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Recent questions tagged ch2
Questions
If $x_1=2\tan^{-1}\big(\large\frac{1+x}{1-x}\big)$$,x_2=\sin^{-1}\big[\large\frac{1-x^2}{1+x^2}\big]$ where $x\in(0,1)$ then $x_1+x_2$ is equal to
jeemain
math
class12
ch2
inverse-trigonometric-functions
q88
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
If $\cot(\cos^{-1}x)=\sec\big[\tan^{-1}\large\frac{a}{\sqrt{b^2-a^2}}\big]$ then $x$ is equal to
jeemain
math
class12
ch2
inverse-trigonometric-functions
q87
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
If $a=\sin^{-1}\big(\large\frac{-1}{\sqrt 2}\big)+$$\cos^{-1}\big(\large\frac{-1}{2}\big),$$b=\tan^{-1}\big(-\sqrt 3\big)-\cot^{-1}\big(-\large\frac{1}{\sqrt 3}\big)$ then
jeemain
math
class12
ch2
inverse-trigonometric-functions
q86
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
A solution of $\sin^{-1}(1)-\sin^{-1}\big(\large\frac{\sqrt 3}{x^2}\big)$$-\large\frac{\pi}{6}$$=0$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q85
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The value of $x$ satisfying $\sin^{-1}x+\sin^{-1}(1-x)=\cos^{-1}x$ are
jeemain
math
class12
ch2
inverse-trigonometric-functions
q84
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The value of $\cos[2\tan^{-1}(-7)]$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q83
inverse-trignometric-identities
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
If $\sin^{-1}x+\sin^{-1}y=\large\frac{\pi}{2}$ then $\cos^{-1}x+\cos^{-1}y$ is equal to
jeemain
math
class12
ch2
inverse-trigonometric-functions
q82
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The principal value of $\sin^{-1}\tan\big(\large\frac{-5\pi}{4}\big)$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q81
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
The value of $\cot (cosec^{-1}\large\frac{5}{3}$$+\tan^{-1}\large\frac{2}{3})$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q80
inverse-trignometric-properties
easy
asked
Oct 11, 2013
by
sreemathi.v
1
answer
Find the value of $\cos[2\cos^{-1}x+\sin^{-1}x]$ at $x=\large\frac{1}{5}$ where $0\leq \cos^{-1} x\leq \pi$ and $\large\frac{-\pi}{2}$$\leq \sin^{-1}x\leq \large\frac{\pi}{2}$
jeemain
math
class12
ch2
inverse-trigonometric-functions
q76
inverse-trignometric-properties
easy
asked
Oct 10, 2013
by
sreemathi.v
1
answer
The value of $\tan\bigg[\cos^{-1}\big(\large\frac{4}{5}\big)$$+\tan^{-1}\big(\large\frac{2}{3}\big)\bigg]$ is
jeemain
math
class12
ch2
inverse-trigonometric-functions
q54
inverse-trignometric-properties
easy
asked
Oct 9, 2013
by
sreemathi.v
1
answer
In $\sin x=-\cos^2x$ then $\cos^2x(1+\cos^2x)$ equals
jeemain
math
class11
ch2
trigonometric-functions
q11
trignometric-identities
easy
asked
Oct 7, 2013
by
sreemathi.v
1
answer
The cube roots of $-1$ are?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
medium
asked
Aug 1, 2013
by
rvidyagovindarajan_1
1
answer
If $z_1,z_2$ are any two complex numbers and $a,b$ are two real numbers, then $|az_1-bz_2|^2+|bz_1+az_2|^2=?$
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
easy
asked
Jul 28, 2013
by
rvidyagovindarajan_1
1
answer
If $y=\sqrt {x^2+6x+8}$, then the value of $\sqrt {1+iy}+\sqrt {1-iy}$= ?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 24, 2013
by
rvidyagovindarajan_1
1
answer
If $2-i$ is a root of the eqn., $ax^2+12x+b$, where $a$ and $b$ are real then the value of $ab$ = ?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 22, 2013
by
rvidyagovindarajan_1
1
answer
The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 16, 2013
by
rvidyagovindarajan_1
1
answer
If $\alpha\:\:and\:\:\beta$ are the roots of $2x^2-2(1+n^2)x+(1+n^2+n^4)=0$, then the value of $\alpha^2+\beta^2=?$
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
easy
asked
Jul 12, 2013
by
rvidyagovindarajan_1
1
answer
The figure gives the speed-time graph of the motion of a car. What is the ratio of the distance travelled by car during the last two seconds to total distance travelled in seven seconds
jeemain
physics
class11
ch3
kinematics
motion-in-a-straight-line
speed-and-velocity
medium
motion-in-a-straight-line-graphs
speed-time-graph
cbse11
ch2
motion-in-straight-line
asked
Jun 27, 2013
by
meena.p
1
answer
The velocity time (v-t) graph of a moving object is given by the following figure. The maximum acceleration is
jeemain
physics
class11
unit2
kinematics
motion-in-a-straight-line
acceleration
medium
cbse11
ch2
motion-in-straight-line
asked
Jun 25, 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.
jeemain
physics
class11
ch4
kinematics
motion-in-a-plane
vectors
scalars-and-vectors
medium
cbse11
ch2
motion-in-straight-line
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 $km/hr^2$
jeemain
physics
class11
ch2
units-and-measurement
q50
medium
measurement-of-length-mass-time
asked
Jun 19, 2013
by
meena.p
1
answer
Resistance of metal is given by $R=\large\frac{V}{I}$. $V$ is potential difference, $I$ is current. In a circuit $V=(8 \pm 0.5)v$ and current is $I=(2 \pm 0.2)A$. what is value of resistance with percentage error?
jeemain
physics
class11
ch2
units-and-measurement
q48
easy
mock
accuracy-precision-and-errors-in-measurement
asked
Jun 19, 2013
by
meena.p
1
answer
The dimensions of electrical resistance is
jeemain
physics
class11
ch2
units-and-measurement
q49
easy
dimensional-formulae-and-analysis
asked
Jun 19, 2013
by
meena.p
1
answer
The laser light beamed towards moon from earth takes $2.56s$ to return after reflection at moon's surface. How much is the radius of lunar orbit around earth?
jeemain
physics
class11
ch2
units-and-measurement
q47
easy
measurement-of-length-mass-time
asked
Jun 19, 2013
by
meena.p
1
answer
To find the value of $g$ using simple pendulum $T=2.00 sec,\;l=50cm.$ was measured. The maximum possible errors in $g$ is (Error in $T$=0.01 sec,$l$=0.1 cm)
jeemain
physics
class11
ch2
units-and-measurement
q46
easy
accuracy-precision-and-errors-in-measurement
cbse11
ch1
asked
Jun 19, 2013
by
meena.p
1
answer
Heat generated in a circuit is given by $H=I^2Rt$, $I$ is current $R$ is resistance, $t$ is time. If percentage error in measuring $I$, $R$ and $t$ are $2 \%,1\%$ and $1\%$ respectively. what is the maximum error in measuring heat
jeemain
physics
class11
ch2
units-and-measurement
q45
easy
accuracy-precision-and-errors-in-measurement
asked
Jun 19, 2013
by
meena.p
1
answer
Find the dimension of physical quantity $X$ in the equation $Force=\large\frac{X}{Density}$
jeemain
physics
class11
ch2
units-and-measurement
q44
easy
dimensional-formulae-and-analysis
cbse11
ch1
asked
Jun 19, 2013
by
meena.p
2
answers
The following equation describe the motion of object where $x$ is displacement, $v,v_0$ are velocities, $m$ mass $V=Axe^{Bm}-\large\frac{c^2}{v^0}$. What must be the unit of $A$ and $B$?
jeemain
physics
class11
ch2
units-and-measurement
q43
easy
international-system-of-units
asked
Jun 18, 2013
by
meena.p
1
answer
The kinetic energy of rotation k depends on angular momentum J and moment of inertia I.The expression for kinetic energy is ( where c is a constant )
jeemain
physics
class11
ch2
units-and-measurement
q42
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
Curie is a unit of
jeemain
physics
class11
ch2
units-and-measurement
q41
easy
international-system-of-units
asked
Jun 18, 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
jeemain
physics
class11
ch2
units-and-measurement
q40
medium
accuracy-precision-and-errors-in-measurement
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
jeemain
physics
class11
ch2
units-and-measurement
q39
medium
accuracy-precision-and-errors-in-measurement
asked
Jun 18, 2013
by
meena.p
1
answer
The volume of a cube is $1.83 \;cm^3$. Find the volume of $25$ such identical cubes to correct number of significant figures.
jeemain
physics
class11
ch2
units-and-measurement
q38
easy
significant-figure
asked
Jun 18, 2013
by
meena.p
1
answer
Dimensional analysis of equation (velocity)$^x$=(pressure difference)$^{\Large\frac{3}{2}}$(density)$^{\Large\frac{-3}{2}}$ give values of $x$ to be
jeemain
physics
class11
ch2
units-and-measurement
q37
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
If pressure $P$, velocity $V$ and $T$ are taken as fundamental physical quantities the dimensional formula of force is
jeemain
physics
class11
ch2
units-and-measurement
q36
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
Energy density and pressure have
jeemain
physics
class11
ch2
units-and-measurement
q35
easy
international-system-of-units
asked
Jun 18, 2013
by
meena.p
1
answer
Of the following quantities which one has dimensions different from the remaining three ?
jeemain
physics
class11
ch2
units-and-measurement
q34
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
The dimensions of $RC$ is same as that of
jeemain
physics
class11
ch2
units-and-measurement
q33
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
$ML^{-1}T^{-2}$ represents
jeemain
physics
class11
ch2
units-and-measurement
q32
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
If $h$ - is plank constant,e charge then dimension of ohm is same as
jeemain
physics
class11
ch2
units-and-measurement
q21
medium
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
If $m$ is mass, $'Q'$ is charge and $B$ is magnetic induction $\large\frac{m}{BQ}$ has same dimension as
jeemain
physics
class11
ch2
units-and-measurement
q31
easy
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
If fundamental units of mass, length and time are each doubled, what happens to unit of energy
jeemain
physics
class11
ch2
units-and-measurement
q30
easy
dimensional-formulae-and-analysis
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
jeemain
physics
class11
ch2
units-and-measurement
q29
medium
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
When a copper sphere is heated maximum percentage change will be observed in
jeemain
physics
class11
ch2
units-and-measurement
q27
easy
accuracy-precision-and-errors-in-measurement
asked
Jun 18, 2013
by
meena.p
1
answer
The physical quantity not having the same dimensions are
jeemain
physics
class11
ch2
units-and-measurement
q26
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
Dimensionless quantity
jeemain
physics
class11
ch2
units-and-measurement
q25
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
The dimensions of $RC$, where $R$ is resistence and $C$ is capacitance are same as that of
jeemain
physics
class11
ch2
units-and-measurement
q24
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
The dimensions of $CV^2$ match with the dimensions of
jeemain
physics
class11
ch2
units-and-measurement
q23
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
Dimensional formula for the product of two physical quantities $P$ and $Q$ is $ ML^2T^{-2}$. The dimensional formula for $\large \frac{P}{Q}$ is $ML^0T^{-2}$. $P$ and $Q$ are
jeemain
physics
class11
ch2
units-and-measurement
q22
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
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