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A wheel has moment of inertia $5 \times 10^{-3} kg m^2$ and is making $20\; kw/s$ The torque needed to stop it in 10 s is
jeemain
physics
class11
unit5
rotational-motion
torques
easy
asked
Nov 25, 2013
by
meena.p
1
answer
A particle of mass m is projected with a speed U at an angle $\theta$ with the horizontal. Find the torque of the weight of the particle about the point of projection when the particle is at the highest point .
jeemain
physics
class11
unit5
rotational-motion
torques
medium
asked
Nov 25, 2013
by
meena.p
1
answer
A force $\overrightarrow {F} = 3 \hat i +2 \hat j -4 \hat k$ acts at the point $(1,-1,2)$. Whta is its torque about the point $(2,-1,3)$?
jeemain
physics
class11
unit5
rotational-motion
torques
easy
asked
Nov 25, 2013
by
meena.p
1
answer
A simple pendulum of length l is pulled aside to make an angle $\theta$ with the vertical. What is the magnitude of the torque of the weight of the bob about the point of suspension ?
jeemain
physics
class11
unit5
rotational-motion
torques
easy
asked
Nov 25, 2013
by
meena.p
1
answer
If $A=\begin{bmatrix}3&4\\2&4\end{bmatrix},B=\begin{bmatrix}-2&-2\\0&-2\end{bmatrix}$ then $(A+B)^{-1}$ is equal to
jeemain
math
class12
ch4
determinants
q14
adjoint-and-inverse
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
What is the torque of the force $\overrightarrow {F}=-3 \hat i +\hat j+ 5 \hat k$ acting at a point whose position vector vector is $\overrightarrow {r}= 7 \hat i+3 \hat j +\hat k?$
jeemain
physics
class11
unit5
rotational-motion
torques
easy
asked
Nov 25, 2013
by
meena.p
1
answer
If a square matrix A is such that $AA^T=I=A^TA$ then $\mid A\mid$ is equal to
jeemain
math
class12
ch3
matrices
q13
transpose-of-a-matrix
difficult
mock
asked
Nov 25, 2013
by
sreemathi.v
1
answer
The direction of the angular velocity vector is along
jeemain
physics
class11
ch4
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
A wheel is rotating at $900 \;rpm$ about its axis. When the power is cut off, it comes to rest in 1 minute. The angular retardation in $rad/s^2$ is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
The wheel of a car is rotating at the rate of 1200 revolutions per minute. On pressing the acceleration for 10 seconds, it starts rotating at 4500 revolutions per minute. The angular acceleration of the wheel is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
When a ceiling fan is switched on, it makes 10 rotations in the first 3 seconds. Assuming uniform angular acceleration, of how many revolutions it will make in the next 3 seconds?
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
medium
asked
Nov 25, 2013
by
meena.p
1
answer
If $\begin{vmatrix}x-1&5x&7\\x^2-1&x-1&8\\2x&3x&0\end{vmatrix}$ = $ax^3+bx^2+cx+d$ then $c$ is equal to
jeemain
math
class12
ch3
matrices
q12
equality-of-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
A wheel rotates with a constant acceleration of $2.0\;radians /s^2$. If the wheel starts from rest, the number of revolutions it makes in the first $10$ seconds will be approximately
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
The characteristic root of the matrix $\begin{bmatrix}1&0&0\\2&3&0\\4&5&6\end{bmatrix}$ are
jeemain
math
class12
ch3
matrices
q11
invertible-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
A wheel has a speed of 1200 revolution per minute and is made to slow down at a rate of $4\;radian/s^2$. The number of revolutions it makes before coming to rest is
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
If a fly wheel makes 120 revolutions per minute then its angular speed will be
jeemain
physics
class11
unit2
kinematics
motion-in-a-plane
uniform-circular-motion
easy
asked
Nov 25, 2013
by
meena.p
1
answer
If $\alpha,\beta,\gamma$ are the cube roots of unity,then the value of the determinant $\begin{vmatrix}e^{\alpha}&e^{2\alpha}&e^{3\alpha}-1\\e^{\beta}&e^{2\beta}&e^{3\beta}-1\\e^{\gamma}&e^{2\gamma}&e^{3\gamma}-1\end{vmatrix}$ is equal to
jeemain
math
class12
ch4
determinants
q10
evaluate-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $x,y,z$ are all distinct and $\begin{vmatrix}x&x^2&1+x^3\\y&y^2&1+y^3\\z&z^2&1+z^3\end{vmatrix}=0$ then the value of $xyz$ is
jeemain
math
class12
ch3
matrices
q9
operations-on-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $A=\begin{bmatrix}6&8&5\\4&2&3\\9&7&1\end{bmatrix}$ is the sum of symmetric matrix $B$ and skew-symmetric matrix $C$ then $B$ is
jeemain
math
class12
ch3
matrices
q8
symmetric-and-skew-symmetric-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $A,B,C$ are angles of a triangle then $\begin{vmatrix}e^{2iA}&e^{-iC}&e^{-iB}\\e^{-iC}&e^{2iB}&e^{-iA}\\e^{-iB}&e^{-iA}&e^{2iC}\end{vmatrix}$ is equal to
jeemain
math
class12
ch4
area-of-a-triangle
determinants
q7
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
A skew-symmetric matrix S satisfies the relation $S^2+I=0$ where $I$ is a unit matrix. Then $SS'$ is equal to
jeemain
math
class12
ch3
matrices
q6
symmetric-and-skew-symmetric-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $\begin{bmatrix}0&a\\b&0\end{bmatrix}^4=I$ then
jeemain
math
class12
ch3
matrices
q5
operations-on-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $A=\begin{bmatrix}3&3&3\\3&3&3\\3&3&3\end{bmatrix}$ then $A^4$ is equal to
jeemain
math
class12
ch3
matrices
q4
operations-on-matrices
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
If $E(\theta)=\begin{bmatrix}\cos^2\theta&\cos \theta\sin \theta\\\cos \theta\sin\theta&\sin^2\theta\end{bmatrix}$ and $\theta$ and $\phi$ differ by an odd multiple of $\large\frac{\pi}{2}$ then $E(\theta)E(\phi)$ is a
jeemain
math
class12
ch4
determinants
q3
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
Let $\mid x\mid$ represent the greatest integer less than or equal to $x$ then the value of the determinant $\begin{vmatrix}e & \pi & \pi^{2}-6 \\ \pi & \pi^{2}-6 & e \\ \pi^{2}-6 & e & \pi \end{vmatrix}$ is
jeemain
math
class12
ch4
determinants
q2
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
$l,m,n$ are the $p^{th},q^{th}$ and $r^{th}$ terms of a GP and all positive then $\begin{vmatrix}\log l&p&1\\\log m&q&1\\\log n&r&1\end{vmatrix}$ equals
jeemain
math
class12
ch4
determinants
q1
properties-of-determinants
difficult
asked
Nov 25, 2013
by
sreemathi.v
1
answer
Two particles A and B each of mass m are attached by a light inextensible string of length 2l. The whole system lies on a smooth horizontal table with B initially at a distance l from A. The particle at the end B is projected across the table with speed is perpendicular to AB. velocity of ball A just after the **** is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 24, 2013
by
meena.p
1
answer
A particle of mass m and velocity V collides obliquely elastically with a stationary particle of mass 'm'. The angle between the velocity vectors of the two particles after the collision is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 24, 2013
by
meena.p
1
answer
A particle of mass m strikes elastically with a disc of radius R, with a velocity $\overrightarrow {v}$ as shown. If the mass of the disc is equal to that of the particle and the surface of contact is smooth, then the velocity of disc just after the collision is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 24, 2013
by
meena.p
1
answer
Two identical billiard balls are in contact on a smooth table. A third identical ball strikes them symmetrically and come to rest after impact. The coefficient of restitution is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 24, 2013
by
meena.p
1
answer
A sphere of mass $m_1= 2 kg$ collides with a sphere of mass $m_2= 3 kg$ which is at rest. Mass $m_1$will move at right angles to the line joining the centres at the time of collision,the coefficient of restitution is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 24, 2013
by
meena.p
1
answer
If in the expansion of $(x+a)^{15},$ the $11^{th}$ term is $G.M.$ of $8^{th} $ & $12^{th}$ terms, then which term is the greatest term?
jeemain
math
class11
ch8
binomial-theorem
properties-and-application
medium
asked
Nov 24, 2013
by
rvidyagovindarajan_1
1
answer
If the sum of $5^{th}\:and\:6^{th}$ terms in the expansion of $(a-b)^n$, $n\geq5$, is 0, then $\large\frac{a}{b}$ = ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Nov 24, 2013
by
rvidyagovindarajan_1
1
answer
If the sum of the coefficients of $(1+x)^n=4096$, then the largest coefficient is ?
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
easy
asked
Nov 24, 2013
by
rvidyagovindarajan_1
1
answer
The value of $^nC_0.^{2n}C_r$ - $^nC_1^{2-2}C_r$ + $^nC_2.^{2n-4}C_r$ - ...., if $r \lt n$ is
jeemain
math
class11
ch8
binomial-theorem
properties-and-application
difficult
asked
Nov 24, 2013
by
rvidyagovindarajan_1
1
answer
A small ball on a friction less horizontal surface moves towards right with velocity V. It collides with the wall and return back and continues to and fro motion. If the average speed for first to and fro motion of the ball is $\bigg(\large\frac{2}{3} V\bigg)$, then the coefficient of restitution of impact is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
medium
asked
Nov 24, 2013
by
meena.p
1
answer
Two particles approach each other with different velocities. After collision , one of the particles has a momentum $\overrightarrow {p}$ in their center of mass frame. In the same frame, the momentum of the other particle is
jeemain
physics
class11
unit5a
center-of-mass-and-collisions
momentum-conservation-and-collisions
easy
asked
Nov 24, 2013
by
meena.p
1
answer
Degree of dissociation of an acid HCl is 95%. 0.192 g of the acid is present in 0.5 L of solution. The pH of the solution is
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
medium
q46
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
At a certain temperature, the value of $\rho K_w$ is 13.4 and the measured $\rho H$ of a soltuion is 7. The solution is
jeemain
aipmt
chemistry
equilibrium
medium
q45
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
The pH of pure water at $80^\circ C$ will be
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q44
biology
asked
Nov 23, 2013
by
mosymeow_1
2
answers
If the solubility of $Ag_2CrO_4$ is S mole/litre. Its solubility product is
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q43
biology
asked
Nov 23, 2013
by
mosymeow_1
2
answers
For the percipitation of cations of group four in the qualitative analysis, the medium is made alkaline before passing $H_2S$ gas. The purpose of alkaline Solution is
jeemain
aipmt
chemistry
equilibrium
medium
q42
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
$NH_4OH$ is a weak base but it becomes still weaker in the aqueous solution of
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q41
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
Let the solubilities of AgCl in $H_2O$, 0.01 M $CaCl_2$, 0.01 M NaCl and 0.05 M $AgNO_3$ be $S_1, S_2, S_3 and S_4$ respectively. What is the correct relationship between these quantities?
jeemain
aipmt
chemistry
equilibrium
difficult
q40
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
What is the decreasing order of strength of the bases $OH^-, NH_2^- , H-C\equiv C^-$ and $CH_3CH_2^-$ ?
jeemain
aipmt
chemistry
equilibrium
difficult
q39
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
Conjugate base of Hydrazoic acid is
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q38
biology
asked
Nov 23, 2013
by
mosymeow_1
2
answers
In which of the following reactions does $NH_3$ acts as an acid?
jeemain
aipmt
chemistry
equilibrium
easy
q37
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
Which of the following can act both as a Bronsted acid and a Bronsted base?
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q36
biology
asked
Nov 23, 2013
by
mosymeow_1
2
answers
Which of the following is a Lewis acid?
jeemain
chemistry
aipmt
equilibrium
easy
q35
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
According to the Lewis acid-base concept
sat
chemistry
chemical-equilibrium
jeemain
aipmt
equilibrium
easy
q34
biology
asked
Nov 23, 2013
by
mosymeow_1
1
answer
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