{x^{4}}= \) A . 0 B. \( c \cdot \frac{2}{3} \) D.
2
Maths
Explain the cleansing action of soap.
1
Chemistry
The rate of the reaction \( \boldsymbol{A}+\boldsymbol{B}_{2} \rightarrow \) \( A B+B ; \) is directly proportional to the concentration of \( A \) and independent of concentration of \( B_{2} \), hence, rate law is: \( \mathbf{A} \cdot k[A]\left[B_{2}\right] \) \( \mathbf{B} \cdot k[A]^{2}\left[B_{2}\right] \) c. \( k[A] \) D. \( k\left[B_{2}\right] \)
1
Chemistry
A uniform sphere of mass \( m \) and radius \( r \) rolls without sliding over a horizontal plane, rotating about a horizontal axle OA. In the process, the centre of the sphere moves with a velocity \( v \) along a circle of radius \( R \) Find the kinetic energy of the sphere.
3
Physics
Which pair of following forces will never give resultant force of \( 2 \mathrm{N} \) A. \( 2 \mathrm{N} \) and \( 2 \mathrm{N} \) B. 1 N and 1 N c. \( 1 \mathrm{N} \) and \( 3 \mathrm{N} \) D. \( 1 \mathrm{N} \) and \( 4 \mathrm{N} \)
3
Physics
In optical fibre,which of the following principles is used? A. scattering B. refraction c. successive reflections D. total internal reflection
3
Physics
The ratio in which the line \( 3 x+4 y+ \) \( 2=0 \) divides the distance between \( 3 x+4 y+5=0 \) and \( 3 x+4 y-5=0 \) A .7: 3 B. 3: 7 \( c \cdot 2: 3 \) D. None of these
2
Maths
Heats of combustion of methane, carbon and hydrogen are 212,94,68 kcal mol \( ^{-1} \) The heat of formation of \( C H_{4} \) is: B. +18 kcal mol \( ^{-1} \) c. -9 kcal mol \( ^{-1} \) D. None of these
1
Chemistry
The number of primary amines of formula \( C_{4} H_{11} N \) is: \( A \cdot 2 \) B. \( c \cdot 4 \) D. 3
1
Chemistry
Carrot root phloem bioassay is a device for A . Auxin B. ABA c. wound hormone D. cytokinin
0
Biology
The direction cosines of a vector \( \hat{\boldsymbol{i}}+ \) \( \hat{\boldsymbol{j}}+\sqrt{\mathbf{2}} \hat{\boldsymbol{k}} \) are A \( \cdot \frac{1}{2}, \frac{1}{2}, 1 \) B. \( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{2} \) c. \( \frac{1}{2}, \frac{1}{2}, \frac{1}{\sqrt{2}} \) D. \( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}} \)
2
Maths
The distance \( x \) covered in time \( t \) by a body having initial velocity \( v_{0} \) and having constant acceleration \( a \) is given by \( \boldsymbol{x}=\boldsymbol{v}_{0} \boldsymbol{t}+\mathbf{1} / \mathbf{2} \boldsymbol{a} \boldsymbol{t}^{2} . \) This result follows from : A. newton's Ist law B. newton's IInd law c. newton's IIIrd law D. none of the above
3
Physics
Assertion (A): In the synthesis of ammonia by Haber's process, mixture of potassium and aluminium oxides can be used as promoter. Reason (R): Promoter enhances the activity of catalyst. A. Both (A) and (R) are true and (R) is the correct explanation of (A) B. Both (A) and (R) are true and (R) is not the correct explanation of \( (A) \) c. (A) is true and (R) is false D. (A) is false but (R) is true
1
Chemistry
The speed of transverse wave on a stretched string is: A. directly proportional to the tension in the string B. directly proportional to the square root of the tension C. inversely proportional to tension D. inversely proportional to square root of tension
3
Physics
Three waves of equal frequency having amplitudes \( 10 m m, 4 m m \) and \( 7 m m \) arrive at a given point with successive phase difference \( \frac{\pi}{2} . \) The amplitude of the resulting wave (in \( \mathrm{mm} \) ) is given by: A . 7 B. 6 c. 5 D. 4
3
Physics
Draw the graph of the equation \( 2 x+ \) \( \mathbf{3} \boldsymbol{y}+\boldsymbol{6}=\mathbf{0} \)
2
Maths
When an object is placed between optical centre and focus of lens: A. Inverted, real and enlarged image is formed B. Virtual, erect and enlarged image is formed c. Inverted, erect, diminished image is formed D. Virtual, real, diminished image is formed
3
Physics
Chemical analysis of phloem shows the presence of A. More amount of carbohydrates B. organic nitrogenous compounds c. Minerals D. Both A and B
0
Biology
\( x \) cnanges Its pıtch so that It IS rIyıng \( 100 m / s \) in an area of the Earth's magnetic field that is perpendicular to the plane and equal to \( 5.010^{5} T \) What is the emf induced between the wing tips? Assume that the plane was previously flying parallel to the earths magnetic field. A. \( 0.12 \mathrm{v} \) B. 0.20 c. \( 1.2 v \) \( D \)
3
Physics
In domestic sewage, suspended solids, colloidal and dissolved materials constitute A . \( 10 \% \) B. \( 5.6 \% \) \( c .2 .7 \% \) D. \( 0.1 \% \)
0
Biology
If the value of \( 103.5 \mathrm{kg} \) is rounded off to three significant figures, then the value is A \( \cdot 103 \) B. 103.0 \( c \cdot 104 \) D. 10.3
3
Physics
'The specific latent heat of fusion of ice is A \( \cdot 136 . J g^{-1} \) в. \( 236 . J g^{-1} \) c. \( 336 J g^{-1} \) D. \( 436 J g^{-1} \)
3
Physics
A species of an element \( A \) has a net charge of -1 and it has 18 electrons and 20 neutrons. Identify the correct statements. This question has multiple correct options A . Its symbol will be \( _{17}^{3 \mathrm{A}} \) B. Its atomic number is 18 c. The number of protons are 17 D. Its mass number is 38
1
Chemistry
The slope of plate characteristic and mutual characteristic curves of a triode value is \( 0.02 \mathrm{mA} / \mathrm{V} \) and \( 1 \mathrm{mA} / \mathrm{V} \). The amplification factor of triode value is: A \( .2 \times 10^{8} \) B. 20 c. 50 D. 40
3
Physics
Which of the following is incorrectly matched? A . alkali metal \( \rightarrow \) cesium B. alkali earth metal \( \rightarrow \) barium c. chalcogens \( \rightarrow \) silicon D. halogon \( \rightarrow \) iodine
1
Chemistry
The apparent molar mass of \( \boldsymbol{P C l}_{5} \) on dissociation shows lower value. If true enter 1 , if false enter 0 .
1
Chemistry
Which of the following elements forms double or triple bonds involving \( \boldsymbol{p}-\boldsymbol{p} \) bonding? A. Carbon B. Silicon c. Germanium D. Tin
1
Chemistry
In half wave rectifier, a p-n diode with internal resistance \( 20 \Omega \) is used. If the load resistance of \( 2 K \Omega \) is used in the circuit, then the efficiency of this half wave rectifier is (in percentage)
3
Physics
If the slope of the line passing through the points \( (2, \sin \theta) \) and \( (1, \cos \theta) \) is 0 then the general solution of \( \theta \), is A \( \cdot n \pi+\frac{\pi}{4}, \forall n \in Z \) B \( \cdot n \pi-\frac{\pi}{4}, \forall n \in Z \) c. \( _{n \pi \pm} \frac{\pi}{4}, \forall n \in Z \) D. \( n \pi, \forall n \in Z \)
2
Maths
If \( A \) is a skew-symmetric matrix, then trace of \( \boldsymbol{A} \) is
2
Maths
The percentage of metals in a mine of lead ore is \( 60 \% . \) Now the percentage of silver is \( \frac{3}{4} \% \) of metals and the rest is lead. If the mass of ore extracted from this mine is \( 8000 k g \), the mass (in kg.) of lead is: A. 4763 в. 4764 c. 4762 D. 476
2
Maths
A long silver tea spoon is placed in a cup filled with hot tea. After some time, the exposed end (the end which is not dipped in tea) of the spoon becomes hot even without a direct contact with the tea. This phenomenon can be explained mainly by A. conduction B. reflection c. radiation D. thermal expansion
3
Physics
To make a p-njunction conducting A. The value of forward bias should be more than the barrier potenital B. The value of forward bias should be less than the barrier potential C. The value of revers bias should be more than the barrier potential D. The value of revers bias should be less than the barrier potential
3
Physics
Arrange the following elements in increasing order of their size. \( \mathbf{V}, \mathrm{Nb}, \mathrm{Ta}, \mathrm{Db} \) A. \( v<\mathrm{Nb}=\mathrm{Ta} \approx \mathrm{Db} \) B. \( D b<N b= \) Ta \( \approx V \) c. \( \mathrm{Ta}<\mathrm{Nb}=\mathrm{v} \approx \mathrm{Db} \) D. None of these
1
Chemistry
mole of \( \boldsymbol{P C l}_{5} \) is heated with 0.2 mole of chlorine in a one litre vessel till equilibrium is established.At equilibrium if 0.8 mole of chlorine is present in the vessel, the equilibrium constant for the dissociation of \( \boldsymbol{P C l}_{5} \) is: A. 0.9 B. 1.8 c. 1.2 D. 0.5
1
Chemistry
An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If \( T_{i} \) is the initial temperature and \( T_{f} \) is the final temperature, which of the following is correct? \( \mathbf{A} \cdot T_{f}>T_{i} \) for reversible process but \( T_{f}=T_{i} \) for irreversible process B . \( \left(T_{f}\right) \) rev \( =\left(T_{f}\right) \) irrev C. \( T_{f}=T_{i} \) for both reversible and irreversible process D. \( \left(T_{i}\right) \) irrev \( >\left(T_{f}\right) \) rev
1
Chemistry
In the figure given above, \( A B \) is paralle to \( C D . \) If \( \angle D C E=x \) and \( \angle A B E=y \) then what is \( \angle C E B \) equal to? A \( \cdot y-x \) в. \( \frac{(x+y)}{2} \) c. \( x+y-(\pi / 2) \) D. \( x+y-\pi \)
2
Maths
Choose the correct answer from the alternative given. Complete the following reactions. \( (i) M n O_{4}^{-}+2 H_{2} O+3 e^{-} \rightarrow \) \( +40 H^{-} \) \( (i i) M n O_{4}^{-}+8 H^{+}+5 e^{-} \rightarrow \) \( +4 H_{2} O \) \( (i i i) M n O_{4}^{-}+e^{-} \rightarrow \) \( \mathbf{A} \cdot M n O_{2}, M n^{2+}, M n O_{4}^{2} \) B. \( M n^{2+}, M n O_{2}, M n O_{4}^{2} \) c. \( M n O_{4}^{2-}, M n^{2+}, M n O_{4}^{2} \) D. \( M n O_{2}, M n O_{4}^{2-}, M n^{2+} \)
1
Chemistry
Prabhani Kranti is I) Okra variety resistant to shoot and fruit borer II) Bhindi resistant to yellow mosaic virus III) A wild varity of bhindi IV) Produced by sexual hybridization A. I, I li and III only correct B. II and IV only correct c. III and IV only correct D. I and II only correct
0
Biology
Q Type your question- particle is attached to the cylinder by a horizontal thread \( A B \) as shown in the figure. The particle initially rest on horizontal plane. A horizontal velocity \( \boldsymbol{v}_{0} \) is imparted to the particle, normal to the threading during subsequent motion. Point out the false statements: This question has multiple correct options A. Angular momentum of particle about \( O \) remains constant B. Angular momentum about \( B \) remains constant c. Momentum and kinetic energy both remain constant D. Kinetic energy remains consta
3
Physics
Formation of alkane by the action of zinc on alkyl halide is called: A. Wurtz reaction. B. Kolbe's reaction c. UImann's reaction. D. Frankland reaction
1
Chemistry
A chord is \( 8 \mathrm{cm} \) away from the centre of a circle of radius \( 17 \mathrm{cm} . \) Find the length of the chord.
2
Maths
The Doppler effect is applicable for A . Light waves only B. Sound waves only c. Both light and sound waves D. None of the above
3
Physics
In optical instruments, the lenses are used to form images by : A. Reflection B. Refraction c. Dispersion D. Scattering
3
Physics
\( \boldsymbol{x}+\boldsymbol{y}+\boldsymbol{z}=\mathbf{1} \)
2
Maths
Q Type your question made to reaci with anute nul tads r is evolved in the reaction which is made to pass through the delivery tube into test tube 2 having solution \( Z \) and a milky solution is obtained What are \( X, Y \) and \( Z \) respectively? A. \( N a O H, C O_{2}, N a_{2} C O_{3} \) в. \( \operatorname{Ca}(O H)_{2}, H_{2}, C a\left(H C O_{3}\right)_{2} \) c \( \cdot \operatorname{ca}(O H)_{2}, C O_{2}, C a C O_{3} \) D \( \cdot \) \( _{C a} \) a \( C \) O \( _{3}, \) C \( O_{2}, C a(O H)_{2} \)
1
Chemistry
A line with direction cosines proportional to 2,1,2 meets each of the line \( \boldsymbol{x}=\boldsymbol{y}+\boldsymbol{a}=\boldsymbol{z} \) and \( \boldsymbol{x}+\boldsymbol{a}=\boldsymbol{2} \boldsymbol{y}= \) 2 \( z \). The co-ordinates of each of the points of intersection are given by: A. \( (3 a, 3 a, 3 a),(a, a, a) \) в. \( (3 a, 2 a, 3 a),(a, a, a) \) c. \( (3 a, 2 a, 3 a),(a, a, 2 a) \) D. \( (2 a, 3 a, 3 a),(2 a, a, a) \)
2
Maths
The least count of a stop watch is 0.2 second. The time of 20 oscillations of a pendulum is measured to be 25 seconds. The percentage error in the time period is A . \( 16 \% \) B. 0.8 \% c. \( 1.8 \% \) D. 8\%
3
Physics
A point charge \( Q \) is located at the center of the hollow spherical conductor of inner radius \( \boldsymbol{R}_{1} \) and outer radius \( \boldsymbol{R}_{2} \) the conductor being uncharged initially The potential at the inner surface will be A \( \cdot K Q\left[\frac{1}{R_{1}}+\frac{1}{R_{2}}\right] \) В \( \cdot K Q\left[\frac{1}{R_{1}}-\frac{1}{R_{2}}\right] \) c. \( K Q\left[\frac{1}{R_{2}}-\frac{1}{R_{1}}\right] \) D. None of these
3
Physics
One conducting U tube can slide inside another as shown in figure, maintaining electric contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant speed \( v \) then the emf induced in the circuit in terms of \( \mathrm{B}, l \) and \( \mathrm{v} \) where \( l \) is the width of each tube, will be A . -Blv в. Вlv c. 2 вlv D. zero
3
Physics
A ball is dropped from a height \( h \) on a floor of coefficient of restitution \( e \). The total distance covered by the ball just before second hit is A \( \cdot h\left(1-2 e^{2}\right) \) B \( \cdot h\left(1+2 e^{2}\right) \) c. \( h\left(1+e^{2}\right) \) \( D \cdot h e^{2} \)
3
Physics
An electron gun with its collector at a potential of \( 100 \mathrm{V} \) fires out electrons in a spherical bulb containing hydrogen gas at low pressure \( \left(\sim 10^{-2} \mathrm{mm} \text { of } \mathrm{Hg} \text { ). } \mathrm{A}\right. \) magnetic field of \( 2.83 \times 10^{4} T \) curves the path of the electrons in a circular orbit of radius 12.0 cm. (The path can be viewed because the gas ions in the path focus the beam by attracting electrons, and emitting light by electron capture; this method is known as the fine beam tube method.) Determine e/m from the data.
3
Physics
Which of the following forms a homologus series? A. Ethane, ethylene, acetylene B. Ethane, propane, butanol c. Methanal, ethanol, propanoic acid D. Butane, 2 - Methylbutane, 2, 3 - Dimethyl butane
1
Chemistry
In a moving coil galvanometer a radial magnetic field is applied with concave magnetic poles, to have A) uniform magnetic field B) the plane of the coil parallel to field Choose the correct option among the following A. both A and B are true B. both A and B false c. A is true, B is false D. A is false, B is true
3
Physics
The Van't Hoff factor of \( 0.1 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \) solutions is \( 2.74 . \) The degree of dissociation will be A . 91.3\% B. 87\% c. \( 100 \% \) D. 74\%
1
Chemistry
The minimum height required to convert the stored potential energy of water into electric energy is \( \mathbf{A} \cdot 54 M \) B. \( 34 M \) c. \( 100 M \) D. \( 5 ~ M \)
3
Physics
A generator with a circular coil of 100 turns of area \( 2 \times 10^{-2} m^{2} \) is immersed in a \( 0.01 T \) magnetic field and rotated at a frequency of \( 50 H z . \) The maximum emf which is produced during a cycle is \( \mathbf{A} \cdot 6.28 V \) B . \( 3.44 V \) \( c \cdot 10 V \) D. \( 1.32 V \)
3
Physics
Carbon dioxide acceptor in \( C_{3} \) plants is A. PEP B. RuBP. c. PGA D. NADP.
0
Biology
Two neutral conducting spheres are next to each other and touching each other, They are also each separated from the table with an insulating stand. Then, a negatively charged rod is brought near, but not touching, sphere A. The two spheres are then separated by touching only their insulating base Finally, the charged rod is removed. What are the charges of sphere \( A \) and sphere B? A. Sphere A is positive while sphere B is negative B. Sphere A is negative while sphere B is positive c. Both spheres are positively charged. D. Both spheres are negatively charged
3
Physics
The chemical substances used to bring down body temperature in a high fever are known as:
1
Chemistry
What happens to the current in the external circuit when a battery ages? A. Remain the same B. Polarize c. Reverse direction D. Increase E. Decrease
3
Physics
\( A B C D \) is parallelogram. \( L \) and \( M \) are points on \( A B \) and \( D C \) respectively such that \( A L=C M . \) The diagonal \( B D \) intersects \( L M \) at point \( O . \) If \( A B= \) \( 14 c m, A D=9 c m \) and \( L O=5 c m, \) find the length of \( M O \)
2
Maths
Which of the following has the highest mass? A. 1 mole of \( C \) atoms в. \( \frac{1}{2} \) mole of \( C H_{4} \) c. \( 10 \mathrm{ml} \) of water D. \( 3.011 \times 10^{23} \) a toms of oxygen
1
Chemistry
If the quotient is terminating decimal, the division is complete only when A. we get the remainder 1 B. we get the remainder zero c. we get the remainder as the repeated numbers D. All of the above
2
Maths