Sansad TV Perspective: Budget 2022-23: Investment and Fiscal Deficit
In the series Sansad TV Perspective, we bring you an analysis of the discussion featured on the insightful programme ‘Perspective’... View Article
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If an electron is moving with velocity [latex]vec{v}[/latex] produces a magnetic field [latex]vec{B}[/latex] , then
a) the direction of field \(\begin{array}{l}\vec{B}\end{array} \) will be the same as the direction of velocity \(\begin{array}{l}\vec{v}\end{array} \) b) the direction of... View Article
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm the potential energy stored in it is:-
a) 4U b) 8U c) 16U d) U/4 Answer: c) 16U Solution: Potential energy ∝ (extension)2 (U1/U2) = (x1/x2)2 (U1/U2) = 1/16... View Article
If a transparent medium of refractive index μ=1.5 and thickness t=2.5×10−5 m is inserted in front of one of the slits of Young’s double slit experiment, how much will be the shift in the interference pattern? The distance between the slits is 0.5 mm and that between slits and screen is 100 cm
a) 5 cm b) 2.5 cm c) 0.25 cm d) 0.1 cm Answer: b) 2.5 cm Solution: Shift in the fringe... View Article
Biot-Savart law indicates that the moving electrons (velocity [latex]vec{v}[/latex]) produce a magnetic field [latex]vec{B}[/latex] such that:
a) \(\begin{array}{l}\vec{B}\perp \vec{v}\end{array} \) b) \(\begin{array}{l}\vec{B}\parallel \vec{v}\end{array} \) c) it obeys inverse cube law d) it is along the line joining the... View Article
A constant voltage is applied to a series R−L circuit by closing the switch. The voltage across inductor (L=2H) is 20V at t=0 and drops to 5V at 20ms. The value of R in Ω
a) 100 In 2Ω b) 100(1- In2) Ω c) 100 In 4Ω d) 100((1- In4) Ω Answer: c) 100 In 4Ω Solution: Value... View Article
Electric field vector in a region is given by [latex]vec{E}=(3hat{i}+4yhat{j}) V/m [/latex]. The potential at the origin is zero. Then the potential at a point (2,1) m is
a) 7 V b) 8 V c) -8 V d) -7 V Answer: c) -8 V Solution: \(\begin{array}{l}\vec{E}=(3\hat{i}+4y\hat{j})\end{array} \) Ex =... View Article
Two bodies are projected at angles θ and (900−θ) to the horizontal with the same speed. The ratio of their times of flight is
a) sin θ: 1 b) cos θ: 1 c) sin θ: cos θ d) cos θ: sin θ Answer: c) sin θ: cos θ Solution: For the first body angle... View Article
A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angular velocity ω, the maximum e.m.f. induced in the coil will be
a) nBAω b) (3/2)nBAω c) 3nBAω d) (1/2)nBAω Answer: a) nBAω Solution: \(\begin{array}{l}\phi = n\vec{B}.\vec{A} \end{array} \) =nBAcosθ ω=θ/t ⇒θ=ωt…(1) ϕ=nBAcosωt... View Article
If the coordinates of a variable point P be (a cosθ,b sinθ) where θ is a variable quantity , find the locus of P.
Solution: Given, Coordinates of a variable point P be (a cosθ,b sinθ) From this we get the x coordinate of... View Article
A wave of frequency 500 Hz travels between X and Y, a distance of 600 m in 2 sec. How many wavelength are there in distance XY?
a) 1000 b) 300 c) 180 d) 2000 Answer: a) 1000 Solution: Velocity, v = d/t = 600/2 = 300 m/s... View Article
A particle is moving along positive X direction and is retarding uniformly. The particle crosses the origin at time t = 0 t=0 and crosses the point x = 4.0 m x=4.0m at t = 2 s t=2s.
(a) Find the maximum speed that the particle can possess at x = 0. (b) Find the maximum value of... View Article
A ball falls from height h. After 1 s, another ball falls freely from a point 25m below the point from where the first ball falls. Both of them reach the ground at the same time. The value of h is
a) 11.2 m b) 21.2 m c) 31.2 m d) 41.2 m Answer: c) 31.2 m Solution: For the first ball,... View Article
A luminous point object is moving along the principal axis of a concave mirror of focal length 12 cm towards it. When its distance from mirror is 20 cm its velocity is 4 cm/s. The velocity of the image in cm/s at that instant is:
a) 6, towards the mirror b) 6, away from the mirror c) 9, away from the mirror d) 9, towards... View Article
The dimensional formula of L/R is same as that of (where L is inductance and R is resistance)
a) (frequency)2 b) time period c) frequency d) (time period)2 Answer: b) time period Solution: Dimensional formula of L is [M1L2C-2T0]... View Article
An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at 135 cm mark. In this experiment, the percentage error in the measurement of the focal length of the lens is ____ .
Answer: 1.39% Solution: u = distance of the object from the lens u = – (75 -45) u = -30... View Article
A body with mass 5 kg is acted upon by a force [latex]F = (-3hat{i}+4hat{j})[/latex] N. If its initial velocity at t=0 is [latex]v = (6hat{i}-12hat{j})m/s[/latex], the time at which it will just have a velocity along the y-axis is
a) never b) 10 s c) 2 s d) 15 s Answer: b) 10 s Solution: Force along x-axis, Fx =... View Article
In the given circuit, the current through Zener diode is
a) 2.5 mA b) 3.3 mA c) 5.5 mA d) 6.7 mA Answer: b) 3.3 mA Solution: Voltage across R1 is... View Article
A charge q is placed at the centre of cubical box of side a with the top open. The flux of the electric field through one of the surface of the cubical box is
Answer: q/6ε0 Solution: Net flux = q/ε0 Total number of face = 6 Flux through one of the face = q/6ε0
How to convert improper fraction to mixed fraction?
As we know, for an improper fraction, the numerator is greater than the denominator.To convert the improper fraction to mixed... View Article
