Two circuits (a) and (b) have charged capacitors of capacitance C, 2C and 3C with open switches. Charges on
each of the capacitor are as shown in the figures. On closing the switches
Circuit (a) Circuit (b)
a.
No charge flows in (a) but charge flows from $R$
to $L$ in (b)
b.
Charges flow from $L$ to $R$ in both (a) and (b)
c.
Charges flow from $R$ to $L$ in (a) and from $L$ to $R$
in (b)
Correct Answer
d.
No charge flows in (a) but charge flows from $L$
to $R$ in (b)
No explanation saved for this question yet.
Q2mcq
A sample originally contained $10^{20}$ radioactive atoms, which emit $\alpha$ -particles. The ratio of $\alpha$ particles emitted
in the third year to that emitted during the second year is $0.3$ . How many $\alpha$ particles were emitted in the first
year?
a.
$3 \times 10^{18}$
b.
$3 \times 10^{19}$
Correct Answer
c.
$5 \times 10^{18}$
d.
$7 \times 10^{19}$
No explanation saved for this question yet.
Q3mcq
Broadcasting antennas are generally
a.
vertical type
Correct Answer
b.
both vertical and horizontal type
c.
omni directional type
d.
horizontal type
No explanation saved for this question yet.
Q4mcq
A circular hole of diameter $R$ is cut from a disc of mass $M$ and radius $R$ ; the circumference of the cut passes
through the centre of the disc. The moment of inertia of the remaining portion of the disc about an axis
perpendicular to the disc and passing through its centre is
a.
$(\frac{15}{32})MR^{2}$
b.
$( \frac{1}{8})MR^{2}$
c.
$(\frac{3}{8})MR^{2}$
d.
$( \frac{13}{32})MR^{2}$
Correct Answer
No explanation saved for this question yet.
Q5mcq
Two polaroids have their polarizing directions parallel so that the intensity of a transmitted light is maximum.
The angle through which either polaroid must be turned if the intensity is to drop by one-half is
a.
$135^{\circ }$
Correct Answer
b.
$90^{\circ }$
c.
$120^{\circ }$
d.
$180^{\circ }$
No explanation saved for this question yet.
Q6mcq
The velocity of certain ions that pass undeflected through crossed electric field $E = 7.7kV/m$ and magnetic
field $B= 0.14\,T$ is
a.
$18\,km/s$
b.
$77\,km/s$
c.
$55\,km/s$
Correct Answer
d.
$1078\,km/s$
No explanation saved for this question yet.
Q7mcq
A structural steel rod has a radius of $10\,mm$ and length of $1.0\,m$ . A $100kN$ force stretches it along its length.
Young's modulus of structural steel is $2 \times 10^{11}Nm^{-2}$ . The percentage strain is about
a.
$0.16%$
Correct Answer
b.
$0.32%$
c.
$0.08%$
d.
$0.24%$
No explanation saved for this question yet.
Q8mcq
Following are expressions for four plane simple harmonic waves (i) $y_{1} =Acos 2\pi (n_{1}t+ \frac{x}{\lambda _{1}})$ (ii)
$y_{2} =Acos 2\pi (n_{1}t+ \frac{x}{\lambda _{1}} +\pi )$ (iii) $y_{3} =Acos 2\pi (n_{2}t+ \frac{x}{\lambda _{2}} )$ (iv) $y_{4} =Acos 2\pi (n_{2}t- \frac{x}{\lambda _{2}})$ The pairs of
waves which will produce destructive interference and stationary waves respectively in a medium, are
a.
(iii, iv), (i, ii)
b.
(i, iii), (ii, iv)
c.
(i, iv), (ii, iii)
d.
(i, ii), (iii, iv)
Correct Answer
No explanation saved for this question yet.
Q9mcq
Which of the following processes play a part in the formation of a rainbow? (i) Refraction (ii) Total internal
reflection (iii) Dispersion (iv) Interference
a.
(i), (ii) and (iii)
Correct Answer
b.
(i) and (ii)
c.
(i), (ii) and (iv)
d.
(iii) and (iv)
No explanation saved for this question yet.
Q10mcq
This question has Statement 1and Statement 2. Of the four choices given after the Statements, choose the one
that best describes the two Statements. Statement 1: In the resonance tube experiment, if the tuning fork is
replaced by another identical turning fork but with its arm having been filled, the length of the air column
should be increased to obtain resonance again. Statement 2: On filling the arms, the frequency of a tuning fork
increases.
a.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
b.
Statement 1 is true, Statement 2 is false.
c.
Statement 1 is false, Statement 2 is true.
Correct Answer
d.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
No explanation saved for this question yet.
🎉 10 Free Sample Solutions Completed
Unlock All 90 Questions & Solutions
Sign up free in seconds to unlock step-by-step AI answers for the remaining 80 questions.
The electron of a hydrogen atom makes a transition from the $(n+ 1)^{th\,}$ orbit to the $n^{th\,}$ orbit. For large $n$ the
wavelength of the emitted radiation is proportional to
a.
$n$
b.
$n^{3}$
c.
$n^{4}$
d.
$n^{2}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one
that best describes the two Statements. Statement 1: In an adiabatic process, change in internal energy of a gas
is equal to work done on/ by the gas in the process. Statement 2: The temperature of a gas remains constant in
an adiabatic process.
a.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
b.
Statement 1 is true, Statement 2 is false.
c.
Statement 1 is false, Statement 2 is true.
d.
Statement 1 is false, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one
that best describes the two Statements. Statement 1: The possibility of an electric bulb fusing is higher at the
time of switching $ON$ . Statement 2: Resistance of an electric bulb when it is not lit up is much smaller than
when it is lit up.
a.
Statement 1 is true, Statement 2 is false
b.
Statement 1 is false, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
c.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
d.
Statement 1 is false, Statement 2 is true.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A car of mass $1000\,kg$ is moving at a speed of 30 $m/s$ . Brakes are applied to bring the car to rest. If the net
retarding force is $5000\,N$ , the car comes to stop after travelling $d\,m$ in $t\,s$ . Then
a.
$d= 150,t= 5$
b.
$d= 120,t= 8$
c.
$d= 180,t= 6$
d.
$d= 90,t= 6$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A bar magnet of length $6\,cm$ has a magnetic moment of $4\,J\,T^{-1}$ . Find the strength of magnetic field at a
distance of $200\,cm$ from the centre of the magnet along its equatorial line.
a.
$4 \times 10^{-8}$ tesla
b.
$3.5 \times 10^{-8}$ tesla
c.
$5 \times 10^{-8}$ tesla
d.
$3 \times 10^{-8}$ tesla
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The electric potential $V(x)$ in a region around the origin is given by $V(x) = 4x^{2}$ volts. The electric charge
enclosed in a cube of $1\,m$ side with its centre at the origin is (in coulomb)
a.
$8\epsilon _{0}$
b.
$-4\epsilon _{0}$
c.
0
d.
$-8\epsilon _{0}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A square hole of side length $\ell$ is made at a depth of $h$ and a circular hole of radius $r$ is made at a depth of $4\,h$
from the surface of water in a water tank kept on a horizontal surface. If $\ell <<h,r<<h$ and the rate of water
flow from the holes is the same, then $r$ is equal to
a.
$\frac{\ell}{\sqrt{2\pi}}$
b.
$\frac{\ell}{\sqrt{3\pi}}$
c.
$\frac{\ell}{3\pi}$
d.
$\frac{\ell}{2\pi}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The load versus elongation graphs for four wires of same length and made of the same material are shown in
the figure. The thinnest wire is represented by the line
a.
$OA$
b.
$OC$
c.
$OD$
d.
$OB$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The graph of an object's motion (along the $x-$ axis) is shown in the figure. The instantaneous velocity of the
object at points $A$ and $B$ are $v_{A}$ and $v_{B}$ respectively. Then
a.
$v_{A} =v_{B} = 0.5\,m/s$
b.
$v_{A} = 0.5\,m/s <v_{B}$
c.
$v_{A} = 0.5\,m/s >v_{B}$
d.
$v_{A} =v_{B} = 2\,m/s$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Which graph correctly presents the variation of acceleration due to gravity with the distance from the centre of
the earth (radius of the earth $=R_{E}$ )?
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In an $LCR$ circuit shown in the following figure, what will be the readings of the voltmeter across the resistor
and ammeter if an a.c. source of $220\,V$ and $100\,Hz$ is connected to it as shown?
a.
$800\,V, 8\,A$
b.
$110\,V, 1.1\,A$
c.
$300\,V, 3\,A$
d.
$220\,V, 2.2\,A$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
An engine pumps water continuously through a hose. Water leaves the hose with velocity $v$ and $m$ is mass per
unit length of the water jet. If this jet hits a surface and came to rest instantaneously, the force on the surface is
a.
$mv^{3}$
b.
$mv^{2}$
c.
$\frac{1}{2}mv^{2}$
d.
$\frac{1}{2}mv^{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Given that $K =$ energy, $V =$ velocity, $T =$ time. If they are chosen as the fundamental units, then what is
dimensional formula for surface tension?
a.
$[KV^{-2}\,T^{-2}]$
b.
$[K^{2}V^{2}T^{-2}]$
c.
$[K^{2}V^{-2}T^{-2}]$
d.
$[KV^{2}T^{2}]$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
In a Young's double slit experiment with light of wavelength $\lambda$ , fringe pattern on the screen has fringe width $\beta$ .
When two thin transparent glass (refractive index $\mu$ ) plates of thickness $t_{1}$ and $t_{2} (t_{1} >t_{2})$ are placed in the
path of the two beams respectively, the fringe pattern will shift by a distance
A particle gets displaced by $\Delta -r= (2\hat{i}+ 3\hat{j}+ 4\hat{k})m$ under the action of a force $\vec{F} = (7\hat{i}+ 4\hat{j}+ 3\hat{k})$ . The change
in its kinetic energy is
a.
$38\,J$
b.
$70\,J$
c.
$52.5\,J$
d.
$126\,J$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The ratio of number of oxygen atoms $(O)$ in $16.0\,g$ ozone $(O_{3}), 28.0\,g$ carbon monoxide $(CO)$ and $16.0$
oxygen $(O_{2})$ is (Atomic mass : $C = 12, O = 16$ and Avogadro's constant $N_{A} = 6.0 \times 10^{23}\,mol^{-1}$ )
a.
$3 : 1 : 2$
b.
$1 : 1 : 2$
c.
$3 : 1 : 1$
d.
$1 : 1 : 1$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
$K_{1},K_{2}$ and $K_{3}$ are the equilibrium constants of the following reactions (I), (II) and (III) respectively: (I)
$N_{2}+ 2O_{2} \rightleftharpoons 2NO_{2}$ (II) $2NO_{2} \rightleftharpoons N_{2}+ 2O_{2}$ (III) $NO_{2} \rightleftharpoons \frac{1}{2}\,N_{2}+ O_{2}$ The correct relation from the following
is
a.
$K_{1} = \frac{1}{K_{2}} = \frac{1}{K_{3}}$
b.
$K_{1} = \frac{1}{K_{2}} = \frac{1}{(K_{3})^{2}}$
c.
$K_{1} = \sqrt{K_{2}} =K_{3}$
d.
$K_{1} = \frac{1}{K_{2}} =K_{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The $d$ -electron configurations of $Cr^{2+}, Mn^{2+}, Fe^{2+}$ and $Co^{2+}$ are $d^{4},d^{5},d^{6}$ and $d^{7}$ respectively. Which one of
the following will exhibit the lowest paramagnetic behaviour? (Atomic no.
$Cr = 24, Mn = 25, Fe = 26, Co = 27$ ).
a.
$[Co(H_{2}O)_{6}]^{2+}$
b.
$[Cr(H_{2}O)_{6}]^{2+}$
c.
$[Mn(H_{2}O)_{6}]^{2+}$
d.
$[Fe(H_{2}O)_{6}]^{2+}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The entropy of a sample of a certain substance increases by $0.836\,J\,K^{-1}$ on adding reversibly $0.3344\,J$ of heat
at constant temperature. The temperature of the sample is:
a.
$2.5\,K$
b.
$0.3\,K$
c.
$0.016\,K$
d.
$0.4\,K$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A battery is constructed of $Cr$ and $Na_{2}Cr_{2}O_{7}$ . The unbalanced chemical equation when such a battery
discharges is following:
$Na_{2}Cr_{2}O_{7}+ Cr + H^{+} \rightarrow Cr\rightarrow^{3+} + H_{2}O + Na^{+}$
If one Faraday of electricity is passed through the battery during the charging, the number of moles of $Cr^{3+}$
removed from the solution is
a.
$\frac{4}{3}$
b.
$\frac{1}{3}$
c.
$\frac{3}{3}$
d.
$\frac{2}{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Reaction rate between two substance $A$ and $B$ is expressed as following: rate $=k[A]^{n}[B]^{m}$ If the
concentration of $A$ is doubled and concentration of $B$ is made half of initial concentration, the ratio of the new
rate to the earlier rate will be:
a.
$m+n$
b.
$n- m$
c.
$\frac{1}{2^{(}^{m}^{+}^{n})}$
d.
$2^{(n-m})$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The concentrated sulphuric acid that is peddled commercial is $95%H_{2}SO_{4}$ by weight. If the density of this
commercial acid is $1.834\,g\,cm^{-3}$ , the molarity of this solution is
a.
$17.8M$
b.
$12.0M$
c.
$10.5M$
d.
$15.7M$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The electron affinity of chlorine is $3.7eV.1$ gram of chlorine is completely converted to $Cl^{-}$ ion in a gaseous
state. $(1eV = 23.06kcalmol^{-1})$ . Energy released in the process is
a.
$4.8kcal$
b.
$7.2kcal$
c.
$8.2kcal$
d.
$2.4kcal$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The frequency distribution of daily working expenditure of families in a locality is as follows:
If the mode of the distribution is Rs. $140$ , then the value of $b$ is
a.
34
b.
31
c.
26
d.
36
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
$ABCD$ is parallelogram. The position vectors of $A$ and $C$ are respectively, $3\hat{i}+ 3\hat{j}+ 5\hat{k}$ and $\hat{i}-5\hat{j}-5\hat{k}$ . If
$--$
$M$ is the midpoint of the diagonal $DB$ , then the magnitude of the projection of $O\vec{M}$ on $O\vec{C}$ , where $O$ is the
origin, is
a.
$7\sqrt{51}$
b.
$\frac{7}{\sqrt{50}}$
c.
$7\sqrt{50}$
d.
$\frac{7}{\sqrt{51}}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If $\vec{a}= \hat{i}-2\hat{j}+ 3\hat{k}, \vec{b}= 2\hat{i}+ 3\hat{j}- \hat{k}$ and $\vec{c}=\lambda \hat{i}+ \hat{j}+ (2\lambda -1\hat{k})$ are coplanar vectors, then $\lambda$ is equal to
a.
0
b.
$-1$
c.
2
d.
1
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let $f(x)$ be an indefinite integral of $cos^{3} x$ . Statement 1: $f(x)$ is a periodic function of period $\pi$ . Statement 2:
$cos^{3} x$ is a periodic function.
a.
Statement 1 is true, Statement 2 is false.
b.
Both the Statements are true, but Statement 2 is not the correct explanation of Statement 1.
c.
Both the Statements are true, and Statement 2 is correct explanation of Statement 1.
d.
Statement 1 is false, Statement 2 is true.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the eccentricity of a hyperbola $\frac{x^{2}}{9} - \frac{y^{2}}{b^{2}} = 1$ , which passes through $(K, 2)$ , is $\frac{\sqrt{13}}{3}$ , then the value of $K^{2}$ is
a.
18
b.
8
c.
1
d.
2
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If a circular iron sheet of radius $30\,cm$ is heated such that its area increases at the uniform rate of $6\pi cm^{2}/hr$ ,
then the rate (in $mm/hr$ ) at which the radius of the circular sheet increases is
a.
$1.0$
b.
$0.1$
c.
$1.1$
d.
$2.0$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If two vertical poles $20\,m$ and $80\,m$ high stand apart on a horizontal plane, then the height (in $m$ ) of the point
of intersection of the lines joining the top of each pole to the foot of other is
a.
16
b.
18
c.
50
d.
15
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The equation of the circle passing through the point $(1, 2)$ and through the points of intersection of
$x^{2} +y^{2} -4x-6y-21 = 0$ and $3x+ 4y+ 5 = 0$ is given by
a.
$x^{2} +y^{2} + 2x+ 2y+ 11 = 0$
b.
$x^{2} +y^{2} -2x+ 2y-7 = 0$
c.
$x^{2} +y^{2} + 2x-2y-3 = 0$
d.
$x^{2} +y^{2} + 2x+ 2y-11 = 0$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let $X$ and $Y$ are two events such that $P(X\cup Y =)PX\cap (Y. )$ Statement 1:
$P(X\cap Y' = PX\dot ' \cap (Y = 0 )$ Statement 2: $P(X)PY \in 2)PX\cap Y( )$
a.
Statement 1 is false, Statement 2 is true.
b.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
c.
Statement 1 is true, Statement 2 is false.
d.
Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
A line with positive direction cosines passes through the point $P(2, -1, 2)$ and makes equal angles with the
coordinate axes. If the line meets the plane $2x+y+z= 9$ at point $Q$ , then the length $PQ$ equals
a.
$\sqrt{2}$
b.
2
c.
$\sqrt{3}$
d.
1
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Let $Z_{1}$ and $Z_{2}$ be any two complex number. Statement 1: $|Z_{1}- Z_{2}| \geq |Z_{1}| -|Z_{2}|$ Statement 2:
$|Z_{1}+Z_{2}| \leq |Z_{1}| + |Z_{2}|$
a.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
b.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
c.
Statement 1 is true, Statement 2 is false.
d.
Statement 1 is false, Statement 2 is true.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
Statement 1: $y=mx- \frac{1}{m}$ is always a tangent to the parabola, $y^{2} = -4x$ for all non-zero values of $m$ .
Statement 2: Every tangent to the parabola, $y^{2} = -4x$ will meet its axis at a point whose abscissa is non-
negative.
a.
Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
b.
Statement 1 is false, Statement 2 is true.
c.
Statement 1 is true, Statement 2 is false.
d.
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
If the number of 5-element subsets of the set $A= {a_{1},a_{2}, … ,a_{20}}$ of 20 distinct elements is $k$ times the
number of 5-element subsets containing $a_{4}$ , then $k$ is
a.
5
b.
$\frac{20}{7}$
c.
4
d.
$\frac{10}{3}$
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
The difference between the fourth term and the first term of a Geometrical Progresssion is 52. If the sum of its
first three terms is 26 , then the sum of the first six terms of the progression is
a.
63
b.
189
c.
728
d.
364
Correct Answer & Step-by-Step Solution Locked
Sign in free to reveal the correct answer and AI explanation for this question.
