Recent questions tagged class11

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

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

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

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

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. $[Y=2 \times 10^{11} N/m^2 \quad g=10m/s^2]$

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

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

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 $( \alpha =1.1 \times 10^{-5} C)\;(Y=2.0 \times 10^{11} N/ m^2)$

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

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}]$

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 $3 cm/s$

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

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

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 $= 72 \times 10^{-3} \; J/m^2$)

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

asked Oct 2, 2013 by meena.p

1 answer

The elastic energy stored in a write of young's modulus Y is

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?

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

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?

asked Oct 1, 2013 by rvidyagovindarajan_1

1 answer

$8^n-7n-1$ is divisible by ? where $n\in N$

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 $n=?$

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 $n=?$

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

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 $n=?$

asked Sep 26, 2013 by rvidyagovindarajan_1

1 answer

$^nC_0$ - $\large\frac{^nC_1}{2}$ + $\frac{^nC_2}{3}$ - ...... = ?

asked Sep 26, 2013 by rvidyagovindarajan_1

1 answer

$^nC_1$ + $2.^nC_2$ + $3.^nC_3$ + ..... + $n.^nC_n$ = ?

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 ?

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 $(x^2-a^2)^n=?$

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

The no. of terms in the expansion $(x+y+z)^{10}$ is ?

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 $r=?$

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 $x$ = ?

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 ?

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 ?

asked Sep 19, 2013 by rvidyagovindarajan_1

1 answer

The middle term in the expansion $(1+x)^{2n}$ is ?

asked Sep 19, 2013 by rvidyagovindarajan_1

1 answer

The term independent of $x$ in the expansion $(2x-\large\frac{1}{3x})^6$ is ?

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 ?

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 $\alpha =?$

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 ?

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 $\large\frac{a}{b}$=?

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

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The coefficient of $x^n$ in the expansion $(1+x)(1-x)^n$ is

asked Sep 15, 2013 by rvidyagovindarajan_1

1 answer

The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?

asked Sep 15, 2013 by rvidyagovindarajan_1

2 answers