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Recent questions tagged easy

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 $(2,-1,3)$?

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 ?

asked Nov 25, 2013 by meena.p

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 $\overrightarrow {r}= 7 \hat i+3 \hat j +\hat k?$

asked Nov 25, 2013 by meena.p

1 answer

The direction of the angular velocity vector is along

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

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

asked Nov 25, 2013 by meena.p

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

asked Nov 25, 2013 by meena.p

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

asked Nov 25, 2013 by meena.p

1 answer

If a fly wheel makes 120 revolutions per minute then its angular speed will be

asked Nov 25, 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

asked Nov 24, 2013 by meena.p

1 answer

If the sum of $5^{th}\:and\:6^{th}$ terms in the expansion of $(a-b)^n$, $n\geq5$, is 0, then $\large\frac{a}{b}$ = ?

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 ?

asked Nov 24, 2013 by rvidyagovindarajan_1

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

asked Nov 24, 2013 by meena.p

1 answer

The pH of pure water at $80^\circ C$ will be

asked Nov 23, 2013 by mosymeow_1

2 answers

If the solubility of $Ag_2CrO_4$ is S mole/litre. Its solubility product is

asked Nov 23, 2013 by mosymeow_1

2 answers

$NH_4OH$ is a weak base but it becomes still weaker in the aqueous solution of

asked Nov 23, 2013 by mosymeow_1

1 answer

Conjugate base of Hydrazoic acid is

asked Nov 23, 2013 by mosymeow_1

2 answers

In which of the following reactions does $NH_3$ acts as an acid?

asked Nov 23, 2013 by mosymeow_1

1 answer

Which of the following can act both as a Bronsted acid and a Bronsted base?

asked Nov 23, 2013 by mosymeow_1

2 answers

Which of the following is a Lewis acid?

asked Nov 23, 2013 by mosymeow_1

1 answer

According to the Lewis acid-base concept

asked Nov 23, 2013 by mosymeow_1

1 answer

Which one of the following is a Bronsted acid but not a Bronsted base?

asked Nov 23, 2013 by mosymeow_1

1 answer

A particle falls from a height 'h' upon a fixed horizontal plane and rebounds. If e is the coefficient of restitution, the total distance travelled before it stops rebounding is

asked Nov 23, 2013 by meena.p

1 answer

In an elastic collision between two bodies, during the time collision is taking place, which physical quantity is conserved?

asked Nov 23, 2013 by meena.p

1 answer

In an inelastic collision between two bodies, the physical quantity that is conserved

asked Nov 23, 2013 by meena.p

1 answer

A stationary body of mass 3 kg explodes into three equal pieces. Two of the pieces fly off at right angles to each other , one with velocity $2 \hat i \;m/s$ and the other with velocity $3 \hat j\; m/s$. If the explosion takes place in $10^{-5}s,$ the average force acting on the third piece in Newtons is

asked Nov 23, 2013 by meena.p

1 answer

A body of mass m moving with a constant velocity V hits another body of the same mass moving with velocity V but in the opposite direction and sticks to it. The velocity of the compound body after collision is

asked Nov 22, 2013 by meena.p

1 answer

Mass is non- uniformly distributed on the circumference of a ring of radius a and centre at the origin. Let b be the distance of the centre of mass from the origin. Then

asked Nov 22, 2013 by meena.p

1 answer

A particle of mass $200\;g$ is dropped from a height of $50\;m$ and another particle of mass $100\; g$ is simultaneously projected up from the ground along the same line with a speed of $100\; m/s$. The acceleration of the centre of mass after $1\; s$ is

asked Nov 22, 2013 by meena.p

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are three non coplanar vectors then $(\overrightarrow a+\overrightarrow b+\overrightarrow c).(\overrightarrow b+\overrightarrow c)\times (\overrightarrow c+\overrightarrow a)=?$

asked Nov 21, 2013 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are three non coplanar vectors, then $[\overrightarrow a+\overrightarrow b+\overrightarrow c\:\overrightarrow a-\overrightarrow c\:\overrightarrow a-\overrightarrow b]=?$

asked Nov 21, 2013 by rvidyagovindarajan_1

1 answer

Two particles A and B initially at must move towards each other under a mutual force of attraction. The speed of the center of mass at the instant speed of A is V and the speed of B is 2V is

asked Nov 21, 2013 by meena.p

1 answer

Internal forces in a system can change

asked Nov 21, 2013 by meena.p

1 answer

A uniform sphere is placed on a smooth horizontal surface and a horizontal force f is applied on it at a distance h above the center. The acceleration of the center of mass of the sphere

asked Nov 21, 2013 by meena.p

1 answer

A trolley of mass 360 kg lying on a horizontal friction less surface. A man of mass 40 kg runs with uniform speed on the trolley a distance of 2 m in $0.5 \;s$. What is the velocity of the trolley relative to the earth?

asked Nov 21, 2013 by meena.p

1 answer

A man of mass 40 kg is standing on a uniform Planck of mass 60 kg lying on a horizontal friction less ice. The man walks from one end to the other end of the Planck. The distance walked by the man relative to ice is (length of Planck=5 m)

asked Nov 21, 2013 by meena.p

1 answer

A shell projected from a level ground has a range R, it does not explode. At the highest point the shell explodes into two fragments having masses in the radio 1:3 with each fragment moving horizontally immediately after the explosion. If the lighter fragment falls at a distance R from the point of projection, the distance at which the other fragment falls from the point of projection is

asked Nov 21, 2013 by meena.p

1 answer

A shell is projected from a level ground with a velocity of $20\;m/s$ at $45^{\circ}$ to the horizontal. When the shell is at highest point, it breaks into two equal fragments. One of the fragment whose initial velocity after the explosion is zero, falls vertically downward. At what distance from the point of projection does the other fragment fall? $(g=10\;ms^{-2})$

asked Nov 21, 2013 by meena.p

1 answer

A shell in flight explodes into n equal fragments. K of the fragments reach the ground earlier than the other fragments. The acceleration of their centre of mass subsequently will be

asked Nov 21, 2013 by meena.p

1 answer

Inverse of $\begin{bmatrix}1&2&3\\2&3&4\\3&4&6\end{bmatrix}$ is

asked Nov 21, 2013 by sreemathi.v

1 answer

If $B$ is a non-singular matrix and A is a square matrix then $det(B^{-1}AB)$ is equal to

asked Nov 21, 2013 by sreemathi.v

1 answer

A balloon of mass M is stationary in air. It has a ladder on which a man of mass m is standing. If the man starts climbing up the ladder with a velocity v relative to the ladder, the velocity of the balloon is

asked Nov 21, 2013 by meena.p

1 answer

Two blocks of masses 4 kg and 3 kg are placed on a friction less surface connected by a string. An external force gives a velocity 7 m/s to the heavier mass in the direction of the lighter , velocity of their centre of mass is

asked Nov 21, 2013 by meena.p

1 answer

If $A$ is a square matrix such that $A^2=I$ then $A^{-1}$ is equal to

asked Nov 21, 2013 by sreemathi.v

1 answer

Two particles of mass 2m and 3m are at a distance 'd' apart. Under their mutual gravitational force, they start moving towards each other. The acceleration of their center of mass when they are $d/2$ apart is

asked Nov 21, 2013 by meena.p

1 answer

Two bodies of masses 10 kg and 2 kg are moving with velocities $2m/s$ and $10m/s$, towards each other . The velocity of their centre of mass is

asked Nov 21, 2013 by meena.p

1 answer

A boy of mass 36 kg moves from one end to other end of a boat of mass 72 kg on still water. If the length of the boat is 2.7 m, the displacement of the boat is

asked Nov 21, 2013 by meena.p

1 answer

If $a_1,a_2,a_3.......a_n$ are in G.P then the value of the determinant $\begin{vmatrix}\log a_n&\log a_{n+1}&\log a_{n+2}\\\log a_{n+3}&\log a_{n+4}&\log a_{n+5}\\\log a_{n+6}&\log a_{n+7}&\log a_{n+8}\end{vmatrix}$ is

asked Nov 21, 2013 by sreemathi.v

1 answer

Two particles A and B of masses 2 kg and 3 kg are separated by 10 m. If they move towards each other under a mutual force of attraction, the distance of the point where they meet from the initial position of A is

asked Nov 21, 2013 by meena.p

1 answer

Let $A=\begin{vmatrix}5 &5\alpha&\alpha\\0&\alpha&5\alpha\\0&0&5\end{vmatrix}$ if $\mid A^2\mid=25$ then $\alpha$ equals

asked Nov 21, 2013 by sreemathi.v

1 answer

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