Maths-
General
Easy

Question

Let P equals open square brackets a subscript i j end subscript close square brackets be a 3 cross times 3 matrix and let Q equals left square bracket b subscript i j end subscript right square bracket, where b subscript i j end subscript equals 2 to the power of i plus j end exponent a subscript i j end subscript for 1 less than i comma j less than 3 If the determinant of P is 2, then the determinant of the matrix Q is ‐

  1. 2 to the power of 10 end exponent    
  2. 2 to the power of 11 end exponent    
  3. 2 to the power of 12 end exponent    
  4. 2 to the power of 13 end exponent    

The correct answer is: 2 to the power of 13 end exponent

Related Questions to study

General
physics-

The power factor of the circuit is 1 divided by square root of 2 The capacitance of the circuit is equal to

The power factor of the circuit is 1 divided by square root of 2 The capacitance of the circuit is equal to

physics-General
General
physics-

In a L–R decay circuit, the initial current at t = 0 is I. The total charge that has flown through the resistor till the energy in the inductor has reduced to one–fourth its initial value, is

In a L–R decay circuit, the initial current at t = 0 is I. The total charge that has flown through the resistor till the energy in the inductor has reduced to one–fourth its initial value, is

physics-General
General
physics-

The current in the given circuit is increasing with a rate a = 4 amp/s. The charge on the capacitor at an instant when the current in the circuit is 2 amp will be :
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/610610/1/1102617/Picture43.png" alt=""

The current in the given circuit is increasing with a rate a = 4 amp/s. The charge on the capacitor at an instant when the current in the circuit is 2 amp will be :
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/610610/1/1102617/Picture43.png" alt=""

physics-General
parallel
General
physics-

The radius of curvature of the left and right surface of the concave lens are 10cm and 15cm respectively. The radius of curvature of the mirror is 15cm

The radius of curvature of the left and right surface of the concave lens are 10cm and 15cm respectively. The radius of curvature of the mirror is 15cm

physics-General
General
physics-

An object O is kept infront of a converging lens of focal length 30cm behind which there is a plane mirror at 15cm from the lens

An object O is kept infront of a converging lens of focal length 30cm behind which there is a plane mirror at 15cm from the lens

physics-General
General
physics-

A diminished image of an object is to be obtained on a large screen 1 m from it. This can be achieved by

A diminished image of an object is to be obtained on a large screen 1 m from it. This can be achieved by

physics-General
parallel
General
physics-

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript2 as shown in figures A and B Identify the correct statement(s) related to the formation of images of a real object O placed at x from the pole of the concave surface, as shown in figure B

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript2 as shown in figures A and B Identify the correct statement(s) related to the formation of images of a real object O placed at x from the pole of the concave surface, as shown in figure B

physics-General
General
physics-

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript as shown in figures A and B Choose the correct statement(s) related to the virtual image formed by object O placed at a distance x, as shown in figure A

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript as shown in figures A and B Choose the correct statement(s) related to the virtual image formed by object O placed at a distance x, as shown in figure A

physics-General
General
physics-

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript as shown in figures A and B Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A

A curved surface of radius R separates two medium of refractive indices mu subscript 1 end subscript and mu subscript 2 end subscript as shown in figures A and B Choose the correct statement(s) related to the real image formed by the object O placed at a distance x, as shown in figure A

physics-General
parallel
General
physics-

Two refracting media are separated by a spherical interface as shown in the figure. PP’ is the principal axis, m1 and m2 are the refractive indices of medium of incidence and medium of refraction respectively. Then :

Two refracting media are separated by a spherical interface as shown in the figure. PP’ is the principal axis, m1 and m2 are the refractive indices of medium of incidence and medium of refraction respectively. Then :

physics-General
General
physics-

In the figure shown a point object O is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. If is the final image formed after all the refractions and reflections

In the figure shown a point object O is placed in air on the principal axis. The radius of curvature of the spherical surface is 60 cm. If is the final image formed after all the refractions and reflections

physics-General
General
physics-

In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?

In the diagram shown, a ray of light is incident on the interface between 1 and 2 at angle slightly greater than critical angle. The light suffers total internal reflection at this interface. After that the light ray falls at the interface of 1 and 3, and again it suffers total internal reflection. Which of the following relations should hold true?

physics-General
parallel
General
physics-

The figure shows a ray incident at an angle i = pi/3. If the plot drawn shown the variation of | r – i | versus fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis

The figure shows a ray incident at an angle i = pi/3. If the plot drawn shown the variation of | r – i | versus fraction numerator mu subscript 1 end subscript over denominator mu subscript 2 end subscript end fraction equals k comma left parenthesis r equals blank a n g l e blank o f blank r e f r a c t i o n blank right parenthesis

physics-General
General
physics-

A ray of light is incident normally on one face of 30° – 60° – 90° prism of refractive index 5/3 immersed in water of refractive index 4/3 as shown in figure

A ray of light is incident normally on one face of 30° – 60° – 90° prism of refractive index 5/3 immersed in water of refractive index 4/3 as shown in figure

physics-General
General
physics-

In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. AB is object

In the figure shown consider the first reflection at the plane mirror and second at the convex mirror. AB is object

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.