A)
\[\frac{R}{{{v}_{0}}}{{e}^{-2\pi }}\]
done
clear
B)
\[\frac{R}{{{v}_{0}}}(1-{{e}^{-2\pi }})\]
done
clear
C)
\[\frac{R}{{{v}_{0}}}\]
done
clear
D)
\[\frac{2R}{{{v}_{0}}}\]
done
clear
View Answer play_arrow
A)
\[\sqrt{2gh\left( \frac{n+1}{n} \right)}\]
done
clear
B)
\[\sqrt{2gh}\]
done
clear
C)
\[\sqrt{2gh\left( \frac{n}{n+1} \right)}\]
done
clear
D)
\[\sqrt{2gh\left( \frac{n-1}{n} \right)}\]
done
clear
View Answer play_arrow
A)
The other end also moves uniformly
done
clear
B)
The speed of other end goes on decreasing
done
clear
C)
The speed of other end goes on increasing
done
clear
D)
The speed of other end first decreases and then increases
done
clear
View Answer play_arrow
A)
\[\frac{1}{2}m\frac{v}{{{t}_{1}}}{{t}^{2}}\]
done
clear
B)
\[m\frac{v}{{{t}_{1}}}{{t}^{2}}\]
done
clear
C)
\[\frac{1}{2}{{\left( \frac{mv}{{{t}_{1}}} \right)}^{2}}{{t}^{2}}\]
done
clear
D)
\[\frac{1}{2}m\frac{{{v}^{2}}}{t_{2}^{1}}{{t}^{2}}\]
done
clear
View Answer play_arrow
A)
\[\frac{3}{4}\frac{V}{L}\]clockwise
done
clear
B)
\[\frac{4}{43}\frac{V}{L}\]clockwise
done
clear
C)
\[\frac{3}{4}\frac{V}{L}\] counterclockwise
done
clear
D)
\[\frac{V}{L}\] counterclockwise
done
clear
View Answer play_arrow
A)
\[m\]
done
clear
B)
\[\sqrt{2}m\]
done
clear
C)
\[\sqrt{3}m\]
done
clear
D)
\[8m\]
done
clear
View Answer play_arrow
A)
\[2\pi r{{\rho }_{2}}gh\]
done
clear
B)
\[\frac{{{\rho }_{2}}rgh}{2}\]
done
clear
C)
\[\frac{gh({{\rho }_{1}}-{{\rho }_{2}})r}{2}\]
done
clear
D)
\[2pr({{\rho }_{2}}-{{\rho }_{1}})\]
done
clear
View Answer play_arrow
A)
\[20.3\text{ }Nm\]
done
clear
B)
\[37.8\text{ }Nm\]
done
clear
C)
\[31.48\text{ }Nm\]
done
clear
D)
\[2.0045\text{ }Nm\]
done
clear
View Answer play_arrow
A)
\[V\]
done
clear
B)
\[2V\]
done
clear
C)
\[4V\]
done
clear
D)
\[-2V\]
done
clear
View Answer play_arrow
A)
\[\frac{I\rho }{2\pi r}\]
done
clear
B)
\[\frac{I\rho }{2\pi }\left[ \frac{1}{b}-\frac{1}{r} \right]\]
done
clear
C)
\[\frac{I\rho }{2\pi b}\,In\,\frac{r}{b}\]
done
clear
D)
\[\frac{I\rho }{4\pi b}\,In\,\frac{r}{b}\]
done
clear
View Answer play_arrow
A)
\[281.25\,mH\]
done
clear
B)
\[312.75\,mH\]
done
clear
C)
\[450.00\,mH\]
done
clear
D)
\[225.50\,mH\]
done
clear
View Answer play_arrow
A)
\[\theta ={{\sin }^{-1}}\left( \frac{3}{8} \right)\]
done
clear
B)
\[\theta ={{\sin }^{-1}}\left( \frac{1}{2} \right)\]
done
clear
C)
\[\theta ={{\sin }^{-1}}\left( \frac{1}{3} \right)\]
done
clear
D)
\[\theta ={{\sin }^{-1}}\left( \frac{1}{\sqrt{12}} \right)\]
done
clear
View Answer play_arrow
A)
\[\frac{135}{\pi }\mu m\]
done
clear
B)
\[\frac{180}{\pi }\mu m\]
done
clear
C)
\[\frac{150}{\pi }\mu m\]
done
clear
D)
None of these
done
clear
View Answer play_arrow
A)
\[\frac{25\,m}{24\,hR}\]
done
clear
B)
\[\frac{24\,m}{25\,hR}\]
done
clear
C)
\[\frac{150\,hR}{25\,m}\]
done
clear
D)
\[\frac{25\,hR}{24\,m}\]
done
clear
View Answer play_arrow
A)
\[\frac{{{\lambda }_{1}}+{{\lambda }_{2}}}{2Dd}\]
done
clear
B)
LCM of \[\frac{{{\lambda }_{1}}D}{d}\]and \[\frac{{{\lambda }_{2}}D}{d}\]
done
clear
C)
\[\left( {{\lambda }_{1}}-{{\lambda }_{2}} \right)\frac{2D}{D}\]
done
clear
D)
HCF of \[\frac{{{\lambda }_{1}}D}{d}\] and \[\frac{{{\lambda }_{2}}D}{d}\]
done
clear
View Answer play_arrow
A)
30 volts
done
clear
B)
90 volts
done
clear
C)
120 volts
done
clear
D)
220 volts
done
clear
View Answer play_arrow
A)
\[0,\frac{\varepsilon }{2R}\] and \[\frac{\varepsilon }{2}\]
done
clear
B)
\[0,\frac{\varepsilon }{R}\] and \[\frac{\varepsilon }{2}\]
done
clear
C)
\[0,\frac{\varepsilon }{2R}\] and \[\frac{5\varepsilon }{2}\]
done
clear
D)
\[0,\frac{\varepsilon }{2R}\] and \[\frac{3\varepsilon }{2}\]
done
clear
View Answer play_arrow
A)
\[180\,W\]
done
clear
B)
\[20\,W\]
done
clear
C)
\[40\,W\]
done
clear
D)
\[60\,W\]
done
clear
View Answer play_arrow
A)
(i) and (iv)
done
clear
B)
(ii) and (iii)
done
clear
C)
(i) and (iii)
done
clear
D)
(ii) and (iv)
done
clear
View Answer play_arrow
A)
1 and 3 at higher (positive) potential and 2 and 4 at lower (negative) potential
done
clear
B)
1 and 3 at lower potential and 2 and 4 at higher potential
done
clear
C)
1 and 4 at higher potential and 2 and 3 at lower potential
done
clear
D)
1 and 4 at lower potential and 2 and 3 at higher potential
done
clear
View Answer play_arrow
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View Answer play_arrow
A)
\[s{{p}^{2}},\text{ }s{{p}^{3}}and\text{ }s{{p}^{2}}\]
done
clear
B)
\[s{{p}^{2}},\text{ }s{{p}^{3}}and\text{ }s{{p}^{3}}\]
done
clear
C)
\[s{{p}^{3}},\text{ }s{{p}^{3}}and\text{ }s{{p}^{3}}\]
done
clear
D)
\[s{{p}^{2}},\text{ }s{{p}^{2}}and\text{ }s{{p}^{2}}\]
done
clear
View Answer play_arrow
A)
0.265
done
clear
B)
0.795
done
clear
C)
1.06
done
clear
D)
3.18
done
clear
View Answer play_arrow
A)
The first ionization energies (in\[KJ\text{ }mo{{l}^{-1}}\]) of carbon, silicon, germanium, tin, and lead are 1086, 786, 761, 708 and 715 respectively.
done
clear
B)
Down the group, ionization energy decreases regular from B to Tl in boron family
done
clear
C)
Among oxides of the elements of carbon family, \[CO\]is neutral, \[GeO\] is acidic and \[SnO\] is amphoteric
done
clear
D)
The 4f- and 5f-inner transition elements are placed separately at the bottom of the periodic table
done
clear
View Answer play_arrow
A)
Maximum polarisation is done by a cation of high charge
done
clear
B)
A large cation is likely to bring large degree of polarization
done
clear
C)
A smaller anion is likely to undergo a high degree of polarization
done
clear
D)
Minimum polarisation is done by a cation of small size
done
clear
View Answer play_arrow
A)
\[\lambda /2\]
done
clear
B)
\[\lambda \]
done
clear
C)
\[2\lambda \]
done
clear
D)
\[4\lambda \]
done
clear
View Answer play_arrow
A)
The rate of collision increases
done
clear
B)
The energy of gaseous molecules increases
done
clear
C)
The number of mole of the gas increases
done
clear
D)
Pressure of the gas increases
done
clear
View Answer play_arrow
A)
4
done
clear
B)
8
done
clear
C)
16
done
clear
D)
32
done
clear
View Answer play_arrow
A)
\[N{{H}_{4}}OH+N{{H}_{4}}Cl\]
done
clear
B)
\[C{{H}_{3}}COOH+C{{H}_{3}}COON{{H}_{4}}\]
done
clear
C)
\[C{{H}_{3}}COOH+C{{H}_{3}}COONa\]
done
clear
D)
All of these
done
clear
View Answer play_arrow
A)
\[-338\,cals\]
done
clear
B)
\[-366\,cals\]
done
clear
C)
\[-434\text{ }cals\]
done
clear
D)
\[-462\text{ }cals\]
done
clear
View Answer play_arrow
A)
Hexagonal void
done
clear
B)
Octahedral void
done
clear
C)
Tetrahedral void
done
clear
D)
Double triangular void
done
clear
View Answer play_arrow
A)
\[1000.173{}^\circ C\]
done
clear
B)
\[100.0173{}^\circ C\]
done
clear
C)
\[100.173{}^\circ C\]
done
clear
D)
None
done
clear
View Answer play_arrow
A)
m/2
done
clear
B)
m/3
done
clear
C)
m/4
done
clear
D)
\[\frac{m}{63.5}\]
done
clear
View Answer play_arrow
A)
\[-1\]
done
clear
B)
\[-2\]
done
clear
C)
0
done
clear
D)
+1
done
clear
View Answer play_arrow
A)
\[0.64\times {{10}^{3}}\]
done
clear
B)
\[0.80\times {{10}^{3}}\]
done
clear
C)
\[1.28\times {{10}^{-1}}\]
done
clear
D)
\[1.60\times {{10}^{-3}}\]
done
clear
View Answer play_arrow
A)
\[{{\left( C{{H}_{3}} \right)}_{3}}C\]
done
clear
B)
done
clear
C)
done
clear
D)
\[C{{H}_{3}}-{{\left( C{{H}_{2}} \right)}_{4}}-CH\left( C{{H}_{3}} \right)-C{{\left( C{{H}_{3}} \right)}_{3}}\]
done
clear
View Answer play_arrow
A)
Identical
done
clear
B)
Enantiomers
done
clear
C)
Diastereomers
done
clear
D)
Different compounds
done
clear
View Answer play_arrow
A)
I in both case
done
clear
B)
I, II
done
clear
C)
I, III
done
clear
D)
II, I
done
clear
View Answer play_arrow
A)
Methane
done
clear
B)
Ethane
done
clear
C)
Propane
done
clear
D)
Ethylene
done
clear
View Answer play_arrow
A)
\[{{H}_{3}}C-\underset{H}{\overset{{{C}_{2}}{{H}_{5}}}{\mathop{\underset{|}{\overset{|}{\mathop{C}}}\,}}}\,-C{{H}_{2}}Br\xrightarrow[{{S}_{{{N}^{1}}}}]{O{{H}^{-}}}\]
done
clear
B)
\[C{{D}_{3}}-\overset{{{C}_{2}}{{H}_{5}}}{\mathop{\overset{|}{\mathop{C}}\,}}\,H-C{{H}_{2}}Br~\xrightarrow[{{S}_{{{N}^{1}}}}]{O{{H}^{-}}}\]
done
clear
C)
done
clear
D)
All of these
done
clear
View Answer play_arrow
A)
Phenol
done
clear
B)
Ethene
done
clear
C)
Benzene
done
clear
D)
Aniline
done
clear
View Answer play_arrow
View Answer play_arrow
View Answer play_arrow
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View Answer play_arrow
A)
12
done
clear
B)
10
done
clear
C)
8
done
clear
D)
6
done
clear
View Answer play_arrow
A)
f is continuous and differentiable at every point
done
clear
B)
f is continuous at every point but not differentiable
done
clear
C)
f is differentiable at every point
done
clear
D)
f is differentiable only at the origin
done
clear
View Answer play_arrow
A)
ab
done
clear
B)
abe
done
clear
C)
\[\frac{e}{ab}\]
done
clear
D)
\[\frac{ab}{e}\]
done
clear
View Answer play_arrow
A)
\[\pi \]
done
clear
B)
\[\frac{\pi }{2}\]
done
clear
C)
\[\frac{\pi }{4}\]
done
clear
D)
1
done
clear
View Answer play_arrow
A)
\[2\sqrt{5}\]
done
clear
B)
\[6\sqrt{2}\]
done
clear
C)
\[4\sqrt{5}\]
done
clear
D)
\[6\sqrt{5}\]
done
clear
View Answer play_arrow
A)
\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+2xy=Q\]
done
clear
B)
\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}=2xy\]
done
clear
C)
\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}=xy\]
done
clear
D)
\[({{x}^{2}}-{{y}^{2}})\frac{dy}{dx}+xy=0\]
done
clear
View Answer play_arrow
A)
\[{{x}^{2}}+{{y}^{2}}+4x-6y+19=0\]
done
clear
B)
\[{{x}^{2}}+{{y}^{2}}-4x-10y+19=0\]
done
clear
C)
\[{{x}^{2}}+{{y}^{2}}-2x-6y+29=0\]
done
clear
D)
\[{{x}^{2}}+{{y}^{2}}-6x-4y+19=0\]
done
clear
View Answer play_arrow
A)
\[\operatorname{f}\left( g\left( x\,+1 \right) \right)>f\left( g\left( x+5 \right) \right)\]
done
clear
B)
\[\operatorname{f}(g\left( x \right))<f\left( g\left( f(x+2 \right) \right)\]
done
clear
C)
\[\operatorname{g}\left( f(x \right))<g\left( f\left( x+2 \right) \right)\]
done
clear
D)
\[\operatorname{g}\left( f(x \right))<g\left( f\left( x-2 \right) \right)\]
done
clear
View Answer play_arrow
A)
\[\left( -\,\infty ,\,\,\infty \right)\]
done
clear
B)
\[\left[ 0,\,\,\infty \right)\]
done
clear
C)
\[\left( -\infty ,\,\,0 \right]\]
done
clear
D)
\[\operatorname{R}\,/\left[ 0,\,\,1 \right]\]
done
clear
View Answer play_arrow
A)
12
done
clear
B)
3
done
clear
C)
8
done
clear
D)
4
done
clear
View Answer play_arrow
A)
\[{{\left( \frac{x-7}{3} \right)}^{1/2}}\]
done
clear
B)
\[{{\left( \frac{x+7}{3} \right)}^{1/2}}\]
done
clear
C)
\[{{\left( \frac{x-3}{7} \right)}^{1/2}}\]
done
clear
D)
\[{{\left( \frac{x+3}{7} \right)}^{1/2}}\]
done
clear
View Answer play_arrow
A)
\[{{\operatorname{x}}^{2}}+{{y}^{2}}={{c}^{2}}/2\]
done
clear
B)
\[{{\operatorname{x}}^{2}}+{{y}^{2}}=2{{c}^{2}}\]
done
clear
C)
\[{{\operatorname{x}}^{2}}+{{y}^{2}}={{c}^{2}}\]
done
clear
D)
\[{{\operatorname{x}}^{2}}-{{y}^{2}}={{c}^{2}}\]
done
clear
View Answer play_arrow
A)
\[2\,\,ta{{n}^{5}}\,\sqrt{x}+c\]
done
clear
B)
\[\frac{1}{5}\,ta{{n}^{5}}\,\sqrt{x}+c\]
done
clear
C)
\[\frac{2}{5} ta{{n}^{5}}\,\sqrt{x}+c\]
done
clear
D)
None of these
done
clear
View Answer play_arrow
A)
\[\alpha \]
done
clear
B)
\[2\alpha \]
done
clear
C)
\[-\alpha \]
done
clear
D)
\[-2\alpha \]
done
clear
View Answer play_arrow
A)
0
done
clear
B)
1
done
clear
C)
2
done
clear
D)
4
done
clear
View Answer play_arrow
A)
It is inconsistent
done
clear
B)
It has only single solution \[\operatorname{x}=0,\,\,y=0,z=0\]
done
clear
C)
Determinant of coefficient of matrix is zero
done
clear
D)
It has infinitely many solutions
done
clear
View Answer play_arrow
A)
2
done
clear
B)
3
done
clear
C)
4
done
clear
D)
5
done
clear
View Answer play_arrow
A)
\[\frac{c(a-b)}{{{a}^{2}}}\]
done
clear
B)
0
done
clear
C)
\[\frac{-bc}{{{a}^{2}}}\]
done
clear
D)
abc
done
clear
View Answer play_arrow
A)
The line of intersection of \[{{P}_{1}}\,\,and\,\,{{P}_{2}}\] has direction ratios 1, 2, -1.
done
clear
B)
The line \[\frac{3x-4}{9}=\frac{1-3y}{9}=\frac{z}{3}\] is perpendicular to the line of intersection of \[{{\operatorname{P}}_{1}}\,\,and\,\,{{P}_{2}}\].
done
clear
C)
The acute angle between \[{{\operatorname{P}}_{1}}\,\,and\,\,{{P}_{2}}\] is \[45{}^\circ \].
done
clear
D)
If \[{{P}_{3}}\] is the plane passing through the point (4, 2, -2) and perpendicular to the line of intersection of \[{{\operatorname{P}}_{1}}\,\,and\,\,{{P}_{2}}\], then the distance of the point (2, 1, 1) from the plane \[{{P}_{3}}\,\,is\,\,\frac{2}{\sqrt{3}}\].
done
clear
View Answer play_arrow
A)
\[{{e}^{\frac{1}{\pi }}}\]
done
clear
B)
\[{{e}^{\frac{2}{\pi }}}\]
done
clear
C)
\[{{e}^{\pi }}\]
done
clear
D)
\[{{e}^{\frac{3}{\pi }}}\]
done
clear
View Answer play_arrow
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