Prove that the angle between the surface of an inclined plane and a the horizontal (the angle of inclination) is equal to the angle between the normal of the plane and the vertical.

Prove that the angle between the surface of an inclined plane and a the horizontal (the angle of inclination) is equal to the angle between the normal of the plane and the vertical.

The angle between the surface of an inclined plane and a the horizontal (the angle of inclination) is equal to the angle between the normal of the plane and the vertical.

Two charges of equal magnitude q are placed in air at a distance 2 a apart and third charge -2q is placed at mid – point. The potential energy of a system is? ( ԑo = permittivity of free space ) . (MHT-CET ~ 2014)

Two charges of equal magnitude q are placed in air at a distance 2 a apart and third charge -2q is placed at mid – point. The potential energy of a system is? ( ԑ_o = permittivity of free space ) . (MHT-CET ~ 2014)

a ] - q ² / ( 8 π ε _o a )                        b] - 3 q ² / ( 8 π ε _o a )                     

c] – 5 q ² / ( 8 π ε _o a )                     d] - 7 q ² / ( 8 π ε _o a )

Two concentric sphere kept in air have radii R & r . they have similar change and equal charge density σ. The electric potential at their common centre is? ( MHT - CET ~ 2014 )

Two concentric sphere kept in air have radii R & r . they have similar change and equal charge density σ. The electric potential at their common centre is? ( MHT - CET ~ 2014 )

a ]  σ ( R + r ) / ε _o            b ] σ ( R – r ) / ε _o

c ] σ ( R + r ) / 2 ε _o               d ] σ ( R + r ) / 4 ε _o

Black Body Radiation

If the temperature of black body is increased by a factor of 2, the amount of energy and volume radiated increases by a factor of . . . . . . . . . .

( a ) 2               ( b ) 4               ( c ) 8               ( d ) 16

Acceleration due to Gravity; The ratio of escape velocity on the Earth to that on Mars.

The acceleration due to gravity ( g ) on the surface of the Earth is approximately 2 . 6 times that on the surface of the Mars . Given that the radius of Mars is about one half the radius of the Earth , the ratio of the escape velocity on Earth to that on Mars is approximately . . . . . . . . . . .

a ) 1 . 1
b ) 1 . 3
c ) 2 . 3
d ) 5 . 2 

The angle between vector ( i + j ) and ( j + k ) is ( in Radian )

The angle between vector ( i + j ) and ( j + k ) is ( in Radian )

solution :  -

Let us consider

A = i + j

B = j + k

To find out the

Solar Pump (सौर पंप )

Solar Pump  (सौर पंप )

SOLAR PUMP (Prof. S. V. Ghaisas, Dr. Abhijit Date, Mr. Onkar Shinde, Mr. Gole Akshay Chandrakant)

सौर पंप अर्थात सूर्याच्या उर्जेवर चालणारा पंप. पुण्यातील सावित्रीबाई फुले पुणे विद्यापीठातील (पूर्वीचे पुणे विद्यापीठ ) उर्जा आभास प्रणाली आणि ऑस्ट्रेलिया स्थित  RMIT विद्यापीठातील संशोधकांच्या संयुक्त प्रयत्नातून या सौर पंपाची रचना करण्यात आली आहे. या संशोधनावर आधारित एक लेख दैनिक लोकमत मध्ये ८ एप्रिल २०१५ रोजी प्रसिद्ध करण्यात आला होता.