A concave lens and a convex mirror both are dipped in an oil of refractive index 1.2. The focal length of:

A charge q is enclosed by a spherical Gaussian surface of radius R. If the radius of the sphere is doubled, how will the outward electric flux change?

Which of the following statement(s) is/are true for p-type semiconductors?
(A) Holes are minority carriers and pentavalent atoms are the dopants.
(B) Electrons are majority carriers and trivalent atoms are the dopants.
(C) Holes are majority carriers and trivalent atoms are the dopants.
(D) Electrons are minority carriers and trivalent atoms are the dopants.
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Which of the following statement(s) is/are incorrect?
(A) The Kirchhoff's laws are equally applicable in alternating current circuit and direct current circuits.
(B) It is not necessary that the wire stretched on the meter bridge must have a uniform cross-sectional area.
(C) The internal resistance of the cell does not affect the reading of the null point in metre bridge.
(D) Electrical potential has no direction, the electrical potential gradient has a direction.

Find the true statement:

Two concentric coils, each of radius \( 2\pi \, \text{cm} \), are placed at right angles to each other. Currents of 3 A and 4 A respectively are flowing through the two coils. The magnetic induction at the center of the coils will be:

The far point of a myopic person is 80 cm. The power of corrective lens will be

The winding of the solenoid with 1000 turns per meter, core material with relative permeability 400 and carrying a current of 2 A, the magnetisation (M) is approximately given by :

Select the steps of PCR technique from the following: DU Buddy
A. Primer synthesis
B. Primer annealing
C. DNA denaturation
D. Primer extension
E. DNA cleavage
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The Evil Quartet' of biodiversity loss is -

Area of the region bounded by \(y=x^2\) and the line \(y=16\) is

Match List-l with List-II

List-l (Population interaction)	List-II (Species A / Species B)
(A) Mutualism	(I) +/0
(B) Competition	(II) +/+
(C) Commensalism	(III) -/0
(D) Amensalism	(IV) -/-

'-' sign for detrimental interaction, '0' sign for neutral interaction, '+' sign for beneficial interaction
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The following data shows the percentage of rural and urban Indian households who have a high speed internet connection.

Year(x)	Rural Household \((y \%)\)	Urban Household\((y \%)\)
2020	2	6
2021	3	7
2022	3	9
2023	4	15
2024	5	20

Based on the above data, which of the following statements are correct?
(A) A straight line trend by the method of least squares for rural Indians \(y_t=3.4+0.7(x-2022)\)
(B) A straight line trend by the method of least squares for urban Indians is \(y_t=11.4+4.3(x-2022)\)
(C) The forecast for the year 2025 for urban group using the trend equation is \(22.2 \%\)
(D) The forecast for the year 2025 for rural group using the trend equation is \(5.5 \%\)
Choose the correct answer from the options given below :