WB JEE 2017
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Chemistry

1
WB JEE 2017 Chemistry - Gaseous State Question 10 English
For same mass of two different ideal gases of molecular weights M1 and M2, Plots of log V vs log p at a given constant temperature are shown. Identify the correct option.
2
Which of the following has the dimension if [$$M{L^0}{T^{ - 2}}$$] ?
3
If the given four electronic configurations.

(i) n = 4, l = 1

(ii) n = 4, l = 0

(iii) n = 3, l = 2

(iv) n = 3, l = 1

are arranged in order of increasing energy, then the order will be
4
Which of the following sets of quantum numbers represents the 19th electron of Cr(Z = 24) ?
5
0.126 g of an acid is needed to completely neutralise 20 mL 0.1 (N) NaOH solution. The equivalent weight of the acid is
6
In a flask, the weight ratio of CH4(g) and SO2(g) at 298 K and 1 bar is 1 : 2. The ratio of the number of molecules of SO2(g) and CH4(g) is
7
C6H5F18 is a F18 radio-isotope labelled organic compound. F18 decays by positron emission. The product resulting on decay is
8
Dissolving NaCN in de-ionised water will result in a solution having
9
Among Me3N, C5H5N and MeCN (Me = methyl group) the electronegativity of N is in the order
10
The shape of $$XeF_5^ - $$ will be
11
The ground state magnetic property of B2 and C2 molecules will be
12
The number of unpaired electrons in $${[NiC{l_4}]^{2 - }}$$, $$Ni{(CO)_4}$$ and $${[Cu{(N{H_3})_4}]^{2 + }}$$ respectively are
13
Which of the following atoms should have the highest 1st electron affinity?
14
PbCl2 is insoluble in cold water. Addition of HCl increases its solubility due to
15
Of the following compounds, which one of the strongest Bronsted acid in a aqueous solution?
16
The correct basicity order of the following lanthanide ions is
17
When BaCl2 is added to an aqueous salt solution, a white precipitate is obtained. The anion among CO$$_3^{2 - }$$, SO$$_3^{2 - }$$ and SO$$_4^{2 - }$$ that was present in the solution can be
18
In the IUPAC system, PhCH2CH2CO2H is named as
19
The isomerisation of 1-butyne to 2-butyne can be achieved by treatment with
20
The correct order of acid strengths of benzoic acid (X), peroxybenzoic acid (Y) and p-nitrobenzoic acid (Z) is
21
The yield of acetanilide in the reaction (100% conversion) of 2 moles of aniline with 1 mole of acetic anhydride is
22
The structure of the product P of the following reaction is

WB JEE 2017 Chemistry - Alcohol and Ether Question 6 English
23
ADP and ATP differ in the number of
24
The compound that would produce a nauseating smell/odour with a hot mixture of chloroform and ethanolic potassium hydroxide is
25
For the reaction below

WB JEE 2017 Chemistry - Carboxylic Acids and Amines Question 10 English
the structure of the product Q is
26
You are supplied with 500 mL each of 2N HCl and 5N HCl. What is the maximum volume of 3M HCl that you can prepare using only these two solutions?
27
Which one of the following corresponds to a photon of highest energy?
28
Assuming the compounds to be completely dissociated in aqueous solution, identify the pair of the solutions that can be expected to be isotonic at the same temperature.
29
How many faradays are required to reduce 1 mol of $$C{r_2}O_7^{2 - }$$ to Cr3+ in acid medium?
30
Equilibrium constants for the following reactions at 1200 K are given

2H2O(g) $$\rightleftharpoons$$ 2H2(g) + O2(g), K1 = 6.4 $$\times$$ 10$$-$$8

2CO2(g) $$\rightleftharpoons$$ 2CO(g) + O2(g), K2 = 1.6 $$\times$$ 10$$-$$6

The equilibrium constant for the reaction?

H2(g) + CO2(g) $$\rightleftharpoons$$ CO(g) + H2O(g) at 1200 K will be
31
In a close-packed body-centred cubic lattice of potassium, the correct relation between the atomic radius (r) of potassium and the edge-length (a) of the cube is
32
Which of the following solutions will turn violet when a drop of lime juice is added to it?
33
The reaction sequence given below given product R.

WB JEE 2017 Chemistry - Carboxylic Acids and Amines Question 8 English
The structure of the product R is
34
Reduction of the lactol S WB JEE 2017 Chemistry - Alcohol and Ether Question 5 English with sodium borohydride gives
35
What will be the normality of the salt solution obtained by neutralising x mL y (N) HCl with y mL x(N) NaOH, and finally adding (x + y) mL distilled water
36
During electrolysis of molten NaCl, some water was added. What will happen?
37
The role of fluorspar, which is added in small quantities in the electrolytic reduction of alumina dissolved in fused cryolite is
38
The reduction of benzene diazonium chloride to phenyl hydrazine can be accomplished by
39
The major product(s) obtained form the following reaction of 1 mole of hexadeuteriobenzene is/are

WB JEE 2017 Chemistry - Carbonyl Compounds Question 3 English
40
The conversion of CH3 $$-$$ CH2 $$-$$ COOH to

WB JEE 2017 Chemistry - Carboxylic Acids and Amines Question 9 English
can be accomplished by

Mathematics

1
The number of all numbers having 5 digits, with distinct digits is
2
The greatest integer which divides $$(p + 1)(p + 2)(p + 3)...(p + q)$$ for all $$p \in N$$ and fixed $$q \in N$$ is
3
Let $${(1 + x + {x^2})^9} = {a_0} + {a_1}x + {a_2}{x^2} + ... + {a_{18}}{x^{18}}$$. Then,
4
The linear system of equations

$$\left. \matrix{ 8x - 3y - 5z = 0 \hfill \cr 5x - 8y + 3z = 0 \hfill \cr 3x + 5y - 8z = 0 \hfill \cr} \right\}$$ has
5
Let P be the set of all non-singular matrices of order 3 over R and Q be the set of all orthogonal matrices of order 3 over R. Then,
6
Let $$A = \left( {\matrix{ {x + 2} & {3x} \cr 3 & {x + 2} \cr } } \right),\,B = \left( {\matrix{ x & 0 \cr 5 & {x + 2} \cr } } \right)$$. Then all solutions of the equation det (AB) = 0 is
7
The value of det A, where $$A\, = \left( {\matrix{ 1 & {\cos \theta } & 0 \cr { - \cos \theta } & 1 & {\cos \theta } \cr { - 1} & { - \cos \theta } & 1 \cr } } \right)$$, lies
8
Let $$f:R \to R$$ be such that f is injective and $$f(x)f(y) = f(x + y)$$ for $$\forall x,y \in R$$. If f(x), f(y), f(z) are in G.P., then x, y, z are in
9
On the set R of real numbers we define xPy if and only if xy $$ \ge $$ 0. Then, the relation P is
10
On R, the relation $$\rho$$ be defined by 'x$$\rho$$y holds if and only if x $$-$$ y is zero or irrational'. Then,
11
Mean of n observations x1, x2, ...., xn is $$\overline x $$. If an observation xq is replaced by xq' then the new mean is
12
The probability that a non-leap year selected at random will have 53 Sunday is
13
The equation $$\sin x(\sin x + \cos x) = k$$ has real solutions, where k is a real number. Then,
14
The possible values of x, which satisfy the trigonometric equation

$${\tan ^{ - 1}}\left( {{{x - 1} \over {x - 2}}} \right) + {\tan ^{ - 1}}\left( {{{x + 1} \over {x + 2}}} \right) = {\pi \over 4}$$ are
15
Transforming to parallel axes through a point (p, q), the equation $$2{x^2} + 3xy + 4{y^2} + x + 18y + 25 = 0$$ becomes $$2{x^2} + 3xy + 4{y^2} = 1$$. Then,
16
Let A(2, $$-$$3) and B($$-$$ 2, 1) be two angular points of $$\Delta$$ABC. If the centroid of the triangle moves on the line 2x + 3y = 1, then the locus of the angular point C is given by
17
The point P(3, 6) is first reflected on the line y = x and then the image point Q is again reflected on the line y = $$-$$ x to get the image point Q'. Then, the circumcentre of the $$\Delta$$PQQ' is
18
Let d1 and d2 be the lengths of the perpendiculars drawn from any point of the line $$7x - 9y + 10 = 0$$ upon the lines 3x + 4y = 5 and 12x + 5y = 7, respectively. Then,
19
The common chord of the circles $${x^2} + {y^2} - 4x - 4y = 0$$ and $$2{x^2} + 2{y^2} = 32$$ subtends at the origin an angle equal to
20
The locus of the mid-points of the chords of the circle $${x^2} + {y^2} + 2x - 2y - 2 = 0$$, which make an angle of 90$$^\circ$$ at the centre is
21
Let P be the foot of the perpendicular from focus S of hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ on the line bx $$-$$ ay = 0 and let C be the centre of the hyperbola. Then, the area of the rectangle whose sides are equal to that of SP and CP is
22
B is an extremity of the minor axis of an ellipse whose foci are S and S'. If $$\angle SBS'$$ is a right angle, then the eccentricity of the ellipse is
23
The axis of the parabola $${x^2} + 2xy + {y^2} - 5x + 5y - 5 = 0$$ is
24
The line segment joining the foci of the hyperbola $${x^2} - {y^2} + 1 = 0$$ is one of the diameters of a circle. The equation of the circle is
25
The equation of the plane through (1, 2, $$-$$3) and (2, $$-$$2, 1) and parallel to X-axis is
26
Three lines are drawn from the origin O with direction cosines proportional to (1, $$-$$1, 1), (2, $$-$$3, 0) and (1, 0, 3). The three lines are
27
Consider the non-constant differentiable function f one one variable which obeys the relation $${{f(x)} \over {f(y)}} = f(x - y)$$. If f' (0) = p and f' (5) = q, then f' ($$-$$5) is
28
If $$f(x) = {\log _5}{\log _3}x$$, then f'(e) is equal to
29
Let, $$F(x) = {e^x},G(x) = {e^{ - x}}$$ and $$H(x) = G(F(x))$$, where x is a real variable. Then, $${{dH} \over {dx}}$$ at x = 0 is
30
If f'' (0) = k, k $$ \ne $$ 0, then the value of

$$\mathop {\lim }\limits_{x \to 0} {{2f(x) - 3f(2x) + f(4x)} \over {{x^2}}}$$ is
31
If $$y = {e^{m{{\sin }^{ - 1}}x}}$$ then $$(1 - {x^2}){{{d^2}y} \over {d{x^2}}} - x{{dy} \over {dx}} - $$ky = 0, where k is equal to
32
The chord of the curve $$y = {x^2} + 2ax + b$$, joining the points where x = $$\alpha$$ and x = $$\beta$$, is parallel to the tangent to the curve at abscissa x is equal to
33
Let $$f(x) = {x^{13}} + {x^{11}} + {x^9} + {x^7} + {x^5} + {x^3} + x + 19$$. Then, f(x) = 0 has
34
Let $$f(x) = \left\{ {\matrix{ {{{{x^p}} \over {{{(\sin x)}^q}}},} & {if\,0 < x \le {\pi \over 2}} \cr {0,} & {if\,x = 0} \cr } } \right.$$, $$(p,q \in R)$$. Then, Lagrange's mean value theorem is applicable to f(x) in closed interval [0, x]
35
$$\mathop {\lim }\limits_{x \to 0} {(\sin x)^{2\tan x}}$$ is equal to
36
$$\int {\cos (\log x)dx} $$ = F(x) + C, where C is an arbitrary constant. Here, F(x) is equal to
37
$$\int {{{{x^2} - 1} \over {{x^4} + 3{x^2} + 1}}dx} $$ (x > 0) is
38
Let I = $$\left| {\int {_{10}^{19}{{\sin x} \over {1 + {x^8}}}dx} } \right|$$. Then,
39
Let $${I_1} = \int_0^n {[x]} \,dx$$ and $${I_2} = \int_0^n {\{ x\} } \,dx$$, where [x] and {x} are integral and fractional parts of x and n $$ \in $$ N $$-$$ {1}. Then I1 / I2 is equal to
40
The value of $$\mathop {\lim }\limits_{n \to \infty } \left[ {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + ... + {1 \over {2n}}} \right]$$ is
41
The value of the integral $$\int_0^1 {{e^{{x^2}}}} dx$$
42
$$\int_0^{100} {{e^{x - [x]}}} dx$$ is equal to
43
Solution of $${(x + y)^2}{{dy} \over {dx}} = {a^2}$$ ('a' belong a constant) is
44
The integrating factor of the first order differential equation $${x^2}({x^2} - 1){{dy} \over {dx}} + x({x^2} + 1)y = {x^2} - 1$$ is
45
In a GP series consisting of positive terms, each term is equal to the sum of next two terms. Then, the common ratio of this GP series is
46
If $$({\log _5}x)({\log _x}3x)({\log _{3x}}y) = {\log _x}{x^3}$$, then y equals
47
The expression $${{{{(1 + i)}^n}} \over {{{(1 - i)}^{n - 2}}}}$$ equals
48
Let z = x + iy, where x and y are real. The points (x, y) in the X-Y plane for which $${{{z + i} \over {z - i}}}$$ is purely imaginary, lie on
49
If p, q are odd integers, then the roots of the equation $$2p{x^2} + (2p + q)x + q = 0$$ are
50
Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is
51
Let $$A = \left( {\matrix{ 1 & 1 & 1 \cr 0 & 1 & 1 \cr 0 & 0 & 1 \cr } } \right)$$. Then, for positive integer n, An is
52
Let a, b, c be such that b(a + c) $$ \ne $$ 0. If $$\left| {\matrix{ a & {a + 1} & {a - 1} \cr { - b} & {b + 1} & {b - 1} \cr c & {c - 1} & {c + 1} \cr } } \right| + \left| {\matrix{ {a + 1} & {b + 1} & {c - 1} \cr {a - 1} & {b - 1} & {c + 1} \cr {{{( - 1)}^{n + 2}}a} & {{{( - 1)}^{n + 1}}b} & {{{( - 1)}^n}c} \cr } } \right| = 0$$, then the value of n is
53
On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,
54
If one of the diameters of the curve x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0 is a chord of a circle with centre (1, 1), the radius of this circle is
55
Let A($$-$$ 1, 0) and B(2, 0) be two points. A point M moves in the plane in such a way that $$\angle MBA$$ = 2$$\angle MAB$$. Then, the point M moves along
56
If $$f(x) = \int_{ - 1}^x {|t|} \,dt$$, then for any $$x \ge 0,\,f(x)$$ is equal to
57
Let for all x > 0, $$f(x) = \mathop {\lim }\limits_{n \to \infty } n({x^{1/n}} - 1)$$, then
58
Let $$I = \int_0^{100\pi } {\sqrt {(1 - \cos 2x)} } \,dx$$, then
59
The area of the figure bounded by the parabolas x = $$-$$ 2y2 and x = 1 $$-$$ 3y2 is
60
Tangents are drawn to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1$$ at the ends of both latusrectum. The area of the quadrilateral, so formed is
61
The value of K in order that f(x) = sin x $$-$$ cos x $$-$$ kx + 5 decreases for all positive real values of x is given by
62
For any vector x, where $$\widehat i$$, $$\widehat j$$, $$\widehat k$$ have their usual meanings the value of $${(x \times \widehat i)^2} + {(x \times \widehat j)^2} + {(x \times \widehat k)^2}$$ where $$\widehat i$$, $$\widehat j$$, $$\widehat k$$ have their usual meanings, is equal to
63
If the sum of two unit vectors is a unit vector, then the magnitude of their difference is
64
Let $$\alpha$$ and $$\beta$$ be the roots of $${x^2} + x + 1 = 0$$. If n be a positive integer, then $$\alpha$$n + $$\beta$$n is
65
For real x, the greatest value of $${{{x^2} + 2x + 4} \over {2{x^2} + 4x + 9}}$$ is
66
If a, b$$ \in $$ {1, 2, 3} and the equation ax2 + bx + 1 = 0 has real roots, then
67
If the tangent to $${y^2} = 4ax$$ at the point $$(a{t^2},2at)$$ where | t | > 1 is a normal to $${x^2} - {y^2} = {a^2}$$ at the point $$(a\sec \theta ,a\tan \theta )$$, then
68
The focus of the conic x2 $$-$$ 6x + 4y + 1 = 0 is
69
Let f : R $$ \to $$ R be twice continuously differentiable. Let f(0) = f(1) = f'(0) = 0. Then,
70
If f(x) = xn, being a non-negative integer, then the values of n for which f'($$\alpha$$ + $$\beta$$) = f'($$\alpha$$) + f'($$\beta$$) for all $$\alpha$$, $$\beta$$ > 0 is
71
Let f be a non-constant continuous function for all x $$ \ge $$ 0. Let f satisfy the relation f(x) f(a $$-$$ x) = 1 for some a $$ \in $$ R+. Then, $$I = \int_0^a {{{dx} \over {1 + f(x)}}} $$ is equal to
72
If the line ax + by + c = 0, ab $$ \ne $$ 0, is a tangent to the curve xy = 1 $$-$$ 2x, then
73
Two particles move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity u and the second starts from rest with constant acceleration f. Then,
74
The complex number z satisfying the equation | z $$-$$ 1 | = | z + 1 | = 1 is
75
On R, the set of real numbers, a relation $$\rho $$ is defined as 'a$$\rho $$b if and only if 1 + ab > 0'. Then,

Physics

1
The velocity of a particle executing a simple harmonic motion is 13 ms$$-$$1, when its distance from the equilibrium position (Q) is 3 m and its velocity is 12 ms$$-$$1, when it is 5 m away from Q. The frequency of the simple harmonic motion is
2
A uniform string of length L and mass M is fixed at both ends while it is subject to a tension T. It can vibrate at frequencies (v) given by the formula (where n = 1, 2, 3, ....)
3
A uniform capillary tube of length l and inner radius r with its upper end sealed is submerged vertically into water. The outside pressure is p0 and surface tension of water is $$\gamma$$. When a length x of the capillary is submerged into water, it is found that water levels inside and outside the capillary coincide. The value of x is
4
A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The pressure applied on the liquid is
5
Temperature of an ideal gas, initially at 27$$^\circ$$C, is raised by 6$$^\circ$$C. The rms velocity of the gas molecules will
6
2 moles of an ideal monoatomic gas is carried from a state (p0, V0) to state (2p0, 2V0) along a straight line path in a p-V diagram. The amount of heat absorbed by the gas in the process is given by
7
A solid rectangular sheet has two different coefficients of linear expansion $$\alpha$$1 and $$\alpha$$2 along its length and breadth respectively. The coefficient of surface expansion is (for $$\alpha$$1 t << 1, $$\alpha$$2t < <1)
8
A positive charge Q is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)
9
Three capacitors of capacitance 1.0, 2.0 and 5.0 $$\mu$$F are connected in series to a 10 V source. The potential difference across the 2.0$$\mu$$F capacitor is
10
A charge of 0.8 coulomb is divided into two charges Q1 and Q2. These are kept at a separation of 30 cm. The force on Q1 is maximum when
11
The magnetic field due to a current in a straight wire segment of length L at a point on its perpendicular bisector at a distance r(r >> L)
12
The magnets of two suspended coil galvanometers are of the same strength so that they produce identical uniform magnetic fields in the region of the coils. The coil of the first one is in the shape of a square of side a and that of the second one is circular of radius $${a \over {\sqrt \pi }}$$. When the same current is passed through the coils, the ratio of the torque experienced by the first coil to that experienced by the second one is
13
A proton is moving with a uniform velocity of $${{{10}^6}}$$ ms$$-$$1 along the Y-axis, under the joint action of a magnetic field along Z-axis and an electric field of magnitude 2 $$ \times $$ 104 Vm$$-$$1 along the negative X-axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly (given : $${e \over m}$$ ratio for proton $$ \approx $$ 108 Ckg$$-$$1)
14
When the frequency of the AC voltage applied to a series LCR circuit is gradually increased from a low value, the impedance of the circuit
15
Six wires, each of resistance r, are connected so as to form a tetrahedron. The equivalent resistance of the combination when current enters through one corner and leaves through some other corner is
16
Consider the circuit shown in the figure.

WB JEE 2017 Physics - Current Electricity Question 20 English
The value of the resistance X for which the thermal power generated in it is practically independent of small variation of its resistance is
17
WB JEE 2017 Physics - Current Electricity Question 19 English
Consider the circuit shown in the figure where all the resistances are of magnitude 1 k$$\Omega$$. If the current in the extreme right resistance X is 1 mA, the potential difference between A and B is
18
The ratio of the diameter of the sun to the distance between the earth and the sun is approximately 0.009. The approximate diameter of the image of the sun formed by concave spherical mirror of radius of curvature 0.4 m is
19
Two monochromatic coherent light beams A and B have intensities L and $${{L \over 4}}$$, respectively. If these beams are superposed, the maximum and minimum intensities will be
20
A point object is held above a thin equiconvex lens at its focus. The focal length is 0.1 m and the lens rests on a horizontal thin plane mirror. The final image will be formed at
21
WB JEE 2017 Physics - Geometrical Optics Question 19 English
A parallel beam of light is incident on a glass prism in the shape of a quarter cylinder of radius R = 0.05 m and refractive index n = 1.5, placed on a horizontal table as shown in the figure. Beyond the cylinder, a patch of light is found whose the nearest distance x from the cylinder is
22
The de-Broglie wavelength of an electron is $$0.4 \times {10^{ - 10}}$$ m when its kinetic energy is 1.0 keV. Its wavelength will be $$1.0 \times {10^{ - 10}}$$ m, when its kinetic energy is
23
When light of frequency v1 is incident on a metal with work function W (where hv1 > W), then photocurrent falls to zero at a stopping potential of V1. If the frequency of light is increased to v2, the stopping potential changes to V2. Therefore, the charge of an electron is given by
24
Radon-222 has a half-life of 3.8 days. If one starts with 0.064 kg of radon-222 left after 19 days will be
25
WB JEE 2017 Physics - Electronic Devices Question 11 English
In the given circuit, the binary inputs at A and B are both 1 in one case and both 0 in the next case. The respective outputs at Y in these two cases will be
26
When a semiconducting device is connected in series with a battery and a resistance, a current is found to flow in the circuit. If however, the polarity of the battery is reversed, practically no current flows in the circuit. The device may be
27
The dimension of the universal constant of gravitation, G is
28
Two particles A and B (both initially at rest) start moving towards each other under a mutual force of attraction. At the instant, when the speed of A is v and the speed of B is 2v, the speed of the centre of mass is
29
Three vectors $$\overrightarrow A $$ = a$$\widehat i$$ + $$\widehat j$$ + $$\widehat k$$; $$\overrightarrow B $$ = $$\widehat i$$ + b$$\widehat j$$ + $$\widehat k$$ and $$\overrightarrow C $$ = $$\widehat i$$ + $$\widehat j$$ + c$$\widehat k$$ are mutually perpendicular ($$\widehat i$$, $$\widehat j$$ and k are unit vectors along X, Y and Z-axes respectively). The respective values of a, b and c are
30
A block of mass 1 kg starts from rest at x = 0 and moves along the X-axis under the action of a force F = kt, where t is time and k = 1 Ns$$-$$1. The distance the block will travel in 6 seconds is
31
A particle with charge Q coulomb, tied at the end of an inextensible string of length R metre, revolves in a vertical plane. At the centre of the circular trajectory, there is a fixed charge of magnitude Q coulomb. The mass of the moving charge M is such that $$Mg = {{{Q^2}} \over {4\pi {\varepsilon _0}{R^2}}}$$. If at the highest position of the particle, the tension of the string just vanishes, the horizontal velocity at the lowest point has to be
32
A bullet of mass 4.2 $$ \times $$ 10$$-$$2 kg, moving at a speed of 300 ms$$-$$1, gets stuck into a block with a mass 9 times that of the bullet. If the block is free to move without any kind of friction, the heat generated in the process will be
33
A particle with charge e and mass m, moving along the X-axis with a uniform speed u, enters a region where a uniform electric field E is acting along the Y-axis. The particle starts to move in a parabola. Its focal length (neglecting any effect of gravity) is
34
A unit negative charge with mass M resides at the mid-point of the straight line of length 2a adjoining two fixed charges of magnitude +Q each. If it is given a very small displacement x(x << a) in a direction perpendicular to the straight line, it will
35
Consider the circuit given here. The potential difference VBC between the points B and C is

WB JEE 2017 Physics - Current Electricity Question 14 English
36
If the pressure, temperature and density of an ideal gas are denoted by p, T and $$\rho $$, respectively, the velocity of sound in the gas is
37
Two long parallel wires separated by 0.1 m carry currents of 1A and 2A, respectively in opposite directions. A third current-carrying wire parallel to both of them is placed in the same plane such that it feels no net magnetic force. It is placed at a distance of
38
If $$\chi $$ stands for the magnetic susceptibility of a substance, $$\mu$$ for its magnetic permeability and $$\mu$$0 for the permeability of free space, then
39
Let vn and En be the respective speed and energy of an electron in the nth orbit of radius rn, in a hydrogen atom, as predicted by Bohr's model. Then
40
A small steel ball bounces on a steel plate held horizontally. On each bounce the speed of the ball arriving at the plate is reduced by a factor e (coefficient of restitution) in the rebound, so that Vupward = eVdownward. If the ball is initially dropped from a height of 0.4 m above the plate and if 10 seconds later the bouncing ceases, the value of e is
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