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A block of mass M is pulled vertically upward through a rope of mass m by applying force F on-one end of the rope. What force does the rope exert on the block? |
The work function of a metal is 4 eV. If light of frequency 2.3 × 10^(15) Hz is incident on metal surface, then, (1) No photoelectron will be ejected (2) 2 photoelectron of zero kinetic energy are ejected (3) 1 photoelectron of zero kinetic energy is ejected (4) 1 photoelectron is ejected, which required the stopping potential of 5.52 volt |
The energy required to dislodge electron from excited isolated H-atom, IE_1 = 13.6 eV is (1) = 13.6 eV (2) > 13.6 eV (3) < 13.6 eV and > 3.4 eV (4) ≤ 3.4 eV |
In moving a body of mass m up and down a rough incline plane of inclination θ, work done is (S is length of the planck, and μ is coefficient of friction). |
The acceleration of an object is given by a(t) = cos(nπ), and its velocity at time t = 0 is (1/(2π)). Find both the net and the total distance traveled in the first 1.5 seconds. |
A particle of mass 1 gram executes an oscillatory motion on the concave surface of a spherical dish of radius 2 m, placed on a horizontal plane. If the motion of the particle starts from a point on the dish at the height of 1 cm from the horizontal plane and the coefficient of friction is 0.01, how much total distance will be moved by the particle before it comes to rest? |
In an atom the last electron is present in f-orbital and for its outermost shell the graph of Ψ^2 has 6 maximas. What is the sum of group and period of that element? |
The second overtone of a fixed viberating string fixed at both end is 200cm. Find the length of the string. |
Draw the free body diagram of following system: |
Why ionic radii of^(35) Cl <^(37) Cl^− ? |
The solid angle subtended by a spherical surface of radius R at its centre is (π/2) steradian, then the surface area of corresponding spherical section is |
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Calculate the magnetic field produced at ground level by a 15A current flowing in a long horizontal wire suspended at a height of 7.5m |
A glass bulb contains 2.24 L of H_2 and 1.12 L of D_2 at S.T.P. It is connected to a fully evacuated bulb by a stopcock with a small opening. The stopcock is opened for sometime and then closed. The first bulb now contains 0.1 g of D_2 . Calculate the percentage composition by weight of the gases in the second bulb. |
lemme join miss Tawa Tawa here. It takes 8 painters working at the same rate ,5 hours to paint a house.If 6 painters are working at 2/3 the rate of the 8 painters,how long would it take them to paint the same house? |
30cm^3 of hydrogen at s.t.p combines with 20cm^3 of oxygen to form steam according to the following equation, 2H_2 (g) + O_2 (g) → 2H_2 O (g). Calculate the total volume of gaseous mixture at the end of the reaction. |
Let a, b, c ∈ R, a ≠ 0, such that a and 4a + 3b + 2c have the same sign. Show that the equation ax^2 + bx + c = 0 can not have both roots in the interval (1, 2). |
A river of width d is flowing with speed u as shown in the figure. John can swim with maximum speed v relative to the river and can cross it in shortest time T. John starts at A. B is the point directly opposite to A on the other bank of the river. If t be the time John takes to reach the opposite bank, match the situation in the column I to the possibilities in column II. Column I (A) John reaches to the left of B (B) John reaches to the right of B (C) John reaches the point B (D) John drifts along the bank while minimizing the time Column II (p) t = T (q) t > T (r) u < v (s) u > v |
From the topic transformer prove that: e = (√2) ε cos(ωt) |
Consider the iteration x_(k+1) =x_k −(([f(x)]^2 )/(f(x_k +f(x_k ))−f(x_k ))), k=0,1,2,... for the solution of f(x)=0. Explain the connection with Newton′s method, and show that (x_k ) converges quadratically if x_0 is sufficiently close to the solution. |
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The pulley arrangements are identical. The mass of the rope is negligible. In (a), the mass m is lifted up by attaching a mass (2m) to the other end of the rope. In (b), m is lifted up by pulling the other end of the rope with a constant downward force F = 2mg. In which case, the acceleration of m is more? |
In a triangle ABC with fixed base BC, the vertex A moves such that cos B + cos C = 4 sin^2 (A/2) . If a, b and c denote the lengths of the sides of the triangle opposite to the angles A, B and C respectively, then (1) b + c = 4a (2) b + c = 2a (3) Locus of point A is an ellipse (4) Locus of point A is a pair of straight lines |
A balloon moves up vertically such that if a stone is projected with a horizontal velocity u relative to balloon, the stone always hits the ground at a fixed point at a distance ((2u^2 )/g) horizontally away from it. Find the height of the balloon as a function of time. |
Pg 132 Pg 133 Pg 134 Pg 135 Pg 136 Pg 137 Pg 138 Pg 139 Pg 140 Pg 141 |