| 2023-02-14 | When a nucleus in an atom undergoes a radioactive decay, the electr... | 2:59 | 5 | |
|
| 2023-02-14 | Tritium is an isotope of hydrogen whose nucleus Triton contains 2 n... | 3:09 | 32 | |
|
| 2023-02-14 | Triangle \( A B C \) is isosceles with \( A B=A C \) and \( B C=65 \mathrm{~cm} . P \) is a poin... | 11:54 | 21 | |
|
| 2023-02-14 | In a nuclear reactor, moderators slow down the neutrons which come ... | 3:02 | 62 | |
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| 2023-02-14 | Heavy stable nucle have more neutrons than protons. This is because... | 2:53 | 11 | |
|
| 2023-02-14 | A uniform solid sphere of radius \( r \) is rolling on a smooth horizontal surface with velocity... | 5:54 | 35 | |
|
| 2023-02-14 | WV these lines intersect at the point \( Q \). Consider the ellipse whose center is at the origi... | 17:11 | 4 | |
|
| 2023-02-14 | Match the column
Column - I
(A) The foci of the hyperbola \( 12 x^{2}-4 y^{2}-24 x+32 y-127=0 \)... | 15:08 | 15 | |
|
| 2023-02-14 | \[
\int \frac{(1+\cos x)}{(1-\cos x)} d x=?
\]
\( \mathrm{P} \)
(a)... | 3:19 | 8 | |
|
| 2023-02-14 | STATEMENT-1 : In a triangle \( A B C \), the harmonic mean of the three exradii is three times t... | 11:59 | 7 | |
|
| 2023-02-14 | If \( \sin \theta+\cos \theta=\frac{1}{2} \), then \( 16(\sin (2 \theta)+\cos (4 \theta) \)
\( \... | 4:33 | 705 | |
|
| 2023-02-14 | A positively charged metal ring of radius \( R \) is fixed in the \... | 10:23 | 19 | |
|
| 2023-02-14 | The false statement in the following is
(a) \( p \wedge(\sim p) \) is a contradiction
\( \mathrm... | 3:27 | 33 | |
|
| 2023-02-14 | In a \( \triangle \mathrm{ABC} \), following relations hold good. In which case(s) the triangle ... | 18:38 | 11 | |
|
| 2023-02-14 | The common tangents to the circle \( x^{2}+y^{2}=2 \) and the parabola \( y^{2}=8 x \) touch the... | 13:20 | 176 | |
|
| 2023-02-14 | \[
\int \frac{\cos x}{(1+\cos x)} d x=?
\]
\( \mathrm{P} \)
(a) \( ... | 3:06 | 6 | |
|
| 2023-02-14 | \( \int\left\{\frac{1-\tan \left(\frac{x}{2}\right)}{1+\tan \left(\... | 3:26 | 7 | |
|
| 2023-02-14 | \( \int_{0}^{100}\{x\} d x \), where \( \{x\} \) denotes the fracti... | 1:44 | 4 | |
|
| 2023-02-14 | According to Gauss's
theorem in electrostatics, total electric flux... | 4:52 | 9 | |
|
| 2023-02-14 | The statement among the following that is a tautology is
(a) \( A \wedge(A \vee B) \)
(b) \( B \... | 5:52 | 23 | |
|
| 2023-02-14 | \[
\int \frac{x^{2} \tan ^{-1} x^{3}}{\left(1+x^{6}\right)} d x=?
\... | 2:22 | 8 | |
|
| 2023-02-14 | This question contains statements given in two columns, which have ... | 6:01 | 6 | |
|
| 2023-02-14 | \( \mathrm{P} \)
WV
(a) \( \frac{1}{\sqrt{2}} \tan ^{-1}\left(\frac... | 2:45 | 131 | |
|
| 2023-02-14 | नीचे दी गई आकृति ई. कोलाई कारक \( \mathrm{pBR} 322 \) का चित्रीय निरूपण करती है। नीचे दिए गए विक... | 5:06 | 4 | |
|
| 2023-02-14 | The gravitational force between a \( \mathrm{H} \)-atom and another... | 3:14 | 13 | |
|
| 2023-02-14 | The maximum value of \( f(x)=(x-2)(x-3)^{2} \) is
\( \mathrm{P} \)
... | 5:49 | 5 | |
|
| 2023-02-14 | \[
\int \frac{d x}{\left(e^{x}-1\right)}=?
\]
P
(a) \( \log \left|e... | 3:23 | 13 | |
|
| 2023-02-14 | \[
\int \operatorname{cosec}^{3}(2 x+1) \cot (2 x+1) d x=?
\]
(a) \... | 3:37 | 12 | |
|
| 2023-02-14 | The simple Bohr modle is not applicable to \( \mathrm{He}^{4} \) at... | 3:18 | 2 | |
|
| 2023-02-14 | \( f(x)=\int \frac{5 x^{8}+7 x^{6}}{\left(x^{2}+1+2 x^{7}\right)^{2... | 4:36 | 78 | |
|
| 2023-02-14 | According to Gauss's theorem in electrostatics, total electric flux... | 3:57 | 15 | |
|
| 2023-02-14 | Consider aiming a beam of free electrons towards free protons. When... | 3:06 | 17 | |
|
| 2023-02-14 | Let \( E_{n}=\frac{-1}{8 \varepsilon_{0}^{2}} \frac{m e^{4}}{n^{2} ... | 3:46 | 3 | |
|
| 2023-02-14 | Suppose we consider a large number of containers each containing in... | 2:57 | 5 | |
|
| 2023-02-14 | A block of mass \( m \) is attached to a pulley disc of equal mass \( m \) and radius \( r \) by... | 3:54 | 26 | |
|
| 2023-02-14 | A conical pendulum consists of a simple pendulum moving
\( \mathrm{P} \) in a horizontal circle ... | 2:29 | 51 | |
|
| 2023-02-14 | The minimum value of \( \left(x^{2}+\frac{250}{x}\right) \) is
\( \... | 3:24 | 2 | |
|
| 2023-02-14 | \( \mathrm{W}^{\top} \) hen \( x \) is positive, the minimum value ... | 7:24 | 5 | |
|
| 2023-02-14 | Three identical spheres, each having a charge \( q \) and radius \(... | 8:57 | 71 | |
|
| 2023-02-14 | The binding energy of a \( \mathrm{H} \)-atom, considering an elect... | 3:54 | 57 | |
|
| 2023-02-14 | \( \mathrm{P} \)
(a) \( \frac{1}{2} \log \left(\frac{x^{2}+x+1}{x^{... | 3:11 | 101 | |
|
| 2023-02-14 | The Balmer series for the \( \mathrm{H} \)-atom can be observed
(a)... | 3:59 | 24 | |
|
| 2023-02-14 | The least value of \( f(x)=\left(e^{x}+e^{-x}\right) \) is
(a) \( -... | 3:02 | 3 | |
|
| 2023-02-14 | According to Gauss's theorem in electrostatics, total electric flux... | 2:53 | 5 | |
|
| 2023-02-14 | Let slope of the tangent line to a curve at any point \( P(x, y) \)... | 3:25 | 103 | |
|
| 2023-02-14 | \( \int \frac{1}{x \cos ^{2}(1+\log x)} d x=? \)
\( \mathrm{P} \)
(... | 1:51 | 3 | |
|
| 2023-02-14 | The Bohr model for the spectra of a H-atom
(a) will not be applicab... | 3:04 | 5 | |
|
| 2023-02-14 | If \( y(\alpha)=\sqrt{2\left(\frac{\tan \alpha+\cot \alpha}{1+\tan ... | 2:23 | 30 | |
|
| 2023-02-14 | Which of the following holds good for any triangle \( A B C \) ?
(A) \( \frac{\cos A}{a}+\frac{\... | 10:27 | 8 | |
|
| 2023-02-14 | A line is a common tangent to the circle \( (x-3)^{2}+y^{2}=9 \) and the parabola \( y^{2}=4 x \... | 12:09 | 682 | |
|
| 2023-02-14 | \( f(x)=\frac{x}{\left(x^{2}+1\right)} \) is increasing in
\( \math... | 4:21 | 3 | |
|
| 2023-02-14 | If \( A, B \) and \( C \) are any three sets, then \( A-(B \cup C) \) is equal to
P
(a) \( (A-B)... | 4:23 | 895 | |
|
| 2023-02-14 | Match the column:
(A) Number of integral values of \( b \) for which tangent parallel to
Column ... | 11:21 | 3 | |
|
| 2023-02-14 | An ionised \( \mathrm{H} \)-molecule consists of an electron and tw... | 3:28 | 15 | |
|
| 2023-02-14 | If in a triangle \( A B C, \cos A \cos B+\sin A \sin B \sin C=1 \), then the triangle is
(A) iso... | 10:03 | 8 | |
|
| 2023-02-14 | Triangle \( A B C \) is right angle at \( A \). The points \( P \) and \( Q \) are on hypotenuse... | 9:53 | 19 | |
|
| 2023-02-14 | \[
\int e^{2 x}(-\sin x+2 \cos x) d x=
\]
\( \mathrm{P} \)
(1) \( \... | 1:58 | 312 | |
|
| 2023-02-14 | A thick walled hollow sphere has outer radius \( R \). It rolls down an inclined plane without s... | 3:52 | 72 | |
|
| 2023-02-14 | A set of atoms in an excited state decays.
(a) in general to any of... | 3:49 | 18 | |
|
| 2023-02-14 | A disc of mass \( m \) and radius \( R \) moves in the \( x-y \) plane as shown in figure. The a... | 3:24 | 3 | |
|
| 2023-02-14 | The simple Bohr model cannot be directly applied to calculate the e... | 4:12 | 21 | |
|
| 2023-02-14 | \( f(x)=x^{x} \) is decreasing in the interval
(a) \( (0, e) \)
(b)... | 3:53 | 5 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) N... | 2:52 | 1 | |
|
| 2023-02-14 | The least value of \( k \) for which \( f(x)=x^{2}+k x+1 \) is incr... | 1:50 | 8 | |
|
| 2023-02-14 | A force \( F \) acts tangentially at the highest point of a disc of mass \( m \mathrm{kept} \) o... | 3:16 | 1 | |
|
| 2023-02-14 | Two \( \mathrm{H} \) atoms in the ground state collide inelasticall... | 3:13 | 31 | |
|
| 2023-02-14 | Relativistic corrections become neccssary when the expression
\( \m... | 5:49 | 1 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) E... | 2:06 | 1 | |
|
| 2023-02-14 | A disc is freely rotating with an angular speed \( \omega \) on a smooth horizontal plane. If it... | 2:36 | 6 | |
|
| 2023-02-14 | Let ' \( a \) ' be a real number such that the function \( f(x)=a x... | 2:55 | 78 | |
|
| 2023-02-14 | Two discs, each having moment of inertia \( 5 \mathrm{~kg} \mathrm{~m}^{2} \) about its central ... | 5:19 | 1 | |
|
| 2023-02-14 | For the ground state, the electron in the \( \mathrm{H} \)-atom has... | 3:14 | 20 | |
|
| 2023-02-14 | \( \mathrm{O}_{2} \) molecule consists of two oxygen atoms. In the ... | 2:58 | 5 | |
|
| 2023-02-14 | \( f(x)=\frac{2 x}{\log x} \) is increasing in
\( \mathrm{P} \)
(a)... | 3:14 | 12 | |
|
| 2023-02-14 | \( f(x)=x^{2} e^{-x} \) is increasing in
(a) \( (-2,0) \)
(b) \( (0... | 3:09 | 1 | |
|
| 2023-02-14 | In \( \triangle A B C, b c=2 b^{2} \cos A+2 c^{2} \cos A-4 b c \cos ^{2} A \), then \( \triangle... | 9:18 | 5 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) G... | 1:31 | 1 | |
|
| 2023-02-14 | Function \( f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x} ... | 4:26 | 31 | |
|
| 2023-02-14 | Given two straight lines \( A B \) and \( A C \) whose equations are \( 3 x+4 y=5 \) and \( 4 x-... | 9:16 | 9 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) E... | 1:34 | 1 | |
|
| 2023-02-14 | Photons absorbed in matter are converted to heat. A source emitting... | 5:23 | 52 | |
|
| 2023-02-14 | The function \( f(x)=x^{3}-27 x+8 \) is increasing when
(a) \( |x|3... | 3:11 | 20 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) E... | 2:20 | 1 | |
|
| 2023-02-14 | A particle moves in a closed orbit around the origin, due to a forc... | 5:24 | 4 | |
|
| 2023-02-14 | \( f(x)=\sin x \) is increasing in
(a) \( \left(\frac{\pi}{2}, \pi\... | 2:14 | 24 | |
|
| 2023-02-14 | If a rigid body rolls on a surface without slipping, then
(1) linear speed is maximum at the hig... | 3:40 | 0 | |
|
| 2023-02-14 | A solid sphere rolls down two different inclined planes of
P the same height but of different in... | 5:40 | 4 | |
|
| 2023-02-14 | Match the column
Column - I
Column - II
\( \mathrm{P} \)
(a) Number of common tangents
\( \mathr... | 9:25 | 9 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) E... | 1:09 | 1 | |
|
| 2023-02-14 | If a particle moves in a straight line according to the law \( \mat... | 2:07 | 7 | |
|
| 2023-02-14 | Two second order reactions given below having identical frequency factors:
(i) \( \quad A \longr... | 8:01 | 1 | |
|
| 2023-02-14 | The de Broglie wavelength of a photon is twice the de Broglie wavel... | 6:10 | 20 | |
|
| 2023-02-14 | Consider the relation \( 4 l^{2}-5 m^{2}+6 l+1=0 \), where \( l, m \in R \), and the line \( l x... | 7:22 | 5 | |
|
| 2023-02-14 | In the circuit shown in Fig. , the base current \( \mathrm{I}_{b} \... | 6:45 | 11 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
- (a)... | 1:46 | 2 | |
|
| 2023-02-14 | The function \( f(x)=x^{3}-27 x+8 \) is increasing when
(a) \( |x|3... | 3:11 | 3 | |
|
| 2023-02-14 | Match appropriately column I and column II
Column I
Column II
(a) A... | 2:13 | 2 | |
|
| 2023-02-14 | The number of values of \( x \) where the function \( f(x)=\cos x+\... | 2:50 | 11 | |
|
| 2023-02-14 | An electron (mass \( m \) ) with an initial velocity \( \mathbf{v}=... | 5:26 | 2 | |
|
| 2023-02-14 | Taking the Bohr radius as \( a_{0}=53 \mathrm{pm} \), the radius of... | 1:51 | 8 | |
|
