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JEEMAIN PAST PAPERS
Excess pressure inside one soap bubble is three times that inside second soap bubble. Find the ratio of volume of first bubble to second.
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q19
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A capillary of shapes as shown is dipped in a liquid. Contact angle between liquid minisues is to be neglected . T is surface tension of liquid, r is radius of meniscus g is acceleration due to gravity $\rho$ is density of the liquid then height h in equillibrium is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q18
medium
asked
Oct 3, 2013
by
meena.p
1
answer
As square box of water has a small hole located in one of the bottom corner. When the box is full and sitting on level surface complete opening of the hole results in a flow of water with speed $v_0.$ When box is half empty, it is lilted by $45^{\circ}$. So that the hole is at lowest position. Now the water will flow with speed of
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q17
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A cylindrical vessel filled with water is released on an in inclined plane of angle $\theta$ as shown. The coefficient of friction of surfaces is $(\mu ( < \tan \theta)$. Then the contact angle made by the surface of water with the incline is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q16
medium
asked
Oct 3, 2013
by
meena.p
1
answer
Velocity of the liquid coming out of a small hole of u vessel containing two different liquids of density $2 \rho$ ans $\rho$ as shown is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q15
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A steel wire $1.5\;m$ long and radius $1\;mm$ is attached with a load of $3 \;Kg$ at one end and the other end of he wire is fixed. It is wirled in a vertical circle with frequency $2\;Hz$. find the elongation of the wire when the weight is at the lowest position. $[Y=2 \times 10^{11} N/m^2 \quad g=10m/s^2]$
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q14
medium
asked
Oct 3, 2013
by
meena.p
1
answer
The bulk modulus of elasticity of helium at 1 atmospheric pressure, assuming variation of pressure and volume is adiabatic, is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q13
easy
asked
Oct 3, 2013
by
meena.p
1
answer
A wire breaks when subjected to a stress S. If $\rho$ is the density of the material of wire, then the length of the wire. So that it breaks by its own weight is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q12
easy
asked
Oct 3, 2013
by
meena.p
1
answer
A steel wire of uniform cross- sectional area $2\;mm^2$ in heated upto $50^{\circ}C$ and is stretched by clamping its two ends rigidly. The change in tension when the temperature falls from $50^{\circ}C$ to $30^{\circ}C$ is $( \alpha =1.1 \times 10^{-5} C)\;(Y=2.0 \times 10^{11} N/ m^2)$
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q11
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A wire of length L and cross-sectional area A is made of material of Young's modulus Y. The work done in stretching the wire by an amount x is given by
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q10
medium
asked
Oct 3, 2013
by
meena.p
2
answers
Four identical hollow cylindrical column of steel support a big structure of mass $50000\;kg$. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming load distribution to be uniform , the compressional strain of each column is $ [y_{steel}=2.0 \times 10^{11} Nm^{-2}]$
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q9
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A metal plate of cross-sectional area rests on a layer of caster oil $(\eta= 15.5 p) \;0.2\;cm$ thick. Calculate the horizontal force required to move the plate with a speed of $3 cm/s$
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q8
medium
asked
Oct 3, 2013
by
meena.p
1
answer
The stress versus strain graph for wires of two material A and B are as shown. If $Y_A$ and $Y_B$ are the Young's modulus of materials then
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q7
medium
asked
Oct 3, 2013
by
meena.p
1
answer
A steel wire of $40\;m$ in length is stretched through $2.0\; mm.$ The cross sectional area of the wire is $2.0 \;mm^2$ . If young's modulus of steel is $2.0 \times 10^{11}\;N/m^2$ the energy density of wire is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q6
medium
asked
Oct 2, 2013
by
meena.p
1
answer
What is the work done in splitting a drop of water 1 mm radius into $10^6$ droplets (surface tension of water $= 72 \times 10^{-3} \; J/m^2$)
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q5
medium
asked
Oct 2, 2013
by
meena.p
1
answer
A sample of liquid has an initial volume of $1.5 \;l$. The volume is reduced to $0.2 ml$ . When the pressure increased by $140\;R\;pa$. What is bulk modulus of liquid
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q4
medium
asked
Oct 2, 2013
by
meena.p
1
answer
The elastic energy stored in a write of young's modulus Y is
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q3
easy
asked
Oct 2, 2013
by
meena.p
1
answer
Water rises to a height of 20 mm in a capillary . If the radius of the capillary is made $\large\frac{1}{3}$rd of its precious is made then what is the new value of the capillary rise?
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q2
easy
asked
Oct 2, 2013
by
meena.p
1
answer
A tank filled with water has a hole at a certain height from its bottom. The volume of water emerging out per second from the hole does not depend on
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q1
easy
mock
asked
Oct 2, 2013
by
meena.p
1
answer
If $t_n=\bigg(1+\large\frac{1}{n}\bigg)$$^n$ for $n\in N$, then $t_n$ lies in the interval?
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
difficult
asked
Oct 1, 2013
by
rvidyagovindarajan_1
1
answer
$8^n-7n-1$ is divisible by ? where $n\in N$
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
easy
asked
Oct 1, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficients of $2^{nd},3^{rd}\:and\:4^{th}$ terms in the expansion of $(1+x)^{2n} $ are in A.P., then $n=?$
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
medium
asked
Sep 26, 2013
by
rvidyagovindarajan_1
1
answer
If $\large\frac{T_2}{T_3}$ in the expansion of $(a+b)^n$ and $\large\frac{T_3}{T_4}$ in the expansion of $(a+b)^{n+3}$ are equal, then $n=?$
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 26, 2013
by
rvidyagovindarajan_1
1
answer
The coefficients of $x^p$, and $x^q$ in the expansion of $(1+x)^{p+q}$ are
jeemain
math
class11
binomial-theorem
ch8
general-and-middle-terms
easy
asked
Sep 26, 2013
by
rvidyagovindarajan_1
1
answer
In the binomial expansion of $(1+ax)^n$, the first three terms are $1+12x+64x^2$, then $n=?$
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 26, 2013
by
rvidyagovindarajan_1
1
answer
$^nC_0$ - $\large\frac{^nC_1}{2}$ + $\frac{^nC_2}{3}$ - ...... = ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
difficult
asked
Sep 26, 2013
by
rvidyagovindarajan_1
1
answer
$^nC_1$ + $2.^nC_2$ + $3.^nC_3$ + ..... + $n.^nC_n$ = ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
difficult
asked
Sep 24, 2013
by
rvidyagovindarajan_1
1
answer
The sum of coefficients of odd powers of $x$ in the expansion $(1+x)^{50}$ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
asked
Sep 24, 2013
by
rvidyagovindarajan_1
1
answer
If the sum of odd numbered terms and even numbered terms in the expansion of $(x+a)^n$ are $A,B$, then $(x^2-a^2)^n=?$
jeemain
math
class11
ch8
binomial-theorem
properties-and-application
medium
asked
Sep 24, 2013
by
rvidyagovindarajan_1
1
answer
The no. of terms in the expansion $(x+y+z)^{10}$ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
asked
Sep 24, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficient of $(2r+4)^{th}$ and $(r-2)^{th}$ terms in the expansion of $(1+x)^{18} $ are equal, then $r=?$
jeemain
math
class11
ch8
binomial-theorem
properties-and-applications
easy
asked
Sep 24, 2013
by
rvidyagovindarajan_1
1
answer
If the third term in the expansion of $\bigg(\large\frac{1}{x}$$+ x^{log_{10}x}\bigg)^5$ is 1000, then $x$ = ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 23, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficient of $x^2$ and $x^3$ in the expansion of $(3+ax)^9$ are same, then the value of $a$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The $5^{th}$ term from the end in the expansion of $\bigg(\large\frac{x^3}{2}-\frac{2}{x}\bigg)^{12}$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The middle term in the expansion $(1+x)^{2n}$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 19, 2013
by
rvidyagovindarajan_1
1
answer
The term independent of $x$ in the expansion $(2x-\large\frac{1}{3x})^6$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
If $x=\large\frac{1}{3}$, the greatest term in the expansion of $(1+4x)^8$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficient of middle terms in $(1+\alpha x)^4$ and $(1-\alpha x)^6$ is same then $\alpha =?$
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
medium
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
The coefficient of $x^7$ in the expansion $(1-x-x^2+x^3)^6$ is ?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
difficult
asked
Sep 17, 2013
by
rvidyagovindarajan_1
1
answer
In the binomial expansion of $(a-b)^n,\:n\geq 5$ the sum of $5^{th}$ and $6^{th}$ term is $0$, then $\large\frac{a}{b}$=?
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 16, 2013
by
rvidyagovindarajan_1
1
answer
If the coefficient of $x^7$ in $\big(ax^2+\large\frac{1}{bx}\big)^{11}$ is equal to coefficient of $x^{-7}$ in $\big(ax-\large\frac{1}{bx^2}\big)^{11}$, then $a$ and $b$ satisfy the relation
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 15, 2013
by
rvidyagovindarajan_1
1
answer
The coefficient of $x^n$ in the expansion $(1+x)(1-x)^n$ is
jeemain
math
class11
ch8
binomial-theorem
general-and-middle-terms
easy
asked
Sep 15, 2013
by
rvidyagovindarajan_1
1
answer
The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?
jeemain
math
class11
ch8
binomial-theorem
positive-integral-index
easy
asked
Sep 15, 2013
by
rvidyagovindarajan_1
2
answers
$S=\{1,2,3..............12\}$ $A,B,C $ are disjoint equivalent subsets of $S$ so that $A\cup B\cup C=S$. How many such sets $A,B,C$ can be formed?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 14, 2013
by
rvidyagovindarajan_1
1
answer
There are 9 Judges in a beauty contest. A particular candidate is selected as the winner if she gets maximum number of votes in favour. In how many ways a particular candidate is declared the winner?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
For $n\geq 4$, $1!+2!+3!+4!+.....n!$ is always
jeemain
math
class11
ch7
permutations-and-combinations
fundamental-principle-of-counting
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
There are 10 men. 5 of them are to be selected for a team. In how many ways this can be done if a particular person is to be selected in the team and if A is selected then B also is to be selected?
jeemain
math
class11
ch7
permutations-and-combinations
combinations
medium
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^nC_3=220$, then $n=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
If $^{a^2-a}C_2=^{a^2-a}C_4,$ then $a=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
$^nC_r+2.^nC_{r-1}+^nC_{r-2}=?$
jeemain
math
class11
ch7
permutations-and-combinations
combinations
easy
asked
Sep 6, 2013
by
rvidyagovindarajan_1
1
answer
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