Recent questions tagged medium

Two bodies begin to free fall from same height at a time interval of N seconds, If the vertical seperation between them is 1m after n seconds from the start of 1st body, then n equals

asked Jun 24, 2013 by meena.p

1 answer

A player kicks a football at an angle of $30^{\circ}$ with horizontal and initial velocity of 19.6m/s. A second player standing at a distance of 20.95m from the first player and in the direction of the kick,starts running to meet the ball, at the instant it is kicked. How far and how fast must he run in order to catch the ball before it hits the ground ?

asked Jun 24, 2013 by meena.p

1 answer

Rain is falling at the speed of 4 km/hr from west direction making an angle $30^{\circ}$ with vertical. At what speed should a man walk eastward, such that he has to hold his umbrella vertically to protect himself

asked Jun 23, 2013 by meena.p

1 answer

The displacement x of a particle varies with time 't' as $x=ae^{-\alpha t}+b e^{\beta t}$ where $a,b,\alpha, \beta$ are positive constants. The velocity of the particle will

asked Jun 23, 2013 by meena.p

1 answer

The position x of a particle varies with time as $x=at^2-bt^3$. The acceleration of the particle will be zero at time t equal to

asked Jun 21, 2013 by meena.p

1 answer

Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?

asked Jun 21, 2013 by balaji.thirumalai

1 answer

A 150 m long train is travelling from West to East at a speed of 20 m/s. A bird is flying from East to West at a speed of 5 m/s above the train. How long will the bird take to cross the train ?

asked Jun 20, 2013 by meena.p

1 answer

A man crosses the river in shortest time at an angle $\theta=60 ^{\circ}$ to the direction of flow of water. If the speed of water is $v_w=4\; km/hr$ find the speed of man.

asked Jun 20, 2013 by meena.p

1 answer

At what departure angle should a body be projected so that the maximum vertical height attained by a projectile is equal to the horizontal range ?

asked Jun 20, 2013 by meena.p

1 answer

Value of acceleration due to gravity is $ 9.8 m/s^2$. Find its value in $km/hr^2$

asked Jun 19, 2013 by meena.p

1 answer

In an experiment the angles are measured using an instrument where $29$ divisions of main scale exactly coincide with $30$ division of vernier scale.If the smallest division in main scale is half a degree, then the least count of the instrument is

asked Jun 18, 2013 by meena.p

1 answer

The caesium clock are capable of measuring time with an accuracy of $1$ part in $10^{11}$. If two such clock run for $100$ years, find the difference in time shown by the clock

asked Jun 18, 2013 by meena.p

1 answer

If $h$ - is plank constant,e charge then dimension of ohm is same as

asked Jun 18, 2013 by meena.p

1 answer

A gas bubble from under water explosion oscillates with time period $T$ propotional to $P^xd^yE^z$ where $P$-pressure, $d$-density, $E$-energy, values of $x,y,z$ are

asked Jun 18, 2013 by meena.p

1 answer

Dimensional formula for electrical resistivity

asked Jun 18, 2013 by meena.p

1 answer

The value of Kinetic energy $K$ and potential energy $V$ are measured as follows $K=100.0 \pm 2.0\; I \quad V=200.0 \pm 1.0\; I$. What is the percentage error in measurement of mechanical energy ?

asked Jun 17, 2013 by meena.p

1 answer

Suppose we are told that the acceleration $A$ of a particle moving with uniform speed $v$ in a circle of radius $r$ is proportional to some power of r, say $r^n$, and some power of v, say $v^m$. Which of the following is the simplest form of an equation for the acceleration?

asked Jun 17, 2013 by meena.p

1 answer

The position $x$ of a particle at time $t$ is given by $x=\large\frac{v_0}{a} $$(1-e^{-at})$ where $v_0$ is constant and $a >0$ find the dimensions of $v_0$ and $a$

asked Jun 17, 2013 by meena.p

1 answer

Two resistances are expressed as $R_1=(4\pm0.5) \Omega$ and $R_2=(12 \pm 0.5) \Omega$. what is the net resistance when they are connected 1) series 2) in parallel, with percentage error ?

asked Jun 17, 2013 by meena.p

1 answer

(n+2)! = 60(n-1)!

asked Jun 4, 2013 by munluohaupu

1 answer

Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=coslogx$ then $f(x^2).f(y^2)-\large\frac{1}{2}$ $(f(\large\frac{x^2}{y^2})$$+f(x^2y^2))= ?$

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2\},$ then how many binary operations having 1 as identity and 2 as inverse of 2 are possible?

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

If a set $A$ has 2 elements, then how many binary operations are possible in $A$ ?

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

If $g(x)=x^2+x-2\:\:and\:\:\large\frac{1}{2}$$gof(x)=2x^2-5x+2$ then $ f(x)= ?$

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\left\{\begin{array}{c,c} |x| &x \leq 1 \\2-x &x>1\end{array}\right.$, then $fof(x)=?$

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $f:A\rightarrow B$ is defined as $f(x)=\sqrt 3 sinx+cosx+4$ and $f$ is invertible then find A.

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3,4\}\:and\:B=\{3,4,7\}$ then the no. of onto functions from $A\rightarrow B$=?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R\:\:and\:\:f(x)=|x|$ and $A=(0,1)$, then find $f^{-1}(A)$

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f:A\rightarrow B$ is defined as $f(x)=x^2-x+1$ so that $f(x)=f^{-1}(x)$ then the solution set of $x$ is ?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq \large\frac{1}{2}\}$ and $B=\{x:x\in R\:\:and\:\:x\geq\large\frac{3}{4}\}$ and $f(x)=x^2-x+1$ so that $f(x)=f^{-1}x$ then the solution set of $x$ is ?

asked May 27, 2013 by rvidyagovindarajan_1

0 answers

If $f:A\rightarrow B$, $3^{f(x)}+2^{-x}=4$ and $f(x)$ is bijection then the domain $A$ of $f(x)$ is ?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

$If A\{x,y,z\},\:\:B=\{1,2,3\}$ and $f:A\rightarrow B\:\:is\:1-1\:$function. Also one out of the following statements, $f(z)\neq 2,\:\:f(x)=1\:\:and\:\:f(y)\neq 1$ is true. then $f^{-1}(1)=?$

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

If $ A=\{x:x\in R\:and\:x\geq 1\}$ and $ f:A\rightarrow A$ is defined as $f(x)=2^{x(x-1)},$ then find $ f^{-1}(x).$

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

Range of $f(x)=\large\frac{x-[x]}{1+x-[x]}$ where $[x]$ is greatest integer function.

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\large\frac{x}{x+1},$ $g(x)=\large\frac{x}{1-x}$ and $h(x)=\sqrt [3] {x},$ then $(fogoh)^{-1}(8)= ?$

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $g(f(x))=|sinx|$ and $f(g(x))=(sin\sqrt x)^2$ then find $ f(x)\:\: and\:\: g(x)$

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

Find the position vector of a point $R$ which divides the line joining two points $P$ and $Q$ whose position vectors are $ \hat i + 2\hat j − \hat k$ and $– \hat i + \hat j + \hat k$ respectively, in the ratio $2 : 1$ externally

asked May 20, 2013 by sreemathi.v

1 answer