Recent questions tagged jeemain

A particle of mass m slides a distance d down a plane inclined at $\theta$ to the horizontal. The work done by the normal reaction R is

asked Aug 6, 2013 by meena.p

1 answer

A car is moving with a constant speed of $20 ms^{-1}$ against a resistive force of $100 \;N$. The power exerted by the car is

asked Aug 6, 2013 by meena.p

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A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force in the positive x-axis direction is applied to the block . The force $\hat F$ is given by $\hat F=(4-x^2)\hat i \;N$ . Initial position of the block is $x=0$. The maximum kinetic energy of block between $x=0$ to $x=2.0$ is

asked Aug 6, 2013 by meena.p

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Two blocks A and B of mass m and 2m are connected by a massless spring of force constant k. They are placed on smooth horizontal plane . Spring is streched by an amount x and then released . the relative velocity of the blocks when the spring come its natural length is

asked Aug 6, 2013 by meena.p

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Velocity - time graph of a particle moving in a straight line is shown. Mass of particle is 2 kg. What is work done by all the forces on the particle in time interval between $t=0$ to $t=10s$ if velocity goes from $10 ms^{-1}$ to $-20 ms^{-1}$ ?

asked Aug 6, 2013 by meena.p

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An object of mass m is allowed to fall from rest along a rough inclined plane. The speed of the object at bottom of the plane is proportional to

asked Aug 5, 2013 by meena.p

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A block of $2 kg$ is hanging over a smooth string. The other end of the string is pulled by a constant force $F=40N$.The kinetic energy of the particle increases $40 \;J$ in a given interval of time. then $(g=10 m/s^2)$

asked Aug 5, 2013 by meena.p

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A particle moves in a straight line with constant acceleration under constant force F. Select the correct alternatives.

asked Aug 5, 2013 by meena.p

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System shown in figure is released from rest. Pulley and spring is massless and friction is absent everywhere. The speed of 5kg block when 2 kg block leaves the contact with the ground is $(k=40 N/m;g=10 m/s^2)$

asked Aug 5, 2013 by meena.p

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A hole is drilled from the surface of earth to its center. A particle is dropped from rest at the surface of earth . The speed of the particle when it reaches the center of the earth in terms of escape velocity of the surface of earth $v_e$ is

asked Aug 5, 2013 by meena.p

1 answer

A particle is released from top of two inclined rough surfaces of height 'h' each. The angle of inclination of two planes are $30^{\circ}$ and $60^{\circ}$ respectively. All other factor (eg. coefficient of friction, mass of block etc) are same in both cases. Let $k_1$ and $k_2$ be kinetic energies of the particle at the bottom of the plane in two cases. Then

asked Aug 5, 2013 by meena.p

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If $z$ is a complex number having non zero imaginary part and $z^2+z+1=a$ where $a$ is real, then $a$ cannot take which of the following values?

asked Aug 5, 2013 by rvidyagovindarajan_1

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The value of $b$ for which the eqns., $x^2+bx-1=0,\:x^2+x+b=0$ have one common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

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If the eqns., $x^2-6x+a=0$ and $x^2-5x+6=0$ have one root in common and the other roots are in the ratio 4:3, then the common root is

asked Aug 5, 2013 by rvidyagovindarajan_1

1 answer

If $\cos\theta+2\cos\alpha+3\cos\beta=\sin\theta+2\sin\alpha+3\sin\beta=0$, then $\sin\;3\theta+8\sin\;3\alpha+27\sin\;3\beta=?$

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

If $(\cos\alpha+i\sin\alpha)(\cos2\alpha+i\sin2\alpha)....(\cos n\alpha+i \sin n\alpha)$ = 1, then $\alpha$ = ?

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

The common roots to the equations $z^3+2z^2+2z+1=0\:\:and\:\:z^{149}+z^{100}+1=0$ are

asked Aug 2, 2013 by rvidyagovindarajan_1

1 answer

For any complex number $z$, the minimum value of $|z|+|z-1|=?$

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

The cube roots of $-1$ are?

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $z_r=cos(\large\frac{\pi}{3^r})$$+isin(\large\frac{\pi}{3^r})$, where $r=1,2,3...........then \:\:z_1.z_2.z_3.....................\infty=?$

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $a=\cos\alpha+i \sin\alpha$, $b=\cos\beta+i \sin\beta$, $c=\cos\gamma+i\sin\gamma$ and $\large\frac{b}{c}+\frac{c}{a}+\frac{a}{b}$ = 1, then $\cos(\beta-\gamma)+\cos(\gamma-\alpha)+\cos(\alpha-\beta)$ = ?

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $R_e\bigg(\large\frac{z-8i}{z+6}\bigg)$$=0$, then $z$ lies in the curve

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

If $n$ is a positive integer, then $(1+i)^n+(1-i)^n=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

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$\large\frac{(cosx+isinx)(cosy+isiny)}{(cotu+i)(1+itanv)}=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $ \large\frac{3}{2+\cos\theta+i\sin\theta}=$$x+iy$, then $ (x-1)(x-3)=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $\omega$ is cube root of $1$ and $\alpha,\beta,\gamma$ are cube roots of $p$ , then for any real numbers $x,y,z$the value of $\large\frac{x\alpha+y\beta+z\gamma}{x\beta+y\gamma+z\alpha}$ is ?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

For any integer $ n$, the argument of $z=\large\frac{(\sqrt 3+i)^{4n+1}}{(1-\sqrt 3 i)^{4n}}$ is ?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

If $z_1,z_2$ are any two complex numbers and $a,b$ are two real numbers, then $|az_1-bz_2|^2+|bz_1+az_2|^2=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The value of $\sum\limits_{n=1}^{13} (i^n+i^{n+1})=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

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If $z_1,z_2,z_3,z_4$ are the roots of $z^4=1$, then $\sum\limits_{i=1}^4 z_i^3$=?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

If conjugate of $(x+iy)(1-2i)=1+i$, then $(x,y)=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?

asked Jul 28, 2013 by rvidyagovindarajan_1

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The argument of $\large\frac{1-\sqrt 3i}{1+\sqrt 3i}=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer